{"id":"https://openalex.org/W2101599274","doi":"https://doi.org/10.1109/t2fuzz.2011.5949547","title":"New similarity and inclusion measures between type-2 fuzzy sets","display_name":"New similarity and inclusion measures between type-2 fuzzy sets","publication_year":2011,"publication_date":"2011-04-01","ids":{"openalex":"https://openalex.org/W2101599274","doi":"https://doi.org/10.1109/t2fuzz.2011.5949547","mag":"2101599274"},"language":"en","primary_location":{"id":"doi:10.1109/t2fuzz.2011.5949547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/t2fuzz.2011.5949547","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Symposium on Advances in Type-2 Fuzzy Logic Systems (T2FUZZ)","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/A5035803751","display_name":"Chao-Ming Hwang","orcid":null},"institutions":[{"id":"https://openalex.org/I205612303","display_name":"Chinese Culture University","ror":"https://ror.org/04shepe48","country_code":"TW","type":"education","lineage":["https://openalex.org/I205612303"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chao-Ming Hwang","raw_affiliation_strings":["Department of Applied Mathematics, Chinese Cultural University, Taipei, Taiwan","Department of Applied Mathematics; Chinese Culture University; Taipei Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Chinese Cultural University, Taipei, Taiwan","institution_ids":["https://openalex.org/I205612303"]},{"raw_affiliation_string":"Department of Applied Mathematics; Chinese Culture University; Taipei Taiwan","institution_ids":["https://openalex.org/I205612303"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087177935","display_name":"Miin\u2010Shen Yang","orcid":"https://orcid.org/0000-0002-4907-3548"},"institutions":[{"id":"https://openalex.org/I151221077","display_name":"Chung Yuan Christian University","ror":"https://ror.org/02w8ws377","country_code":"TW","type":"education","lineage":["https://openalex.org/I151221077"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Miin-Shen Yang","raw_affiliation_strings":["Department of Applied Mathematics, Chung Yuan Christian University, Chungli, Taiwan","Department of Applied Mathematics, Chung Yung Christian University, Chung-Li 32023, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Chung Yuan Christian University, Chungli, Taiwan","institution_ids":["https://openalex.org/I151221077"]},{"raw_affiliation_string":"Department of Applied Mathematics, Chung Yung Christian University, Chung-Li 32023, Taiwan","institution_ids":["https://openalex.org/I151221077"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111740439","display_name":"Wen\u2010Liang Hung","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154699","display_name":"National Hsinchu University of Education","ror":"https://ror.org/05prep819","country_code":"TW","type":"education","lineage":["https://openalex.org/I4210154699"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Wen-Liang Hung","raw_affiliation_strings":["Graduate Institute of Computer Science, National Hsinchu University of Education, Hsinchu, Taiwan","Graduate Institute of Computer Science, National Hsinchu University of Education, Taiwan"],"affiliations":[{"raw_affiliation_string":"Graduate Institute of Computer Science, National Hsinchu University of Education, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I4210154699"]},{"raw_affiliation_string":"Graduate Institute of Computer Science, National Hsinchu University of Education, Taiwan","institution_ids":["https://openalex.org/I4210154699"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035803751"],"corresponding_institution_ids":["https://openalex.org/I205612303"],"apc_list":null,"apc_paid":null,"fwci":0.8552,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80046641,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"35","issue":null,"first_page":"82","last_page":"87"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9991000294685364,"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":0.9991000294685364,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9851999878883362,"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/T10320","display_name":"Neural Networks and Applications","score":0.9702000021934509,"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/fuzzy-set","display_name":"Fuzzy set","score":0.6978522539138794},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.6283274292945862},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6242161393165588},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.6138586401939392},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6046041250228882},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5873075723648071},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.575608491897583},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5271249413490295},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5213397741317749},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4996204376220703},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45299482345581055},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.45216360688209534},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.44952619075775146},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38147222995758057},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37415626645088196},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.04967823624610901}],"concepts":[{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6978522539138794},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.6283274292945862},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6242161393165588},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.6138586401939392},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6046041250228882},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5873075723648071},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.575608491897583},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5271249413490295},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5213397741317749},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4996204376220703},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45299482345581055},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.45216360688209534},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.44952619075775146},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38147222995758057},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37415626645088196},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.04967823624610901},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/t2fuzz.2011.5949547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/t2fuzz.2011.5949547","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Symposium on Advances in Type-2 Fuzzy Logic Systems (T2FUZZ)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7200000286102295,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1975672023","https://openalex.org/W1978808568","https://openalex.org/W1983560528","https://openalex.org/W1999956061","https://openalex.org/W2020915858","https://openalex.org/W2023671427","https://openalex.org/W2026829949","https://openalex.org/W2041675778","https://openalex.org/W2056021265","https://openalex.org/W2069656851","https://openalex.org/W2124041779","https://openalex.org/W2132885717","https://openalex.org/W2139927426","https://openalex.org/W2151614844","https://openalex.org/W2157041604","https://openalex.org/W2161771180","https://openalex.org/W2164458769","https://openalex.org/W2168164276","https://openalex.org/W2912565176","https://openalex.org/W4211007335","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/W2331106272","https://openalex.org/W4361984403","https://openalex.org/W1542808721","https://openalex.org/W2960454922","https://openalex.org/W1487720066","https://openalex.org/W2253053392"],"abstract_inverted_index":{"In":[0,59],"this":[1],"paper,":[2,61],"new":[3],"similarity":[4,18,29],"and":[5,35],"inclusion":[6,36],"measures":[7,19,37,66,81],"between":[8,31],"type-2":[9,21,32,39,48,56,72],"fuzzy":[10,22,33,40,49,57,73],"sets":[11,23,34,41],"are":[12,24,42,82],"proposed.":[13],"It":[14],"is":[15,51],"known":[16],"that":[17,78],"of":[20,54],"used":[25],"to":[26,45],"indicate":[27],"the":[28,43,60,79],"degree":[30],"for":[38,71],"degrees":[44],"which":[46],"a":[47,52],"set":[50],"subset":[53],"another":[55],"set.":[58],"we":[62],"compare":[63],"these":[64],"proposed":[65,80],"with":[67],"several":[68],"existing":[69,85],"methods":[70],"sets.":[74],"Numerical":[75],"results":[76],"show":[77],"better":[83],"than":[84],"measures.":[86]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
