Pith. sign in

Paper Citation Record · LEDGER

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms

As of 13 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2411.15225.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.15225 v2

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:56:10.103975Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

56 of 56 outbound references displayed

  • verified exact9
  • verified fuzzy1
  • unresolved38
  • parse uncertain0
  • malformed identifier5
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 444b5cbf-e93b-4359-8295-d27989b2f0e9 · outbound

This paper cites Nonlinear programming: theory and algorithms.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Nonlinear programming: theory and algorithms

Reference 1

Resolution
verified exact
doi, observed 2026-08-12T15:56:11.510963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.456703Z digest=sha256:551a925117adf191e17b9eb48093df3495ea092d59fd615421c07aa3fe364d99

Observation ab01472c-1b7e-4f7c-a22c-5bc69bf4ec97 · outbound

This paper cites Convex optimization.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Convex optimization

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.467830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.467830Z digest=sha256:f5c8024398dac8a955ddbed0c27ced09e03f2c988d360bff20f0b4c6ae314acf

Observation 5a9991e7-73c5-4362-a6f5-e83371ffff22 · outbound

This paper cites Linear optimization problem constrained by fuzzy max–min relation equations.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Linear optimization problem constrained by fuzzy max–min relation equations

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.478615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.478615Z digest=sha256:0ecafda15b8f30def19938c530f9d302e83c62332cf398da90001c866f86e382

Observation ceede5ad-5347-4fd5-9f5b-2322364ca2b7 · outbound

This paper cites Fuzzy relation equations (i): the general and specialized solving algorithms.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Fuzzy relation equations (i): the general and specialized solving algorithms

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.506457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.506457Z digest=sha256:4550527535f5f11c92cc62d5ebf5a8aacb9432fcb9db9d54c9a5d1f5559c4c01

Observation 77e3cf0b-d2c0-44da-85cb-8aab7e9b8139 · outbound

This paper cites Fuzzy relation equations (ii): the branch-point-solutions and the categorized minimal solutions.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Fuzzy relation equations (ii): the branch-point-solutions and the categorized minimal solutions

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.528813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.528813Z digest=sha256:82269cf422ae1e9dc2c63e919732a476f18107bf8354c509a7770a2dd681d4b1

Observation 84f4f1b5-6eed-4866-990c-0b11c05ba64d · outbound

This paper cites Bipolar fuzzy relation equations based on the product t- norm.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Bipolar fuzzy relation equations based on the product t- norm

Reference 6

Resolution
metadata mismatch
raw_fallback, observed 2026-08-12T15:56:12.201369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.539182Z digest=sha256:d7ffa21b11d0af6cacc8e98d51a05f89410c37a6859a199d7db80f86a57b38bd

Observation c7b94f58-d5b6-454c-8296-d2e107ba2a62 · outbound

This paper cites On the calculation of a membership function for the solution of a fuzzy linear optimization problem.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms On the calculation of a membership function for the solution of a fuzzy linear optimization problem

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.549889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.549889Z digest=sha256:9b643fad67ac8e09cb0f7c4a45d440c3f1bad0359d9fa0a6462869ebc5213b18

Observation 71efb40e-0f70-4190-bf3f-71c51b0f5310 · outbound

This paper cites Fuzzy relation equations and their applications to knowledge engineering , volume 3.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Fuzzy relation equations and their applications to knowledge engineering , volume 3

Reference 8

Resolution
verified exact
doi, observed 2026-08-12T15:56:11.358211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.565983Z digest=sha256:ae0d9afff3a3d183522c84a26e36b7d98ffdb460d234cd8427331ec103b5103e

Observation 728a41e7-0a62-4e47-8e8a-98c072bedfb3 · outbound

This paper cites Fuzzy linear programming under interval uncertainty based on ifs representation.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Fuzzy linear programming under interval uncertainty based on ifs representation

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.574232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.574232Z digest=sha256:18f3cd6e4d2bd2f9a25862cf11c0c223eed898db5d9e4fe71eca8e571eb43ad3

