{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EOS2J42JMOQMP55T7GL7PQSO6Z","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c816acec1fd16b64b8c1362ab159dbaf57ba3852f55cde5d49be86e102dc8e79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-07-05T14:05:29Z","title_canon_sha256":"9cbcf6b78e010ac5d0aa191874fcbbd54142f6252a258ea0d2e8bf3069fdec79"},"schema_version":"1.0","source":{"id":"1607.01254","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01254","created_at":"2026-05-18T00:56:04Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01254v4","created_at":"2026-05-18T00:56:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01254","created_at":"2026-05-18T00:56:04Z"},{"alias_kind":"pith_short_12","alias_value":"EOS2J42JMOQM","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EOS2J42JMOQMP55T","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EOS2J42J","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:6f2cb0e7e8d22a9f392ddd03fca30b2cce5f9ac7a82d7f64200caeddb63306ab","target":"graph","created_at":"2026-05-18T00:56:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we attempt to extend Multi Attributive Border Approximation area Comparison (MABAC) approach for multi-attribute decision making (MADM) problems based on type-2 fuzzy sets (IT2FSs). As a special case of IT2FSs interval type-2 trapezoidal fuzzy numbers (IT2TrFNs) are adopted here to deal with uncertainties present in many practical evaluation and selection problems. A systematic description of MABAC based on IT2TrFNs is presented in the current study. The validity and feasibility of the proposed method are illustrated by a practical example of selecting the most suitable candidat","authors_text":"Ananta Ranjan, Animesh Debnath, Jagannath Roy, Samarjit Kar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-07-05T14:05:29Z","title":"An extended MABAC for multi-attribute decision making using trapezoidal interval type-2 fuzzy numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01254","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7ecda0cd2538561a3280010d07e1a5d83051982d1fd82b55d348a5600ec57a4a","target":"record","created_at":"2026-05-18T00:56:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c816acec1fd16b64b8c1362ab159dbaf57ba3852f55cde5d49be86e102dc8e79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-07-05T14:05:29Z","title_canon_sha256":"9cbcf6b78e010ac5d0aa191874fcbbd54142f6252a258ea0d2e8bf3069fdec79"},"schema_version":"1.0","source":{"id":"1607.01254","kind":"arxiv","version":4}},"canonical_sha256":"23a5a4f34963a0c7f7b3f997f7c24ef66a8294786f0e482840119cc74eaf5a62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23a5a4f34963a0c7f7b3f997f7c24ef66a8294786f0e482840119cc74eaf5a62","first_computed_at":"2026-05-18T00:56:04.196349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:04.196349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7E36vFRs4SBWVgHyepp+TRrzuh8IGn3EUGmjVqK7/EuwVMsHpIBoibTOcNR1KyGm44O9+Uq0JKpGE/nRiG64AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:04.196889Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01254","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ecda0cd2538561a3280010d07e1a5d83051982d1fd82b55d348a5600ec57a4a","sha256:6f2cb0e7e8d22a9f392ddd03fca30b2cce5f9ac7a82d7f64200caeddb63306ab"],"state_sha256":"c73391676674e2d48fa7fa16eef916ced98b7a9204c45ea951c3941aed0cdb32"}