{"id":"https://openalex.org/W2021289046","doi":"https://doi.org/10.1142/s0218488594000341","title":"SATURATEDNESS AND A HIERARCHY OF APPROXIMATE IDENTITIES","display_name":"SATURATEDNESS AND A HIERARCHY OF APPROXIMATE IDENTITIES","publication_year":1994,"publication_date":"1994-12-01","ids":{"openalex":"https://openalex.org/W2021289046","doi":"https://doi.org/10.1142/s0218488594000341","mag":"2021289046"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488594000341","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488594000341","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","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, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, India","institution_ids":["https://openalex.org/I106542073"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046102840","display_name":"Mohua Banerjee","orcid":"https://orcid.org/0000-0002-7517-0923"},"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":"MOHUA BANERJEE","raw_affiliation_strings":["Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, India","institution_ids":["https://openalex.org/I106542073"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I106542073"],"apc_list":null,"apc_paid":null,"fwci":0.4599,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61744756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"02","issue":"04","first_page":"429","last_page":"444"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9751999974250793,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9751999974250793,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9714000225067139,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9229999780654907,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/vagueness","display_name":"Vagueness","score":0.8671797513961792},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.7924736738204956},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.7270585298538208},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6533831357955933},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49308106303215027},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.4585843086242676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4500947594642639},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.3923764228820801},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.39210042357444763},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3366868495941162},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.333737313747406},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2514229118824005},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17921650409698486},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09726786613464355},{"id":"https://openalex.org/keywords/aesthetics","display_name":"Aesthetics","score":0.09436938166618347}],"concepts":[{"id":"https://openalex.org/C2776825360","wikidata":"https://www.wikidata.org/wiki/Q1411921","display_name":"Vagueness","level":3,"score":0.8671797513961792},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.7924736738204956},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.7270585298538208},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6533831357955933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49308106303215027},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.4585843086242676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4500947594642639},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3923764228820801},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.39210042357444763},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3366868495941162},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.333737313747406},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2514229118824005},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17921650409698486},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09726786613464355},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.09436938166618347},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488594000341","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488594000341","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2496023037","https://openalex.org/W2350451705","https://openalex.org/W4213284915","https://openalex.org/W4212798463","https://openalex.org/W2974127468","https://openalex.org/W2970991425","https://openalex.org/W2501465302","https://openalex.org/W2486940251","https://openalex.org/W3160820793","https://openalex.org/W2053375274"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"'identity'":[3,73],"is":[4,43,62],"eventually":[5],"considered":[6],"to":[7,33,81],"be":[8],"determined":[9],"by":[10,18],"a":[11,44],"specified":[12],"collection":[13,22],"of":[14,36,46,49,60,78,84],"'properties'":[15],"represented":[16],"extensionally":[17],"subsets.":[19],"Generally,":[20],"the":[21,34,71,79,82],"may":[23],"contain":[24],"fuzzy":[25],"subsets":[26],"representing":[27],"vague":[28],"properties,":[29],"thus":[30],"rendering":[31],"vagueness":[32],"concept":[35],"identity.":[37],"Saturatedness":[38],"condition,":[39],"which":[40],"in":[41,55,86],"essence":[42],"portion":[45],"Leibniz's":[47],"principle":[48],"identity,":[50],"has":[51],"been":[52,90],"dealt":[53],"with":[54],"some":[56,68],"detail.":[57],"A":[58],"hierarchy":[59,65],"identities":[61],"obtained.":[63],"This":[64],"also":[66],"indicates":[67],"relationship":[69],"between":[70],"concepts":[72],"and":[74],"'property'.":[75],"Some":[76],"applications":[77],"results":[80],"modelling":[83],"indistinguishability":[85],"information":[87],"systems":[88],"have":[89],"indicated.":[91]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