Observation 49894990-14a9-4ed0-9213-843804fceec9 · outbound

This paper cites An introduction to bipolar representations of information and preference.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms An introduction to bipolar representations of information and preference

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.587764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.587764Z digest=sha256:56f5341aab125e7a8509b4a1470f42f68eb07078e789d836092a14756e7ab470

Observation b3f6a475-b456-4782-8c43-5e1ddb733810 · outbound

This paper cites An overview of the asymmetric bipolar representation of positive and negative information in possibility theory.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms An overview of the asymmetric bipolar representation of positive and negative information in possibility theory

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.595541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.595541Z digest=sha256:8021e4fbfbf862855996048b3228786d9ef7853d5274d636b0cbada03c03c971

Observation 9c80fb95-f881-42a1-9c4f-13a162f7fc82 · outbound

This paper cites Generalized fuzzy linear programming for decision making under uncertainty: Feasibility of fuzzy solutions and solving approach.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Generalized fuzzy linear programming for decision making under uncertainty: Feasibility of fuzzy solutions and solving approach

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.610541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.610541Z digest=sha256:d069ab31ae1800c7c6d21eacc53c8101324d98d22d9dc6ddad3f386541cb2b64

Observation cf9ca6b5-913d-4799-af53-88978f48cf77 · outbound

This paper cites Solving fuzzy relation equations with a linear objective function.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Solving fuzzy relation equations with a linear objective function

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.623527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.623527Z digest=sha256:90885dfeae384e1651456304c7cc9b58832ec04720c1d2f889847a38d7b39b83

Observation 909ad851-91cf-4c0f-bf6e-16be37ab5dc8 · outbound

This paper cites Linear optimization with bipolar max–min constraints.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Linear optimization with bipolar max–min constraints

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.635834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.635834Z digest=sha256:f6d19e89605284283a0e51b62cca00c3c83f971975a347fde1bf1c2fbc3d13ae

Observation 745fb70c-72f7-44fe-bac2-7537d36a43b8 · outbound

This paper cites Linear optimization problem subjected to fuzzy relational equations and fuzzy constraints.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Linear optimization problem subjected to fuzzy relational equations and fuzzy constraints

Reference 15

Resolution
verified exact
raw_fallback, observed 2026-08-12T15:56:12.073381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.644774Z digest=sha256:b9de40f2a51c46375785fe5bdcde38e73375afe03320925744cc1a6ed04335f7

Observation 4d0a2dca-606d-4e44-8697-2f100dc0af58 · outbound

This paper cites Optimization of linear problems subjected to the intersection of two fuzzy relational inequalities defined by dubois-prade family of t-norms.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Optimization of linear problems subjected to the intersection of two fuzzy relational inequalities defined by dubois-prade family of t-norms

Reference 16

Resolution
verified exact
doi, observed 2026-08-12T15:56:11.186299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.661469Z digest=sha256:6c3dc535611ab9644e6722355995496527b4929e50349d8e30adec4418b7e74b

Observation 3c469724-0eaa-403a-9988-3b42546d044f · outbound

This paper cites An efficient genetic algorithm for solving nonlinear optimization problems defined with fuzzy relational equations and max-lukasiewicz composition.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms An efficient genetic algorithm for solving nonlinear optimization problems defined with fuzzy relational equations and max-lukasiewicz composition

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:56:12.356365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.671585Z digest=sha256:dc5d2700d4be5bf01763a1701d765347cb100f61d48cf5a6d3970ca5105c409e

Observation 48fcdee7-0aad-4d24-824b-9146a87d9bae · outbound

This paper cites Solving linear optimization problems subject to bipolar fuzzy relational equalities defined with max-strict compositions.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Solving linear optimization problems subject to bipolar fuzzy relational equalities defined with max-strict compositions

Reference 18

Resolution
metadata mismatch
raw_fallback, observed 2026-08-12T15:56:11.953658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.692212Z digest=sha256:b30391be6eee94729a9479bf4c22683c9e9d11bfe533d570b5ff542f6d832f66

