{"id":"https://openalex.org/W791175502","doi":"https://doi.org/10.1007/978-3-662-43505-2_10","title":"Basics of Fuzzy Sets","display_name":"Basics of Fuzzy Sets","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W791175502","doi":"https://doi.org/10.1007/978-3-662-43505-2_10","mag":"791175502"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-43505-2_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-43505-2_10","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Handbook of Computational Intelligence","raw_type":"book-chapter"},"type":"book-chapter","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/A5067113365","display_name":"J\u00e1nos Fodor","orcid":"https://orcid.org/0000-0002-1638-7452"},"institutions":[{"id":"https://openalex.org/I103356709","display_name":"Obuda University","ror":"https://ror.org/00ax71d21","country_code":"HU","type":"education","lineage":["https://openalex.org/I103356709"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"J\u00e1nos C. Fodor","raw_affiliation_strings":["Dep. Applied Mathematics, \u00d3buda University, B\u00e9csi \u00fat 96/b, 1034, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. Applied Mathematics, \u00d3buda University, B\u00e9csi \u00fat 96/b, 1034, Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010869153","display_name":"Imre J. Rudas","orcid":"https://orcid.org/0000-0002-2067-8578"},"institutions":[{"id":"https://openalex.org/I103356709","display_name":"Obuda University","ror":"https://ror.org/00ax71d21","country_code":"HU","type":"education","lineage":["https://openalex.org/I103356709"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Imre J. Rudas","raw_affiliation_strings":["Dep. Applied Mathematics, \u00d3buda University, B\u00e9csi \u00fat 96/b, 1034, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. Applied Mathematics, \u00d3buda University, B\u00e9csi \u00fat 96/b, 1034, Budapest, Hungary","institution_ids":["https://openalex.org/I103356709"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I103356709"],"apc_list":null,"apc_paid":null,"fwci":1.8972,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.84808636,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"159","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9987000226974487,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9975000023841858,"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/unary-operation","display_name":"Unary operation","score":0.6605009436607361},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.6283080577850342},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5882503390312195},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5858559012413025},{"id":"https://openalex.org/keywords/unit-interval","display_name":"Unit interval","score":0.5686286687850952},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5512717962265015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5203325748443604},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5173227787017822},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5155701041221619},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5050199627876282},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.4968431293964386},{"id":"https://openalex.org/keywords/t-norm-fuzzy-logics","display_name":"T-norm fuzzy logics","score":0.4932810664176941},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40777021646499634},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37074074149131775},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.27851754426956177}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.6605009436607361},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.6283080577850342},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5882503390312195},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5858559012413025},{"id":"https://openalex.org/C128394911","wikidata":"https://www.wikidata.org/wiki/Q1987578","display_name":"Unit interval","level":2,"score":0.5686286687850952},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5512717962265015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5203325748443604},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5173227787017822},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5155701041221619},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5050199627876282},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.4968431293964386},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.4932810664176941},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40777021646499634},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37074074149131775},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27851754426956177}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-662-43505-2_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-43505-2_10","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Handbook of Computational Intelligence","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.8299999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W92944258","https://openalex.org/W294994052","https://openalex.org/W377680676","https://openalex.org/W382834063","https://openalex.org/W650250757","https://openalex.org/W1022258176","https://openalex.org/W1485625483","https://openalex.org/W1515119244","https://openalex.org/W1545067530","https://openalex.org/W1600267829","https://openalex.org/W1606108510","https://openalex.org/W1964679164","https://openalex.org/W1968172834","https://openalex.org/W1973711118","https://openalex.org/W1976520304","https://openalex.org/W1983700912","https://openalex.org/W1989277583","https://openalex.org/W1989704856","https://openalex.org/W1992064601","https://openalex.org/W1992369290","https://openalex.org/W1993221408","https://openalex.org/W1996340842","https://openalex.org/W2002138403","https://openalex.org/W2003074513","https://openalex.org/W2006025120","https://openalex.org/W2006263050","https://openalex.org/W2017695773","https://openalex.org/W2028540205","https://openalex.org/W2033702592","https://openalex.org/W2038675095","https://openalex.org/W2040350308","https://openalex.org/W2043951079","https://openalex.org/W2046335762","https://openalex.org/W2046845574","https://openalex.org/W2047649397","https://openalex.org/W2049301591","https://openalex.org/W2050971688","https://openalex.org/W2060878354","https://openalex.org/W2063974030","https://openalex.org/W2066218705","https://openalex.org/W2075090033","https://openalex.org/W2078824781","https://openalex.org/W2083464739","https://openalex.org/W2093698145","https://openalex.org/W2112660043","https://openalex.org/W2114065574","https://openalex.org/W2182875737","https://openalex.org/W2318244401","https://openalex.org/W2326267538","https://openalex.org/W2578456536","https://openalex.org/W2583696945","https://openalex.org/W2808650095","https://openalex.org/W3158113069","https://openalex.org/W3213572188","https://openalex.org/W4211007335","https://openalex.org/W4234672050","https://openalex.org/W4238189986","https://openalex.org/W4244684136","https://openalex.org/W4254994720","https://openalex.org/W4255969800","https://openalex.org/W4256284965","https://openalex.org/W4285719527","https://openalex.org/W6601308685"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W4361984403","https://openalex.org/W1485268022","https://openalex.org/W1487720066","https://openalex.org/W1975005191","https://openalex.org/W2781808531","https://openalex.org/W1486684451","https://openalex.org/W2166637398","https://openalex.org/W2287021682","https://openalex.org/W791175502"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
