{"id":"https://openalex.org/W2030153666","doi":"https://doi.org/10.1080/11663081.1996.10510877","title":"On representation of indeterminate identity via vague concepts","display_name":"On representation of indeterminate identity via vague concepts","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2030153666","doi":"https://doi.org/10.1080/11663081.1996.10510877","mag":"2030153666"},"language":"en","primary_location":{"id":"doi:10.1080/11663081.1996.10510877","is_oa":false,"landing_page_url":"https://doi.org/10.1080/11663081.1996.10510877","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086453751","display_name":"M.K. Chakraborty","orcid":"https://orcid.org/0009-0006-3654-2698"},"institutions":[{"id":"https://openalex.org/I106542073","display_name":"University of Calcutta","ror":"https://ror.org/01e7v7w47","country_code":"IN","type":"education","lineage":["https://openalex.org/I106542073"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. K. Chakraborty","raw_affiliation_strings":["Department of pure mathematics, Calcutta university","Department of pure mathematics , Calcutta university"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of pure mathematics, Calcutta university","institution_ids":["https://openalex.org/I106542073"]},{"raw_affiliation_string":"Department of pure mathematics , Calcutta university","institution_ids":["https://openalex.org/I106542073"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063622872","display_name":"Amitava Chatterjee","orcid":"https://orcid.org/0000-0002-2577-8930"},"institutions":[{"id":"https://openalex.org/I170979836","display_name":"Jadavpur University","ror":"https://ror.org/02af4h012","country_code":"IN","type":"education","lineage":["https://openalex.org/I170979836"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. Chatterjee","raw_affiliation_strings":["Department of philosophy, Jadavpur university","Department of philosophy , Jadavpur university"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of philosophy, Jadavpur university","institution_ids":["https://openalex.org/I170979836"]},{"raw_affiliation_string":"Department of philosophy , Jadavpur university","institution_ids":["https://openalex.org/I170979836"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17848101,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"2","first_page":"191","last_page":"201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/indeterminate","display_name":"Indeterminate","score":0.7637757062911987},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6452517509460449},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.6163893938064575},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5993951559066772},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5544916391372681},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5360202193260193},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.5196165442466736},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4875015914440155},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.46719786524772644},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.44069233536720276},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3794845938682556},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.3586046099662781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3188993036746979},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30240216851234436},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.28368622064590454},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2785184979438782},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.14458531141281128},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0700027346611023}],"concepts":[{"id":"https://openalex.org/C94624232","wikidata":"https://www.wikidata.org/wiki/Q3150667","display_name":"Indeterminate","level":2,"score":0.7637757062911987},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6452517509460449},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6163893938064575},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5993951559066772},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5544916391372681},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5360202193260193},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.5196165442466736},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4875015914440155},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.46719786524772644},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.44069233536720276},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3794845938682556},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3586046099662781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3188993036746979},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30240216851234436},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28368622064590454},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2785184979438782},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.14458531141281128},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0700027346611023},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/11663081.1996.10510877","is_oa":false,"landing_page_url":"https://doi.org/10.1080/11663081.1996.10510877","pdf_url":null,"source":{"id":"https://openalex.org/S93822064","display_name":"Journal of Applied Non-Classical Logics","issn_l":"1166-3081","issn":["1166-3081","1958-5780"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Non-Classical Logics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W146838042","https://openalex.org/W993373321","https://openalex.org/W1037306753","https://openalex.org/W1481886395","https://openalex.org/W1488086872","https://openalex.org/W1516748551","https://openalex.org/W1975755939","https://openalex.org/W2019529630","https://openalex.org/W2092180595","https://openalex.org/W2108131405","https://openalex.org/W2317097801","https://openalex.org/W2330022088","https://openalex.org/W2511932998","https://openalex.org/W3022345620","https://openalex.org/W4230229803"],"related_works":["https://openalex.org/W2128679611","https://openalex.org/W2367457082","https://openalex.org/W2070503373","https://openalex.org/W332284284","https://openalex.org/W2381043244","https://openalex.org/W2318651310","https://openalex.org/W2499765358","https://openalex.org/W2349728712","https://openalex.org/W2980438719","https://openalex.org/W2148887744"],"abstract_inverted_index":{"Vague":[0],"concepts":[1],"are":[2],"represented":[3],"by":[4],"L-fuzzy":[5],"sets.":[6],"It":[7],"is":[8,21,39,52],"argued":[9],"that":[10],"any":[11],"vague":[12],"concept":[13],"carries":[14],"with":[15],"it":[16],"an":[17],"approximate":[18],"identity":[19],"which":[20,38],"a":[22],"fuzzy":[23],"equivalence":[24],"relation.":[25],"The":[26],"relation":[27],"also":[28],"fulfills":[29],"the":[30],"criterion":[31],"of":[32,35],"\u226a":[33,41],"indiscernibility":[34],"Identicals":[36],"\u226b,":[37],"called":[40],"saturatedness":[42],"\u226b":[43],"in":[44,49],"this":[45],"context.":[46],"An":[47],"application":[48],"knowledge":[50],"representation":[51],"indicated.":[53]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}