Observation 7af69df7-fa4c-49ac-bd35-0edca1f3d14b · outbound

This paper cites Fuzzy linear optimization in the presence of the fuzzy relation inequality constraints with max–min composition.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Fuzzy linear optimization in the presence of the fuzzy relation inequality constraints with max–min composition

Reference 19

Resolution
verified exact
doi, observed 2026-08-12T15:56:11.114260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.703122Z digest=sha256:b80cea9c7a140fca9c763cbe5bf9a0f3bfc17bf715a98d39b4dd9b53b70e6b49

Observation 776570ef-61c8-45a7-9af5-01c1f6e2cd2a · outbound

This paper cites Linear optimization with an arbitrary fuzzy relational inequality.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Linear optimization with an arbitrary fuzzy relational inequality

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.715944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.715944Z digest=sha256:7b942cd9bfed0f322f48662b308127d4ac317708db79b31a438dee6dc0475871

Observation 296f6fda-0644-4051-84de-4ac8ad33f6d2 · outbound

This paper cites Nonlinear optimization problem subjected to fuzzy relational equations defined by dubois-prade family of t-norms.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Nonlinear optimization problem subjected to fuzzy relational equations defined by dubois-prade family of t-norms

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.726546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.726546Z digest=sha256:613d5e742be7da1d4aafab46ba1ffdc1983e0620e8c0f1e7d68e3be21e01b500

Observation 63d5e400-b406-488c-bfdd-df5ae520be2e · outbound

This paper cites An algorithm for solving optimization problems with fuzzy relational inequality constraints.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms An algorithm for solving optimization problems with fuzzy relational inequality constraints

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.735426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.735426Z digest=sha256:fc13303f04b6282ef9529b58f3de701f301e6f113a1a9cdff587a49dd7c91b68

Observation fa8bed2e-8cd8-4340-b7c3-ce514d4f5ee3 · outbound

This paper cites Minimizing a linear objective function with fuzzy relation equation constraints.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Minimizing a linear objective function with fuzzy relation equation constraints

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.751344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.751344Z digest=sha256:b13e133dc8817db25c59e1328272ae08deab2c463dd3d31669ffabd6b96aa91f

Observation c9c4d493-5b9b-43a9-b220-e7d8ec5bba7a · outbound

This paper cites Minimizing a linear objective function under a max-t-norm fuzzy relational equation constraint.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Minimizing a linear objective function under a max-t-norm fuzzy relational equation constraint

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.768674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.768674Z digest=sha256:bef855400234b66d60b8f309a37947290ffb51ed05d92f21125e7cf9d97a2de6

Observation b0ef9733-ff1a-4813-b555-cce351867a10 · outbound

This paper cites Solving fuzzy relational equations through logical filtering.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Solving fuzzy relational equations through logical filtering

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.780105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.780105Z digest=sha256:5216ff9fc323f35e52d6d1c991c5550e41446d2d0af04d14011890d3a4b70b04

Observation fd163007-cb63-447a-90fd-b53e0fd09659 · outbound

This paper cites On the optimal three-tier multimedia streaming services.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms On the optimal three-tier multimedia streaming services

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.788722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.788722Z digest=sha256:1c6bf3e89ee4630bc5257f32a07ee8f387dd204209924339d295681fc19164d2

Observation 9049bf4c-7e8e-42c6-bd90-6dbd3297ec57 · outbound

This paper cites Fuzzy relation inequalities about the data transmission mechanism in bittorrent- like peer-to-peer file sharing systems.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Fuzzy relation inequalities about the data transmission mechanism in bittorrent- like peer-to-peer file sharing systems

Reference 27

Resolution
metadata mismatch
raw_fallback, observed 2026-08-12T15:56:11.808348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.797199Z digest=sha256:9b10e40e997327341a3ff6d1a613b190f842ae45c9199328dfac25c32ff96354

Observation 844272cf-15e3-499f-b39c-5d5d788ec82c · outbound

This paper cites On the resolution and optimization of a system of fuzzy relational equations with sup-t composition.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms On the resolution and optimization of a system of fuzzy relational equations with sup-t composition

