{"id":"https://openalex.org/W2169530109","doi":"https://doi.org/10.1109/fuzz.2001.1008861","title":"On complex fuzzy sets","display_name":"On complex fuzzy sets","publication_year":2002,"publication_date":"2002-11-14","ids":{"openalex":"https://openalex.org/W2169530109","doi":"https://doi.org/10.1109/fuzz.2001.1008861","mag":"2169530109"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2001.1008861","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1008861","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/A5008410588","display_name":"D. Ramot","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"D. Ramot","raw_affiliation_strings":["Department of Electrical Engineering, Tel-Aviv University, Tel-Aviv, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111529075","display_name":"M. Friedman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Friedman","raw_affiliation_strings":["Physics Department, NRCN, Israel"],"affiliations":[{"raw_affiliation_string":"Physics Department, NRCN, Israel","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109085714","display_name":"G. Langholz","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"G. Langholz","raw_affiliation_strings":["Department of Electrical Engineering, Tel-Aviv University, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tel-Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067175080","display_name":"Ron Milo","orcid":"https://orcid.org/0000-0001-8556-2579"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"R. Milo","raw_affiliation_strings":["Department of Electrical Engineering, Tel-Aviv University, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tel-Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108196712","display_name":"Abraham Kandel","orcid":"https://orcid.org/0009-0002-9276-6566"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Kandel","raw_affiliation_strings":["Computer Science and Engineering Department, University of South Florida, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering Department, University of South Florida, USA","institution_ids":["https://openalex.org/I2613432"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5008410588"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.3699,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65669399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"1160","last_page":"1163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9958000183105469,"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":0.9947999715805054,"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/membership-function","display_name":"Membership function","score":0.7146381139755249},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6946526765823364},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.615630030632019},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.605501115322113},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5654128789901733},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5471405982971191},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.54283607006073},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5100288987159729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.50590580701828},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.5034191012382507},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4981424808502197},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47802647948265076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45557066798210144},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4170159697532654},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.41142284870147705},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40379852056503296},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06966105103492737}],"concepts":[{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.7146381139755249},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6946526765823364},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.615630030632019},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.605501115322113},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5654128789901733},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5471405982971191},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.54283607006073},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5100288987159729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.50590580701828},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.5034191012382507},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4981424808502197},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47802647948265076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45557066798210144},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4170159697532654},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.41142284870147705},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40379852056503296},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06966105103492737},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz.2001.1008861","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1008861","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1968172834","https://openalex.org/W1995589510","https://openalex.org/W2011023980","https://openalex.org/W2026169174","https://openalex.org/W2049193003","https://openalex.org/W2080126541","https://openalex.org/W2096768134","https://openalex.org/W2097403045","https://openalex.org/W2169530109","https://openalex.org/W2330034488","https://openalex.org/W2496352033","https://openalex.org/W2578456536","https://openalex.org/W2912565176","https://openalex.org/W4205471131","https://openalex.org/W4211007335","https://openalex.org/W4214831569","https://openalex.org/W6652851693"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W1487720066","https://openalex.org/W2781808531","https://openalex.org/W4361984403","https://openalex.org/W1975005191","https://openalex.org/W3186561448","https://openalex.org/W2145270521","https://openalex.org/W2791187250","https://openalex.org/W2066929655","https://openalex.org/W2890798884"],"abstract_inverted_index":{"The":[0,9],"innovative":[1],"concept":[2,78],"of":[3,11,20,69,75,83],"complex":[4,13,50,54,71],"fuzzy":[5,14,32,55],"sets":[6],"is":[7,37,79],"introduced.":[8],"novelty":[10],"the":[12,18,45,49,53,88],"set":[15,56,66],"lies":[16],"in":[17,48,64,67],"range":[19,36],"values":[21],"its":[22],"membership":[23,33,63],"function":[24],"may":[25],"attain.":[26],"In":[27],"contrast":[28],"to":[29,40,44],"a":[30,58,65,70],"traditional":[31],"function,":[34],"this":[35,76],"not":[38],"limited":[39],"[0,1]":[41],"but":[42],"extended":[43],"unit":[46],"circle":[47],"plane.":[51],"Thus,":[52],"provides":[57],"mathematical":[59],"framework":[60],"for":[61],"describing":[62],"terms":[68],"number.":[72],"A":[73],"study":[74],"original":[77],"presented,":[80],"including":[81],"examples":[82],"possible":[84],"applications,":[85],"which":[86],"demonstrate":[87],"new":[89],"theory.":[90]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}