{"id":"https://openalex.org/W2791883273","doi":"https://doi.org/10.1142/s1793005718500126","title":"Generalized Fuzzy Relations","display_name":"Generalized Fuzzy Relations","publication_year":2018,"publication_date":"2018-03-14","ids":{"openalex":"https://openalex.org/W2791883273","doi":"https://doi.org/10.1142/s1793005718500126","mag":"2791883273"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005718500126","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005718500126","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","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/A5020620391","display_name":"John N. Mordeson","orcid":"https://orcid.org/0000-0001-5808-0793"},"institutions":[{"id":"https://openalex.org/I114493937","display_name":"Creighton University","ror":"https://ror.org/05wf30g94","country_code":"US","type":"education","lineage":["https://openalex.org/I114493937"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John N. Mordeson","raw_affiliation_strings":["Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA","institution_ids":["https://openalex.org/I114493937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084187981","display_name":"Sunil Mathew","orcid":"https://orcid.org/0000-0001-8478-9245"},"institutions":[{"id":"https://openalex.org/I114845381","display_name":"National Institute of Technology Calicut","ror":"https://ror.org/03yyd7552","country_code":"IN","type":"education","lineage":["https://openalex.org/I114845381"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sunil Mathew","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Calicut, Kerala 673601, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Calicut, Kerala 673601, India","institution_ids":["https://openalex.org/I114845381"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112778367","display_name":"Davender S. Malik","orcid":null},"institutions":[{"id":"https://openalex.org/I114493937","display_name":"Creighton University","ror":"https://ror.org/05wf30g94","country_code":"US","type":"education","lineage":["https://openalex.org/I114493937"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Davender S. Malik","raw_affiliation_strings":["Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA","institution_ids":["https://openalex.org/I114493937"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6369,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.72335386,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"14","issue":"02","first_page":"187","last_page":"202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9884999990463257,"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"}},{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9707000255584717,"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/mathematics","display_name":"Mathematics","score":0.6840735673904419},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6380665302276611},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.5846477746963501},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5528395771980286},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.5345866680145264},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5178406834602356},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.48943033814430237},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.48874425888061523},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47076940536499023},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4231870472431183},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.4197889566421509},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.4118425250053406},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38717272877693176},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2814704179763794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25933438539505005},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2053159475326538},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1515388786792755}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6840735673904419},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6380665302276611},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.5846477746963501},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5528395771980286},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.5345866680145264},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5178406834602356},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.48943033814430237},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.48874425888061523},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47076940536499023},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4231870472431183},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4197889566421509},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.4118425250053406},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38717272877693176},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2814704179763794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25933438539505005},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2053159475326538},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1515388786792755}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005718500126","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005718500126","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:14:y:2018:i:02:n:s1793005718500126","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005718500126","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Gender equality","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/5"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W113494934","https://openalex.org/W385768022","https://openalex.org/W1496156369","https://openalex.org/W1565315122","https://openalex.org/W2019529630","https://openalex.org/W2039536988","https://openalex.org/W2085238338","https://openalex.org/W2489172749","https://openalex.org/W2564720505","https://openalex.org/W2790703652","https://openalex.org/W2792624398","https://openalex.org/W4210333876","https://openalex.org/W4210377039","https://openalex.org/W4211007335","https://openalex.org/W4214544219","https://openalex.org/W4232170606","https://openalex.org/W4245152641"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W2674573885","https://openalex.org/W1485268022","https://openalex.org/W1975005191","https://openalex.org/W4361984403","https://openalex.org/W1487720066","https://openalex.org/W139981661","https://openalex.org/W2037428035","https://openalex.org/W1489009679","https://openalex.org/W2048452567"],"abstract_inverted_index":{"Fuzzy":[0],"relations":[1,18,54,91],"are":[2,25,75,92],"fundamental":[3],"in":[4,40],"applications":[5],"of":[6,43,45,65],"fuzzy":[7,11,17,22,46,53,90],"set":[8],"theory":[9,24],"and":[10,33,38,60,73,81,87,95,101],"logic.":[12],"The":[13],"entire":[14],"literature":[15],"on":[16,27],"as":[19,35],"applied":[20],"to":[21,98],"graph":[23],"based":[26],"Rosenfeld\u2019s":[28],"relations.":[29,47],"Rosenfeld":[30],"used":[31],"minimum":[32,72],"maximum":[34,74],"the":[36,66],"norm":[37,80],"conorm":[39],"his":[41],"study":[42],"compositions":[44],"In":[48],"this":[49],"paper,":[50],"we":[51],"generalize":[52],"using":[55],"arbitrary":[56,79,83],"[Formula:":[57,61],"see":[58,62],"text]-norms":[59],"text]-conorms.":[63],"Many":[64],"results":[67],"do":[68],"not":[69],"hold":[70],"when":[71],"replaced":[76],"by":[77],"an":[78,82,96],"conorm.":[84],"Reflexive,":[85],"symmetric":[86],"transitive":[88],"generalized":[89],"also":[93],"discussed":[94],"application":[97],"human":[99],"trafficking":[100],"illegal":[102],"immigration":[103],"is":[104],"presented.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