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.809866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.809866Z digest=sha256:48462314d45d9f153a7cca616ab9c04c4dc01eb9f6fcf6920966b1de2e1c8308

Observation fbc44abc-cf76-412e-80d4-898ddd86799a · outbound

This paper cites On the resolution of bipolar max-min equations.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms On the resolution of bipolar max-min equations

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.818106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.818106Z digest=sha256:9387cf2dd6a3bfe5e7cc782bfea5a96c3b89cf7d9bd5505e9ebf24efea8b738b

Observation 18a47b86-7f6c-476b-b209-2eac44f65db5 · outbound

This paper cites Linear optimization with bipolar fuzzy relational equation constraints using the lukasiewicz triangular norm.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Linear optimization with bipolar fuzzy relational equation constraints using the lukasiewicz triangular norm

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.830580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.830580Z digest=sha256:c7f3f47dfe3a1f63c976c398174d59b4bd410d4219126786c915d08a98a45038

Observation e1f932a4-e8e1-4785-817f-646d39649818 · outbound

This paper cites On the relation between fuzzy max-archimedean t-norm relational equations and the covering problem.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms On the relation between fuzzy max-archimedean t-norm relational equations and the covering problem

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.838414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.838414Z digest=sha256:3db248cbd995307324e19ba360092b63420a0507afd94de2d5a6fd2e6692dffa

Observation a65d1e8e-2e61-4a60-921a-c367021ccac7 · outbound

This paper cites On fuzzy relational equations and the covering problem.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms On fuzzy relational equations and the covering problem

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.846577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.846577Z digest=sha256:773ed549bb04bbc923562c617ad3da0fdf47a1de5e7f247f4c3df8275a05b5a0

Observation 542a2d3d-8596-47b6-92a7-5377c57e700f · outbound

This paper cites Linear optimization of bipolar fuzzy relational equations with max- lukasiewicz composition.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Linear optimization of bipolar fuzzy relational equations with max- lukasiewicz composition

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.865575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.865575Z digest=sha256:ee8f47a3b521a39b5784d203afef1c0b8b9552dbd5bc958e7f2a772d66c3f94f

Observation 0c719937-ecfe-4f15-a811-332d56b0c174 · outbound

This paper cites Optimization of fuzzy relation equations with max-product com- position.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Optimization of fuzzy relation equations with max-product com- position

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.884755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.884755Z digest=sha256:f9cd11593f8e9e3e54b8d9df49028ac87df66499f3fd6759357d7d889ae7e178

Observation 86072311-3977-4b5c-a784-aa3b5ec1b06b · outbound

This paper cites On the relation between equations with max-product composition and the covering problem.Fuzzy Sets and Systems , 153(2):261–273, 2005.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms On the relation between equations with max-product composition and the covering problem.Fuzzy Sets and Systems , 153(2):261–273, 2005

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.892968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.892968Z digest=sha256:19c67eed2430cd02647ce8a90bb1b21716b421d321a171938a181844a219c4d7

Observation 8582144c-2684-4e2c-9900-4cf7116c2e4e · outbound

This paper cites Comparison of fuzzy reasoning methods.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Comparison of fuzzy reasoning methods

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.909568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.909568Z digest=sha256:f770ee45ee0c71a1f5f8c9dd138dde1f4083c9c08e2e81910fc9254dac8377a6

Observation c805e477-1859-4cc7-a098-ad32898631ba · outbound

This paper cites Fuzzy relational equations with generalized connectives and their applications.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Fuzzy relational equations with generalized connectives and their applications

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.921596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.921596Z digest=sha256:2fd2d07f1cb10a88d6189aa04665f058f766b127fb16a0bfc586b93e1cc32a46

Observation 96c337dc-a088-4d6d-a226-319de8f06f8c · outbound

This paper cites Granular computing: analysis and design of intelligent systems.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Granular computing: analysis and design of intelligent systems

Reference 38

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:56:12.316049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.928874Z digest=sha256:93878dd014a0af5cd6db7f2db08c8ffb1db488832f1e3f6db9ef5f50f1299088

