{"id":"https://openalex.org/W2984196266","doi":"https://doi.org/10.3233/jifs-190400","title":"Noncommutative symmetric difference operators for fuzzy logic","display_name":"Noncommutative symmetric difference operators for fuzzy logic","publication_year":2019,"publication_date":"2019-11-08","ids":{"openalex":"https://openalex.org/W2984196266","doi":"https://doi.org/10.3233/jifs-190400","mag":"2984196266"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-190400","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-190400","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy 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/A5075966898","display_name":"Songsong Dai","orcid":"https://orcid.org/0000-0003-2283-9459"},"institutions":[{"id":"https://openalex.org/I82760581","display_name":"Taizhou University","ror":"https://ror.org/04fzhyx73","country_code":"CN","type":"education","lineage":["https://openalex.org/I82760581"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Songsong Dai","raw_affiliation_strings":["School of Electronics and Information Engineering, Taizhou University, Taizhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering, Taizhou University, Taizhou, China","institution_ids":["https://openalex.org/I82760581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082203192","display_name":"Wen-Tao Cheng","orcid":"https://orcid.org/0000-0001-9199-0502"},"institutions":[{"id":"https://openalex.org/I46482218","display_name":"Anqing Normal University","ror":"https://ror.org/0127ytz78","country_code":"CN","type":"education","lineage":["https://openalex.org/I46482218"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wentao Cheng","raw_affiliation_strings":["School of Mathematics and Computation Science, Anqing Normal University, Anqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computation Science, Anqing Normal University, Anqing, China","institution_ids":["https://openalex.org/I46482218"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082203192"],"corresponding_institution_ids":["https://openalex.org/I46482218"],"apc_list":null,"apc_paid":null,"fwci":0.1928,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56336077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"37","issue":"6","first_page":"8005","last_page":"8013"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9926000237464905,"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":0.9926000237464905,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9916999936103821,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9889000058174133,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.9776170253753662},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6982603073120117},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6230546236038208},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6196117401123047},{"id":"https://openalex.org/keywords/noncommutative-algebraic-geometry","display_name":"Noncommutative algebraic geometry","score":0.5375568270683289},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5226806998252869},{"id":"https://openalex.org/keywords/noncommutative-quantum-field-theory","display_name":"Noncommutative quantum field theory","score":0.49519291520118713},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4748956263065338},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21605727076530457},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10119184851646423}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.9776170253753662},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6982603073120117},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6230546236038208},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6196117401123047},{"id":"https://openalex.org/C193645952","wikidata":"https://www.wikidata.org/wiki/Q7049219","display_name":"Noncommutative algebraic geometry","level":4,"score":0.5375568270683289},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5226806998252869},{"id":"https://openalex.org/C29384965","wikidata":"https://www.wikidata.org/wiki/Q7049223","display_name":"Noncommutative quantum field theory","level":3,"score":0.49519291520118713},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4748956263065338},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21605727076530457},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10119184851646423},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-190400","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-190400","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W30901734","https://openalex.org/W1963509611","https://openalex.org/W1976537120","https://openalex.org/W1978583915","https://openalex.org/W1997230328","https://openalex.org/W2007074972","https://openalex.org/W2043630998","https://openalex.org/W2058739676","https://openalex.org/W2059287801","https://openalex.org/W2066661520","https://openalex.org/W2066947476","https://openalex.org/W2076562295","https://openalex.org/W2110182592","https://openalex.org/W2141755336","https://openalex.org/W2199450188","https://openalex.org/W2394793857","https://openalex.org/W2761761033","https://openalex.org/W2896017664","https://openalex.org/W2901011786","https://openalex.org/W2901776415","https://openalex.org/W2949066164","https://openalex.org/W3099829848","https://openalex.org/W4233941962","https://openalex.org/W4234672050"],"related_works":["https://openalex.org/W3104913165","https://openalex.org/W28407901","https://openalex.org/W2161879643","https://openalex.org/W2409441071","https://openalex.org/W2964013743","https://openalex.org/W1499695974","https://openalex.org/W4297813810","https://openalex.org/W4298173376","https://openalex.org/W2095993148","https://openalex.org/W1918348929"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"noncommutative":[3,29],"symmetric":[4,30],"difference":[5],"operators":[6,15],"for":[7],"fuzzy":[8],"logics.":[9],"Structures":[10],"and":[11,20],"properties":[12],"of":[13],"these":[14],"are":[16,22],"investigated.":[17],"Finally,":[18],"pseudo-quasi-metric":[19],"pseudo-metric":[21],"constructed":[23],"on":[24,27],"[0,1]":[25],"based":[26],"the":[28],"differences.":[31]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
