{"id":"https://openalex.org/W1966005134","doi":"https://doi.org/10.1109/ifsa-nafips.2013.6608577","title":"Why complex-valued fuzzy? Why complex values in general? A computational explanation","display_name":"Why complex-valued fuzzy? Why complex values in general? A computational explanation","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W1966005134","doi":"https://doi.org/10.1109/ifsa-nafips.2013.6608577","mag":"1966005134"},"language":"en","primary_location":{"id":"doi:10.1109/ifsa-nafips.2013.6608577","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ifsa-nafips.2013.6608577","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS)","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/A5075920182","display_name":"Olga Kosheleva","orcid":"https://orcid.org/0000-0003-2587-4209"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Olga Kosheleva","raw_affiliation_strings":["University of Texas at El Paso, El Paso, TX, USA","University of Texas at El Paso, El Paso, TX, USA,"],"affiliations":[{"raw_affiliation_string":"University of Texas at El Paso, El Paso, TX, USA","institution_ids":["https://openalex.org/I164936912"]},{"raw_affiliation_string":"University of Texas at El Paso, El Paso, TX, USA,","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061275811","display_name":"\u0412\u043b\u0430\u0434\u0438\u043a \u041a\u0440\u0435\u0439\u043d\u043e\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-1244-1650"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vladik Kreinovich","raw_affiliation_strings":["University of Texas at El Paso, El Paso, TX, USA","University of Texas at El Paso, El Paso, TX, USA,"],"affiliations":[{"raw_affiliation_string":"University of Texas at El Paso, El Paso, TX, USA","institution_ids":["https://openalex.org/I164936912"]},{"raw_affiliation_string":"University of Texas at El Paso, El Paso, TX, USA,","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006051465","display_name":"Thavatchai Ngamsantivong","orcid":null},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Thavatchai Ngamsantivong","raw_affiliation_strings":["Computer and Information Science, Faculty of Applied Sciences, King Mongkut's University of Technology North Bangkok, Bangkok, Thailand","Comput. & Inf. Sci., King Mongkut's Univ. of Technol. North Bangkok, Bangkok, Thailand"],"affiliations":[{"raw_affiliation_string":"Computer and Information Science, Faculty of Applied Sciences, King Mongkut's University of Technology North Bangkok, Bangkok, Thailand","institution_ids":["https://openalex.org/I82828225"]},{"raw_affiliation_string":"Comput. & Inf. Sci., King Mongkut's Univ. of Technol. North Bangkok, Bangkok, Thailand","institution_ids":["https://openalex.org/I82828225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075920182"],"corresponding_institution_ids":["https://openalex.org/I164936912"],"apc_list":null,"apc_paid":null,"fwci":1.4827,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85296154,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1233","last_page":"1236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9926000237464905,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9926000237464905,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9689000248908997,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9569000005722046,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.6151987314224243},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.5916886925697327},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5745222568511963},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.569346010684967},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5657455921173096},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5370961427688599},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5321444869041443},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4991118907928467},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48466756939888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.434626966714859},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43224477767944336},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.4269430637359619},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35474255681037903},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2959233522415161}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6151987314224243},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.5916886925697327},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5745222568511963},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.569346010684967},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5657455921173096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5370961427688599},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5321444869041443},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4991118907928467},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48466756939888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.434626966714859},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43224477767944336},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4269430637359619},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35474255681037903},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2959233522415161},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/ifsa-nafips.2013.6608577","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ifsa-nafips.2013.6608577","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS)","raw_type":"proceedings-article"},{"id":"pmh:oai:digitalcommons.utep.edu:cs_techrep-1745","is_oa":false,"landing_page_url":"https://digitalcommons.utep.edu/cs_techrep/744","pdf_url":null,"source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"},{"id":"pmh:oai:scholarworks.utep.edu:cs_techrep-1745","is_oa":false,"landing_page_url":"https://scholarworks.utep.edu/cs_techrep/744","pdf_url":null,"source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.297.7013","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.297.7013","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.utep.edu/vladik/2013/tr13-09a.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.298.7426","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.7426","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.utep.edu/vladik/2013/tr13-09.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.899.3433","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.899.3433","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://digitalcommons.utep.edu/cgi/viewcontent.cgi?article%3D1745%26context%3Dcs_techrep","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1545819195","https://openalex.org/W1594563152","https://openalex.org/W1752840555","https://openalex.org/W2006786362","https://openalex.org/W2009101180","https://openalex.org/W2057066113","https://openalex.org/W2095258337","https://openalex.org/W2123556843","https://openalex.org/W2152743610","https://openalex.org/W2159489157","https://openalex.org/W2496338429","https://openalex.org/W2912565176","https://openalex.org/W3145128584","https://openalex.org/W4211007335","https://openalex.org/W4231983618","https://openalex.org/W4242608229","https://openalex.org/W4246219036","https://openalex.org/W4300917724","https://openalex.org/W6637993722"],"related_works":["https://openalex.org/W2614887008","https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W4206081075","https://openalex.org/W2121560876","https://openalex.org/W2211233","https://openalex.org/W2331106272","https://openalex.org/W1486684451","https://openalex.org/W4361984403","https://openalex.org/W4361273540"],"abstract_inverted_index":{"In":[0,18,96],"the":[1,14,39,49,115],"traditional":[2],"fuzzy":[3,55,65],"logic,":[4],"as":[5],"truth":[6],"values,":[7],"we":[8,99,112],"take":[9],"all":[10],"real":[11,46],"numbers":[12,47,121,139],"from":[13,103],"interval":[15],"[0;":[16],"1].":[17],"some":[19],"situations,":[20],"this":[21,97,109],"set":[22,35,50],"is":[23,36,48,122],"not":[24,84],"fully":[25],"adequate":[26],"for":[27,126],"describing":[28],"expert":[29],"uncertainty,":[30],"so":[31,94,141],"a":[32,42,73,88,123],"more":[33],"general":[34],"needed.":[37],"From":[38],"mathematical":[40],"viewpoint,":[41],"natural":[43],"extension":[44],"of":[45,51,64,79,105],"complex":[52,120,138],"numbers.":[53],"Complex-valued":[54],"sets":[56],"have":[57,87,92],"indeed":[58],"been":[59,93],"successfully":[60],"used":[61,143],"in":[62,146,148],"applications":[63],"techniques.":[66],"This":[67,132],"practical":[68],"success":[69],"leaves":[70],"us":[71],"with":[72],"puzzling":[74],"question:":[75],"why":[76,137],"complex-valued":[77],"degree":[78],"belief,":[80],"degrees":[81],"which":[82],"do":[83],"seem":[85],"to":[86,107,117,119,129],"direct":[89],"intuitive":[90],"meaning,":[91],"successful?":[95],"paper,":[98],"use":[100],"latest":[101],"results":[102],"theory":[104],"computation":[106],"explain":[108],"puzzle.":[110],"Namely,":[111],"show":[113],"that":[114],"possibility":[116],"extend":[118],"necessary":[124],"condition":[125],"fuzzy-related":[127],"computations":[128],"be":[130],"feasible.":[131],"computational":[133],"result":[134],"also":[135],"explains":[136],"are":[140],"efficiently":[142],"beyond":[144],"fuzzy,":[145],"physics,":[147],"control,":[149],"etc.":[150]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