Observation 7da63c5f-ef71-4992-a1f5-d67e4b516f73 · outbound

This paper cites Minimization of linear objective functions under the constraints expressed by a system of fuzzy relation equations.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Minimization of linear objective functions under the constraints expressed by a system of fuzzy relation equations

Reference 39

Resolution
verified exact
doi, observed 2026-08-12T15:56:10.560512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.939804Z digest=sha256:f1e5cc145b1f298a06c553ff7b744568b06ce5b4fdaa8b0e7530f4b4c094056a

Observation b477783f-5906-498b-9f6e-1b68782550d8 · outbound

This paper cites Conditions under which the solution sets of fuzzy relational equations over complete brouwerian lattices form lattices.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Conditions under which the solution sets of fuzzy relational equations over complete brouwerian lattices form lattices

Reference 40

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:56:12.284143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.952279Z digest=sha256:a172bf7a521266f5432b20510cdb7d7069b36acee8d0a5f6da7ae6bab900efbe

Observation a8c26687-83a6-4db2-be0a-0f93759d30a8 · outbound

This paper cites Resolution of eigen fuzzy sets equations.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Resolution of eigen fuzzy sets equations

Reference 41

Resolution
malformed identifier
no resolver link, observed 2026-08-12T15:56:09.962895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.962895Z digest=sha256:f1093767e3af3399c60719aa1da9c7a616ffde7458c1ad6327acefed8495a311

Observation 7c4a683a-8db4-45f2-b0f4-456ab3741107 · outbound

This paper cites Solutions in composite fuzzy relation equations: application to medical diagnosis in brouwerian logic.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Solutions in composite fuzzy relation equations: application to medical diagnosis in brouwerian logic

Reference 42

Resolution
verified exact
doi, observed 2026-08-12T15:56:10.536046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.968501Z digest=sha256:abe5e71e13ab51108e1f85283b1996f021e36cd2dde1e7b00e51d86df21e11de

Observation a7e78954-1c12-437e-b9b1-417f5fee42be · outbound

This paper cites Infinite fuzzy relation equations with continuous t-norms.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Infinite fuzzy relation equations with continuous t-norms

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.977338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.977338Z digest=sha256:136e98869dd0c1b8e11bbeec6a2b9cad70b96c9b2f38995b5dc77c7b698df8a7

Observation 77cea451-62d5-4ca5-8d33-701248d8dedf · outbound

This paper cites Minimizing a linear objective function under a fuzzy max-t norm relation equation constraint.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Minimizing a linear objective function under a fuzzy max-t norm relation equation constraint

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.989683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.989683Z digest=sha256:31e4359fd32b6828bc5bed7e8daa89184e5c85dbcc97fed5e0333b7b1db96a2b

Observation 0999a55c-039d-49ac-bff5-60d4585e3614 · outbound

This paper cites Conditions for the existence of the least solution and minimal solutions to fuzzy relation equations over complete brouwerian lattices.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Conditions for the existence of the least solution and minimal solutions to fuzzy relation equations over complete brouwerian lattices

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:09.997121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:09.997121Z digest=sha256:2da67db7b85fd484ae3e265b6eeb4cbaf8c705ab2258de18b3b0d1d64e707bcf

Observation 90535a11-4aff-4a8e-849a-02ebb5453d1a · outbound

This paper cites Minimal join decompositions and their applications to fuzzy relation equations over complete brouwerian lattices.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Minimal join decompositions and their applications to fuzzy relation equations over complete brouwerian lattices

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:10.007210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:10.007210Z digest=sha256:476c075b9fd835020e2c192559b4cfcc51cdfba5da70728aa78a17148af9d166

Observation 7b3ff934-de49-4868-ad35-5682c01062c9 · outbound

This paper cites Optimization of fuzzy relational equations with max-av composition.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Optimization of fuzzy relational equations with max-av composition

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:10.015295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:10.015295Z digest=sha256:145585cc5c957da97fbf85517e30a211b730393b3dfacb05ffbfc7eeedc42be8

