{"id":"https://openalex.org/W3017212239","doi":"https://doi.org/10.1109/ifuzzy46984.2019.9066221","title":"The General Type 1 and Interval Type 2 Fuzzy Sets Addition Based on the Yager T-norms with Entropy as Degree of Fuzziness","display_name":"The General Type 1 and Interval Type 2 Fuzzy Sets Addition Based on the Yager T-norms with Entropy as Degree of Fuzziness","publication_year":2019,"publication_date":"2019-11-01","ids":{"openalex":"https://openalex.org/W3017212239","doi":"https://doi.org/10.1109/ifuzzy46984.2019.9066221","mag":"3017212239"},"language":"en","primary_location":{"id":"doi:10.1109/ifuzzy46984.2019.9066221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ifuzzy46984.2019.9066221","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 International Conference on Fuzzy Theory and Its Applications (iFUZZY)","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/A5030389685","display_name":"Kuo-Ping Chiao","orcid":"https://orcid.org/0000-0001-8561-595X"},"institutions":[{"id":"https://openalex.org/I152100410","display_name":"Aletheia University","ror":"https://ror.org/00ke8ye77","country_code":"TW","type":"education","lineage":["https://openalex.org/I152100410"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Kuo-Ping Chiao","raw_affiliation_strings":["Department of Industrial Management and Enterprise Information, Aletheia University, New Taipei, Tamsui, Taiwan","Aletheia University,Department of Industrial Management and Enterprise Information,New Taipei,Tamsui,Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Management and Enterprise Information, Aletheia University, New Taipei, Tamsui, Taiwan","institution_ids":["https://openalex.org/I152100410"]},{"raw_affiliation_string":"Aletheia University,Department of Industrial Management and Enterprise Information,New Taipei,Tamsui,Taiwan","institution_ids":["https://openalex.org/I152100410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030389685"],"corresponding_institution_ids":["https://openalex.org/I152100410"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.2552421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5","issue":null,"first_page":"214","last_page":"219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9972000122070312,"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":0.9757999777793884,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7338716983795166},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6595749855041504},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5999951958656311},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5586583018302917},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5404695868492126},{"id":"https://openalex.org/keywords/multiple-criteria-decision-analysis","display_name":"Multiple-criteria decision analysis","score":0.5105482339859009},{"id":"https://openalex.org/keywords/t-norm","display_name":"T-norm","score":0.4723029136657715},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4406149983406067},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.43553128838539124},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4190903902053833},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40052977204322815},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3294016420841217},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32938268780708313},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2917332649230957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21898123621940613}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7338716983795166},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6595749855041504},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5999951958656311},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5586583018302917},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5404695868492126},{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.5105482339859009},{"id":"https://openalex.org/C2721081","wikidata":"https://www.wikidata.org/wiki/Q2383161","display_name":"T-norm","level":5,"score":0.4723029136657715},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4406149983406067},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.43553128838539124},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4190903902053833},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40052977204322815},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3294016420841217},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32938268780708313},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2917332649230957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21898123621940613},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ifuzzy46984.2019.9066221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ifuzzy46984.2019.9066221","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 International Conference on Fuzzy Theory and Its Applications (iFUZZY)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8299999833106995,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W161157074","https://openalex.org/W1543134558","https://openalex.org/W1898259180","https://openalex.org/W1968172834","https://openalex.org/W1990794890","https://openalex.org/W2018103735","https://openalex.org/W2026244788","https://openalex.org/W2029074979","https://openalex.org/W2031188383","https://openalex.org/W2040121225","https://openalex.org/W2047777882","https://openalex.org/W2056858413","https://openalex.org/W2057066113","https://openalex.org/W2079358157","https://openalex.org/W2089624753","https://openalex.org/W2155263265","https://openalex.org/W2157041604","https://openalex.org/W2395767058","https://openalex.org/W2509056837","https://openalex.org/W2578456536","https://openalex.org/W2979459760","https://openalex.org/W4234672050","https://openalex.org/W4245152641","https://openalex.org/W6606463785","https://openalex.org/W6630467446"],"related_works":["https://openalex.org/W57995508","https://openalex.org/W58059146","https://openalex.org/W48469438","https://openalex.org/W37803861","https://openalex.org/W7874653","https://openalex.org/W49782344","https://openalex.org/W2216003","https://openalex.org/W43457839","https://openalex.org/W113294","https://openalex.org/W26553146"],"abstract_inverted_index":{"The":[0,16,97],"classical":[1],"fuzzy":[2,20,40,46],"operation":[3],"that":[4],"was":[5],"based":[6,19,33,55,67,76,110],"on":[7,56],"the":[8,25,30,36,52,57,63,73,80,83,87,91,107,121],"minimum":[9],"t-norm":[10,18,66,75],"would":[11],"lead":[12],"to":[13,72,119],"uncontrollable":[14],"fuzziness.":[15,26],"generalized":[17],"arithmetic":[21],"can":[22],"better":[23],"control":[24],"In":[27],"this":[28],"paper,":[29],"Yager":[31,58,108],"t-norms":[32,59,109],"additions":[34,54],"of":[35,82,86,93,95,106],"general":[37,64,88],"type":[38,44],"1":[39],"set":[41,47],"and":[42,90],"interval":[43],"2":[45],"(IT2FS)":[48],"are":[49,60],"developed.":[50,61],"Firstly,":[51],"T1FS":[53,65,89],"Then,":[62],"developed":[68,122],"expressions":[69],"will":[70],"extend":[71],"IT2FS":[74],"additions.":[77],"We":[78],"define":[79],"entropy":[81],"addition":[84],"results":[85],"degree":[92],"fuzziness":[94],"IT2FS.":[96],"multiple":[98],"criteria":[99],"decision":[100],"making":[101],"(MCDM)":[102],"aggregation":[103],"is":[104,117],"one":[105],"applications.":[111],"A":[112],"linguistic":[113],"MCDM":[114],"numerical":[115],"example":[116],"performed":[118],"verify":[120],"expressions.":[123]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}