{"id":"https://openalex.org/W2075733910","doi":"https://doi.org/10.1109/smc.2014.6973997","title":"Interval-valued intuitionistic trapezoidal fuzzy number and its application","display_name":"Interval-valued intuitionistic trapezoidal fuzzy number and its application","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W2075733910","doi":"https://doi.org/10.1109/smc.2014.6973997","mag":"2075733910"},"language":"en","primary_location":{"id":"doi:10.1109/smc.2014.6973997","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smc.2014.6973997","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Systems, Man, and Cybernetics (SMC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100782051","display_name":"Junhong Li","orcid":"https://orcid.org/0000-0002-4864-0897"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]},{"id":"https://openalex.org/I94611258","display_name":"Hebei Normal University","ror":"https://ror.org/004rbbw49","country_code":"CN","type":"education","lineage":["https://openalex.org/I94611258"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junhong Li","raw_affiliation_strings":["College of Information Science and Technology, Beijing Normal University, Beijing, China","College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, China","institution_ids":["https://openalex.org/I94611258"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080923132","display_name":"Wenyi Zeng","orcid":"https://orcid.org/0000-0002-8908-3329"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenyi Zeng","raw_affiliation_strings":["College of Information Science and Technology, Beijing Normal University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020083340","display_name":"Ping Guo","orcid":"https://orcid.org/0000-0002-7122-1084"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Guo","raw_affiliation_strings":["College of Information Science and Technology, Beijing Normal University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"734","last_page":"737"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"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":0.9994999766349792,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9915000200271606,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9876000285148621,"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/sorting","display_name":"Sorting","score":0.6261205673217773},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5799887180328369},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5392320156097412},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5346241593360901},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5246089696884155},{"id":"https://openalex.org/keywords/algebraic-operation","display_name":"Algebraic operation","score":0.5216232538223267},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.47809383273124695},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4780314862728119},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4375721216201782},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.416305273771286},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40631964802742004},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3310166895389557},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33097952604293823},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3229601979255676},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20316708087921143},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14997798204421997},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13680553436279297},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04565426707267761}],"concepts":[{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.6261205673217773},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5799887180328369},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5392320156097412},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5346241593360901},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5246089696884155},{"id":"https://openalex.org/C136003732","wikidata":"https://www.wikidata.org/wiki/Q3854337","display_name":"Algebraic operation","level":3,"score":0.5216232538223267},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.47809383273124695},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4780314862728119},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4375721216201782},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.416305273771286},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40631964802742004},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3310166895389557},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33097952604293823},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3229601979255676},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20316708087921143},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14997798204421997},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13680553436279297},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04565426707267761}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/smc.2014.6973997","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smc.2014.6973997","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Systems, Man, and Cybernetics (SMC)","raw_type":"proceedings-article"}],"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/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1973603960","https://openalex.org/W1976915331","https://openalex.org/W1979263640","https://openalex.org/W1980564456","https://openalex.org/W1994940876","https://openalex.org/W1995972849","https://openalex.org/W1996831558","https://openalex.org/W1998846400","https://openalex.org/W2007508233","https://openalex.org/W2007528101","https://openalex.org/W2010740403","https://openalex.org/W2019421790","https://openalex.org/W2031241748","https://openalex.org/W2042096136","https://openalex.org/W2043376473","https://openalex.org/W2055108933","https://openalex.org/W2067253988","https://openalex.org/W2076808107","https://openalex.org/W2082300399","https://openalex.org/W2091130862","https://openalex.org/W2091617649","https://openalex.org/W2092958951","https://openalex.org/W2092965581","https://openalex.org/W2094298237","https://openalex.org/W2133404844","https://openalex.org/W2251555178","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4233531871","https://openalex.org/W4292078529","https://openalex.org/W4292295629"],"related_works":["https://openalex.org/W2121560876","https://openalex.org/W2253053392","https://openalex.org/W2184441312","https://openalex.org/W4206081075","https://openalex.org/W2331106272","https://openalex.org/W2614887008","https://openalex.org/W2366385051","https://openalex.org/W1486684451","https://openalex.org/W4361984403","https://openalex.org/W4361273540"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,47],"propose":[4],"the":[5,37,59],"new":[6],"type":[7],"of":[8,24],"fuzzy":[9,13,19],"number,":[10],"intuitionistic":[11,17],"trapezoidal":[12,18],"number(ITFN)":[14],"and":[15,26,52,69],"interval-valued":[16],"number(IVITFN),":[20],"study":[21],"some":[22,28],"properties":[23],"them,":[25],"investigate":[27],"algebraic":[29,53],"operations":[30],"between":[31],"two":[32],"IVITFNs.":[33],"We":[34],"also":[35],"present":[36],"sorting":[38],"criteria":[39],"for":[40],"IVITFN":[41,51],"based":[42],"on":[43],"its":[44],"definition.":[45],"Finally,":[46],"use":[48],"our":[49,64],"proposed":[50,65],"operation":[54],"to":[55],"assess":[56],"production":[57],"line,":[58],"experiment":[60],"results":[61],"show":[62],"that":[63],"method":[66],"is":[67],"effective":[68],"available.":[70]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