Observation 5ec6e9e0-a4a6-459f-a0e6-ff65cb8a10fa · outbound

This paper cites Minimizing a linear function under a fuzzy max–min relational equation con- straint.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Minimizing a linear function under a fuzzy max–min relational equation con- straint

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:10.024337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:10.024337Z digest=sha256:fa2277876c8cd3b2f85184781d6e8cb44a7cf6c1ee00d5061c05d3d7afb828ab

Observation 50abc707-803e-41c1-95ee-52accf10ec3d · outbound

This paper cites An efficient procedure for solving a fuzzy relational equation with max– archimedean t-norm composition.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms An efficient procedure for solving a fuzzy relational equation with max– archimedean t-norm composition

Reference 49

Resolution
malformed identifier
no resolver link, observed 2026-08-12T15:56:10.033633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:10.033633Z digest=sha256:2c49491b640ecb938b93f4ac62761db6f038b9e6fb0d1f4aa236931f6aca80de

Observation 8da33263-6ce2-47e0-9224-14ad88773d39 · outbound

This paper cites Reducing the search space of a linear fractional programming problem under fuzzy relational equations with max-archimedean t-norm composition.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Reducing the search space of a linear fractional programming problem under fuzzy relational equations with max-archimedean t-norm composition

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:10.047584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:10.047584Z digest=sha256:ac490e50bfb2ddeb078f58ae9537a5d9f9eaaaaf8f11d8a7ca941035ef4d5149

Observation 7782390d-7832-4318-a8a6-b7cbac7ae262 · outbound

This paper cites Fuzzy relational equations on complete brouwerian lattices.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Fuzzy relational equations on complete brouwerian lattices

Reference 51

Resolution
verified exact
doi, observed 2026-08-12T15:56:10.284693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:10.060123Z digest=sha256:3a211b377b3d25c4cc9dbc1969394215d74818599b59050aeb1a830f3e0ec159

Observation cfecdd4f-eaf4-4aa9-8db1-471b0f2992b9 · outbound

This paper cites An algorithm for minimizing a linear objective function subject to the fuzzy relation inequalities with addition–min composition.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms An algorithm for minimizing a linear objective function subject to the fuzzy relation inequalities with addition–min composition

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:10.069541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:10.069541Z digest=sha256:1247b213a43ee577e9cbd735690a70d67fadd0cb9076e8c1a26ca1f248d7da6d

Observation ca506086-bcb4-43f7-8f81-d36d93b7b523 · outbound

This paper cites Resolution of bipolar fuzzy relation equations with max- lukasiewicz composition.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Resolution of bipolar fuzzy relation equations with max- lukasiewicz composition

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:10.081065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:10.081065Z digest=sha256:78f3929c4d9f8787f4c3d0c733c20b5cc5d2e32cfd06b6f960d509a3ff293838

Observation 16a89a40-7221-4fdc-8e4b-2dccda6877fd · outbound

This paper cites Latticized linear programming subject to max-product fuzzy relation inequalities with application in wireless communication.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Latticized linear programming subject to max-product fuzzy relation inequalities with application in wireless communication

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-12T15:56:10.091162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:56:10.091162Z digest=sha256:f9c3d6c11831dc39c17905ec7464d17b3c93399ac76e86d8d7c85cc428df9ebe

Observation fa52d988-42c0-40ef-8182-00e1119d67f8 · outbound

This paper cites Solving nonlinear optimization problems with bipolar fuzzy relational equation constraints.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Solving nonlinear optimization problems with bipolar fuzzy relational equation constraints

Reference 55

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T15:56:12.234110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:10.103975Z digest=sha256:a57dc7c4138a61709673980caed32adf588b6ae73c763bebfff759f71de5b9f1

Observation b2e78b5e-2a44-4cd5-a041-def955006af7 · outbound

This paper cites an unresolved cited work.

On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Unresolved cited work

Reference 2018

Resolution
verified exact
doi, observed 2026-08-12T15:56:11.140738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T15:56:09.683433Z digest=sha256:28b588c067511ae3b8931829d955a5c21e0071efe826414a96a6f20a79967139

Pith citing papers

No inbound Pith citation observations are available.