{"id":"https://openalex.org/W2113208041","doi":"https://doi.org/10.1109/fuzz.2001.1008859","title":"Logical foundations for constraints on fuzzy sets in soft computing: MV-partitions and refinement","display_name":"Logical foundations for constraints on fuzzy sets in soft computing: MV-partitions and refinement","publication_year":2002,"publication_date":"2002-11-14","ids":{"openalex":"https://openalex.org/W2113208041","doi":"https://doi.org/10.1109/fuzz.2001.1008859","mag":"2113208041"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2001.1008859","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1008859","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","raw_type":"proceedings-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/A5078459117","display_name":"P. Amato","orcid":"https://orcid.org/0000-0002-9601-1462"},"institutions":[{"id":"https://openalex.org/I4210154781","display_name":"STMicroelectronics (Italy)","ror":"https://ror.org/053bqv655","country_code":"IT","type":"company","lineage":["https://openalex.org/I131827901","https://openalex.org/I4210154781"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"P. Amato","raw_affiliation_strings":["STMicroelectronics, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"STMicroelectronics, Milan, Italy","institution_ids":["https://openalex.org/I4210154781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089745051","display_name":"Corrado Manara","orcid":null},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]},{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"C. Manara","raw_affiliation_strings":["Dipartimento di Scienze dellInformazione, University#x00E0; degli Studi di Milano-Bicocca, Milan, Italy","Dipartimento di Scienze dellInformazione, University#x00E0","degli Studi di Milano-Bicocca, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dellInformazione, University#x00E0; degli Studi di Milano-Bicocca, Milan, Italy","institution_ids":["https://openalex.org/I189158943","https://openalex.org/I66752286"]},{"raw_affiliation_string":"Dipartimento di Scienze dellInformazione, University#x00E0","institution_ids":[]},{"raw_affiliation_string":"degli Studi di Milano-Bicocca, Milan, Italy","institution_ids":["https://openalex.org/I66752286"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025885217","display_name":"D. Porto","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154781","display_name":"STMicroelectronics (Italy)","ror":"https://ror.org/053bqv655","country_code":"IT","type":"company","lineage":["https://openalex.org/I131827901","https://openalex.org/I4210154781"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"D. Porto","raw_affiliation_strings":["STMicroelectronics, Catania, Italy"],"affiliations":[{"raw_affiliation_string":"STMicroelectronics, Catania, Italy","institution_ids":["https://openalex.org/I4210154781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078459117"],"corresponding_institution_ids":["https://openalex.org/I4210154781"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17588778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1152","last_page":"1155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994000196456909,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9994000196456909,"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":0.9976999759674072,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9898999929428101,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.6615571975708008},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5968074798583984},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5775933265686035},{"id":"https://openalex.org/keywords/soft-computing","display_name":"Soft computing","score":0.490835964679718},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4836248457431793},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.47726744413375854},{"id":"https://openalex.org/keywords/theory","display_name":"Theory","score":0.4344538152217865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3777206540107727},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36156487464904785},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32207438349723816},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23180708289146423},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1879664659500122},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07857093214988708}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6615571975708008},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5968074798583984},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5775933265686035},{"id":"https://openalex.org/C140073362","wikidata":"https://www.wikidata.org/wiki/Q738759","display_name":"Soft computing","level":3,"score":0.490835964679718},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4836248457431793},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.47726744413375854},{"id":"https://openalex.org/C144701195","wikidata":"https://www.wikidata.org/wiki/Q10859910","display_name":"Theory","level":2,"score":0.4344538152217865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3777206540107727},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36156487464904785},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32207438349723816},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23180708289146423},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1879664659500122},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07857093214988708},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz.2001.1008859","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1008859","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5699999928474426,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1566552629","https://openalex.org/W1981882527","https://openalex.org/W1984314602","https://openalex.org/W1995365592","https://openalex.org/W1998488652","https://openalex.org/W2016879233","https://openalex.org/W2040810017","https://openalex.org/W2047777882","https://openalex.org/W2056021265","https://openalex.org/W2120845436","https://openalex.org/W2128069141","https://openalex.org/W2131256974","https://openalex.org/W2145479133","https://openalex.org/W2153676086","https://openalex.org/W2157041604","https://openalex.org/W2165445420","https://openalex.org/W2579555219","https://openalex.org/W4245152641"],"related_works":["https://openalex.org/W4377700919","https://openalex.org/W2095509376","https://openalex.org/W2533491448","https://openalex.org/W4213425153","https://openalex.org/W2987481998","https://openalex.org/W2378190508","https://openalex.org/W1979784720","https://openalex.org/W1536111040","https://openalex.org/W4210286260","https://openalex.org/W2779689031"],"abstract_inverted_index":{"Although":[0],"many":[1],"authors":[2],"have":[3],"proposed":[4],"constraints":[5,17,40],"on":[6],"membership":[7],"functions":[8],"for":[9],"automatic":[10],"optimization":[11],"processes,":[12],"formal":[13],"definitions":[14],"of":[15,26,44,53,55],"these":[16,39],"are":[18],"usually":[19],"not":[20],"well":[21],"connected":[22],"with":[23],"the":[24,42,51],"theory":[25,43],"partitions":[27,45],"in":[28,46],"many-valued":[29],"and":[30,48],"fuzzy":[31],"logic.":[32],"Our":[33],"aim":[34],"here":[35],"is":[36],"to":[37,49],"derive":[38],"from":[41],"MV-logic,":[47],"analyze":[50],"concept":[52],"refinement":[54],"a":[56],"partition.":[57]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}