{"id":"https://openalex.org/W2063618706","doi":"https://doi.org/10.1109/tfuzz.2013.2287028","title":"On Advanced Computing With Words Using the Generalized Extension Principle for Type-1 Fuzzy Sets","display_name":"On Advanced Computing With Words Using the Generalized Extension Principle for Type-1 Fuzzy Sets","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W2063618706","doi":"https://doi.org/10.1109/tfuzz.2013.2287028","mag":"2063618706"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2013.2287028","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2013.2287028","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on 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/A5108646315","display_name":"Mohammad Reza Rajati","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mohammad Reza Rajati","raw_affiliation_strings":["Ming Hsieh Department of Electrical Engineering, Signal, University of Southern California, Los Angeles, CA, USA","Ming-Hsieh Department of Electrical Engineering, Signal and Image Processing Institute, University of Southern California, Los Angeles, CA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Ming Hsieh Department of Electrical Engineering, Signal, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Ming-Hsieh Department of Electrical Engineering, Signal and Image Processing Institute, University of Southern California, Los Angeles, CA, USA#TAB#","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028699912","display_name":"Jerry M. Mendel","orcid":"https://orcid.org/0000-0001-6377-2452"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jerry M. Mendel","raw_affiliation_strings":["Ming Hsieh Department of Electrical Engineering, Signal, University of Southern California, Los Angeles, CA, USA","Ming-Hsieh Department of Electrical Engineering, Signal and Image Processing Institute, University of Southern California, Los Angeles, CA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Ming Hsieh Department of Electrical Engineering, Signal, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Ming-Hsieh Department of Electrical Engineering, Signal and Image Processing Institute, University of Southern California, Los Angeles, CA, USA#TAB#","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108646315"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":4.0582,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.93644927,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"5","first_page":"1245","last_page":"1261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9980999827384949,"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":0.9973000288009644,"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/extension","display_name":"Extension (predicate logic)","score":0.7724387645721436},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6647996306419373},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.5787602066993713},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5247088670730591},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5132362842559814},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5098673105239868},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.506395697593689},{"id":"https://openalex.org/keywords/jaccard-index","display_name":"Jaccard index","score":0.5058529376983643},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47467613220214844},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.467441201210022},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.42891770601272583},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37873372435569763},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37377315759658813},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3700424134731293},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3660334348678589},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.11366179585456848}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.7724387645721436},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6647996306419373},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.5787602066993713},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5247088670730591},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5132362842559814},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5098673105239868},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.506395697593689},{"id":"https://openalex.org/C203519979","wikidata":"https://www.wikidata.org/wiki/Q865360","display_name":"Jaccard index","level":3,"score":0.5058529376983643},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47467613220214844},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.467441201210022},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.42891770601272583},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37873372435569763},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37377315759658813},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3700424134731293},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3660334348678589},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.11366179585456848},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2013.2287028","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2013.2287028","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W118522944","https://openalex.org/W261062478","https://openalex.org/W625010623","https://openalex.org/W1502867372","https://openalex.org/W1558801924","https://openalex.org/W1577797262","https://openalex.org/W1971588444","https://openalex.org/W1974167525","https://openalex.org/W1980080444","https://openalex.org/W1983658296","https://openalex.org/W1984987698","https://openalex.org/W1986213593","https://openalex.org/W1989650218","https://openalex.org/W1999221008","https://openalex.org/W2000862190","https://openalex.org/W2002286769","https://openalex.org/W2004760762","https://openalex.org/W2007698389","https://openalex.org/W2014615996","https://openalex.org/W2015338869","https://openalex.org/W2019455834","https://openalex.org/W2020694587","https://openalex.org/W2021045379","https://openalex.org/W2037940305","https://openalex.org/W2038190934","https://openalex.org/W2042774699","https://openalex.org/W2056762491","https://openalex.org/W2057584034","https://openalex.org/W2057794837","https://openalex.org/W2064847870","https://openalex.org/W2083994216","https://openalex.org/W2085172394","https://openalex.org/W2096468420","https://openalex.org/W2117501337","https://openalex.org/W2119388152","https://openalex.org/W2128042275","https://openalex.org/W2128295940","https://openalex.org/W2129726562","https://openalex.org/W2130902850","https://openalex.org/W2143896541","https://openalex.org/W2152329090","https://openalex.org/W2157041604","https://openalex.org/W2157423656","https://openalex.org/W2157825528","https://openalex.org/W2160059351","https://openalex.org/W2165094119","https://openalex.org/W2170024585","https://openalex.org/W2170918203","https://openalex.org/W2477719344","https://openalex.org/W2500340515","https://openalex.org/W4240278385","https://openalex.org/W4247749894","https://openalex.org/W4255301166","https://openalex.org/W4323873904","https://openalex.org/W6633659080","https://openalex.org/W6652379334","https://openalex.org/W6666529663","https://openalex.org/W6683094445"],"related_works":["https://openalex.org/W1505735190","https://openalex.org/W4388516489","https://openalex.org/W1486684451","https://openalex.org/W4361984403","https://openalex.org/W2166637398","https://openalex.org/W2087021805","https://openalex.org/W2573957424","https://openalex.org/W2116365436","https://openalex.org/W4316690390","https://openalex.org/W1487720066"],"abstract_inverted_index":{"In":[0],"this":[1,160],"paper,":[2],"we":[3,37,118],"propose":[4],"and":[5,33,48,155],"demonstrate":[6],"an":[7],"effective":[8],"methodology":[9,158],"for":[10,62,124],"implementing":[11],"the":[12,39,42,46,55,63,69,74,80,83,88,93,98,103,128,157],"generalized":[13],"extension":[14],"principle":[15],"to":[16,105],"solve":[17,149],"Advanced":[18],"Computing":[19],"with":[20,162],"Words":[21],"(ACWW)":[22],"problems.":[23],"Such":[24],"problems":[25,107,112,147,154],"involve":[26,87,108],"implicit":[27],"assignments":[28],"of":[29,41,82,92,159],"linguistic":[30],"truth,":[31],"probability,":[32],"possibility.":[34],"To":[35],"begin,":[36],"establish":[38],"vocabularies":[40],"words":[43,56,64,138],"involved":[44],"in":[45],"problems,":[47,85],"then":[49,119],"collect":[50],"data":[51],"from":[52],"subjects":[53],"about":[54],"after":[57],"which":[58,86],"fuzzy":[59,89,130],"set":[60,90,131],"models":[61,91],"are":[65,95,133],"obtained":[66],"by":[67],"using":[68,97,139],"Interval":[70,76],"Approach":[71,77],"(IA)":[72],"or":[73],"Enhanced":[75],"(EIA).":[78],"Next,":[79],"solutions":[81,104,132],"ACWW":[84,146],"words,":[94],"formulated":[96],"Generalized":[99],"Extension":[100],"Principle.":[101],"Because":[102],"those":[106],"complicated":[109],"functional":[110],"optimization":[111],"that":[113],"cannot":[114],"be":[115],"solved":[116],"analytically,":[117],"develop":[120],"a":[121],"numerical":[122],"method":[123],"their":[125],"solution.":[126],"Finally,":[127],"resulting":[129],"decoded":[134],"into":[135],"natural":[136],"language":[137],"Jaccard's":[140],"similarity":[141],"measure.":[142],"We":[143],"explain":[144],"how":[145],"can":[148],"some":[150],"potential":[151],"prototype":[152],"engineering":[153],"connect":[156],"paper":[161],"Perceptual":[163],"Computing.":[164]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}