Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T15:56:10.103975Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T15:56:10.103975Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 444b5cbf-e93b-4359-8295-d27989b2f0e9 · outbound
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
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.
Observation ab01472c-1b7e-4f7c-a22c-5bc69bf4ec97 · outbound
On the nonlinear programming problems subject to a system of generalized bipolar fuzzy relational equalities defined with continuous t-norms Convex optimization
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a9991e7-73c5-4362-a6f5-e83371ffff22 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ceede5ad-5347-4fd5-9f5b-2322364ca2b7 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77e3cf0b-d2c0-44da-85cb-8aab7e9b8139 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84f4f1b5-6eed-4866-990c-0b11c05ba64d · outbound
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
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.
Observation c7b94f58-d5b6-454c-8296-d2e107ba2a62 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71efb40e-0f70-4190-bf3f-71c51b0f5310 · outbound
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
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.
Observation 728a41e7-0a62-4e47-8e8a-98c072bedfb3 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49894990-14a9-4ed0-9213-843804fceec9 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3f6a475-b456-4782-8c43-5e1ddb733810 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c80fb95-f881-42a1-9c4f-13a162f7fc82 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cf9ca6b5-913d-4799-af53-88978f48cf77 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 909ad851-91cf-4c0f-bf6e-16be37ab5dc8 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 745fb70c-72f7-44fe-bac2-7537d36a43b8 · outbound
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
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.
Observation 4d0a2dca-606d-4e44-8697-2f100dc0af58 · outbound
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
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.
Observation 3c469724-0eaa-403a-9988-3b42546d044f · outbound
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
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.
Observation 48fcdee7-0aad-4d24-824b-9146a87d9bae · outbound
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
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.
Observation 7af69df7-fa4c-49ac-bd35-0edca1f3d14b · outbound
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
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.
Observation 776570ef-61c8-45a7-9af5-01c1f6e2cd2a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 296f6fda-0644-4051-84de-4ac8ad33f6d2 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 63d5e400-b406-488c-bfdd-df5ae520be2e · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa8bed2e-8cd8-4340-b7c3-ce514d4f5ee3 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9c4d493-5b9b-43a9-b220-e7d8ec5bba7a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0ef9733-ff1a-4813-b555-cce351867a10 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd163007-cb63-447a-90fd-b53e0fd09659 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9049bf4c-7e8e-42c6-bd90-6dbd3297ec57 · outbound
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
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.
Observation 844272cf-15e3-499f-b39c-5d5d788ec82c · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbc44abc-cf76-412e-80d4-898ddd86799a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18a47b86-7f6c-476b-b209-2eac44f65db5 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1f932a4-e8e1-4785-817f-646d39649818 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a65d1e8e-2e61-4a60-921a-c367021ccac7 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 542a2d3d-8596-47b6-92a7-5377c57e700f · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c719937-ecfe-4f15-a811-332d56b0c174 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86072311-3977-4b5c-a784-aa3b5ec1b06b · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8582144c-2684-4e2c-9900-4cf7116c2e4e · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c805e477-1859-4cc7-a098-ad32898631ba · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 96c337dc-a088-4d6d-a226-319de8f06f8c · outbound
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
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.
Observation 7da63c5f-ef71-4992-a1f5-d67e4b516f73 · outbound
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
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.
Observation b477783f-5906-498b-9f6e-1b68782550d8 · outbound
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
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.
Observation a8c26687-83a6-4db2-be0a-0f93759d30a8 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c4a683a-8db4-45f2-b0f4-456ab3741107 · outbound
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
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.
Observation a7e78954-1c12-437e-b9b1-417f5fee42be · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77cea451-62d5-4ca5-8d33-701248d8dedf · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0999a55c-039d-49ac-bff5-60d4585e3614 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90535a11-4aff-4a8e-849a-02ebb5453d1a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b3ff934-de49-4868-ad35-5682c01062c9 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ec6e9e0-a4a6-459f-a0e6-ff65cb8a10fa · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 50abc707-803e-41c1-95ee-52accf10ec3d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8da33263-6ce2-47e0-9224-14ad88773d39 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7782390d-7832-4318-a8a6-b7cbac7ae262 · outbound
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
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.
Observation cfecdd4f-eaf4-4aa9-8db1-471b0f2992b9 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca506086-bcb4-43f7-8f81-d36d93b7b523 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16a89a40-7221-4fdc-8e4b-2dccda6877fd · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa52d988-42c0-40ef-8182-00e1119d67f8 · outbound
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
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.
Observation b2e78b5e-2a44-4cd5-a041-def955006af7 · outbound
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
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.
No inbound Pith citation observations are available.