{"id":"https://openalex.org/W4391346836","doi":"https://doi.org/10.3233/jifs-231401","title":"An extension of several properties for fuzzy t-norm and vague t-norm","display_name":"An extension of several properties for fuzzy t-norm and vague t-norm","publication_year":2024,"publication_date":"2024-01-30","ids":{"openalex":"https://openalex.org/W4391346836","doi":"https://doi.org/10.3233/jifs-231401"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-231401","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-231401","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 & 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/A5024002121","display_name":"Haohao Wang","orcid":"https://orcid.org/0000-0001-7942-5623"},"institutions":[{"id":"https://openalex.org/I89652312","display_name":"Northwest A&F University","ror":"https://ror.org/0051rme32","country_code":"CN","type":"education","lineage":["https://openalex.org/I89652312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haohao Wang","raw_affiliation_strings":["College of Science, Northwest A&F University, Yangling, PR China"],"affiliations":[{"raw_affiliation_string":"College of Science, Northwest A&F University, Yangling, PR China","institution_ids":["https://openalex.org/I89652312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100318387","display_name":"Wei Li","orcid":"https://orcid.org/0000-0003-1837-4759"},"institutions":[{"id":"https://openalex.org/I89652312","display_name":"Northwest A&F University","ror":"https://ror.org/0051rme32","country_code":"CN","type":"education","lineage":["https://openalex.org/I89652312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Li","raw_affiliation_strings":["College of Science, Northwest A&F University, Yangling, PR China"],"affiliations":[{"raw_affiliation_string":"College of Science, Northwest A&F University, Yangling, PR China","institution_ids":["https://openalex.org/I89652312"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078291766","display_name":"Bin Yang","orcid":"https://orcid.org/0000-0002-1707-5119"},"institutions":[{"id":"https://openalex.org/I89652312","display_name":"Northwest A&F University","ror":"https://ror.org/0051rme32","country_code":"CN","type":"education","lineage":["https://openalex.org/I89652312"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bin Yang","raw_affiliation_strings":["College of Science, Northwest A&F University, Yangling, PR China"],"affiliations":[{"raw_affiliation_string":"College of Science, Northwest A&F University, Yangling, PR China","institution_ids":["https://openalex.org/I89652312"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078291766"],"corresponding_institution_ids":["https://openalex.org/I89652312"],"apc_list":null,"apc_paid":null,"fwci":0.5173,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62722367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"46","issue":"3","first_page":"6881","last_page":"6891"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998000264167786,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998000264167786,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9980999827384949,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9965999722480774,"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/norm","display_name":"Norm (philosophy)","score":0.7284399271011353},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6882767081260681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6446409225463867},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5558192729949951},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.47558796405792236},{"id":"https://openalex.org/keywords/t-norm","display_name":"T-norm","score":0.45596522092819214},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3386550843715668},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3045567274093628},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.2898361086845398},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.13738331198692322},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09865796566009521},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.04730239510536194},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.04349586367607117}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.7284399271011353},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6882767081260681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6446409225463867},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5558192729949951},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47558796405792236},{"id":"https://openalex.org/C2721081","wikidata":"https://www.wikidata.org/wiki/Q2383161","display_name":"T-norm","level":5,"score":0.45596522092819214},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3386550843715668},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3045567274093628},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.2898361086845398},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.13738331198692322},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09865796566009521},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.04730239510536194},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.04349586367607117},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-231401","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-231401","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 & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W2040491528","https://openalex.org/W2043951079","https://openalex.org/W2064405981","https://openalex.org/W2075541500","https://openalex.org/W2106869653","https://openalex.org/W2114065574","https://openalex.org/W2264116381","https://openalex.org/W3135969796","https://openalex.org/W4210778630","https://openalex.org/W4211007335","https://openalex.org/W4213103183","https://openalex.org/W4248218792","https://openalex.org/W6692953955"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2082716031","https://openalex.org/W2370289839","https://openalex.org/W2933494595","https://openalex.org/W1568049691","https://openalex.org/W2103158372","https://openalex.org/W4311349482","https://openalex.org/W2023725141"],"abstract_inverted_index":{"Rosenfeld":[0],"defined":[1],"a":[2,6,10,28,31,35,70],"fuzzy":[3,11,32,36,44,65,76,97],"subgroup":[4],"of":[5,23,49,62,75,90],"given":[7],"group":[8,29],"as":[9],"subset":[12],"with":[13,51],"two":[14],"special":[15],"conditions":[16],"and":[17,34,46,73],"Mustafa":[18],"Demirci":[19],"proposed":[20],"the":[21,25,88],"idea":[22],"fuzzifying":[24],"operations":[26],"on":[27,43,87],"through":[30],"equality":[33],"equivalence":[37],"relation.":[38],"This":[39],"paper":[40],"mainly":[41],"focuses":[42],"subsets":[45],"vague":[47,91],"sets":[48],"monoids":[50],"several":[52],"extended":[53,100],"algebraic":[54,60],"properties.":[55],"Firstly,":[56],"we":[57,83],"generalize":[58],"some":[59],"properties":[61,89],"t-norms":[63,98],"to":[64,101],"t-norms,":[66,77],"this":[67],"allows":[68],"for":[69],"broader":[71],"analysis":[72],"classification":[74],"enabling":[78],"their":[79],"wider":[80],"application.":[81],"Furthermore,":[82],"explore":[84],"specific":[85],"research":[86],"t-norms.":[92],"Finally,":[93],"selected":[94],"conclusions":[95],"about":[96],"are":[99],"bounded":[102],"lattices.":[103]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}