{"id":"https://openalex.org/W2311772961","doi":"https://doi.org/10.3233/ifs-152064","title":"A complete ranking of incomplete trapezoidal information","display_name":"A complete ranking of incomplete trapezoidal information","publication_year":2016,"publication_date":"2016-04-30","ids":{"openalex":"https://openalex.org/W2311772961","doi":"https://doi.org/10.3233/ifs-152064","mag":"2311772961"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-152064","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-152064","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & 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/A5013326280","display_name":"V. Lakshmana Gomathi Nayagam","orcid":null},"institutions":[{"id":"https://openalex.org/I122964287","display_name":"National Institute of Technology Tiruchirappalli","ror":"https://ror.org/047x65e68","country_code":"IN","type":"education","lineage":["https://openalex.org/I122964287"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"V. Lakshmana Gomathi Nayagam","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Tiruchirappalli, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Tiruchirappalli, Tamil Nadu, India","institution_ids":["https://openalex.org/I122964287"]}]},{"author_position":"middle","author":{"id":null,"display_name":"P. Dhanasekaran","orcid":null},"institutions":[{"id":"https://openalex.org/I122964287","display_name":"National Institute of Technology Tiruchirappalli","ror":"https://ror.org/047x65e68","country_code":"IN","type":"education","lineage":["https://openalex.org/I122964287"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"P. Dhanasekaran","raw_affiliation_strings":["Research Scholars, Department of Mathematics, National Institute of Technology Tiruchirappalli, Tamil Nadu, India","E-mail:"],"affiliations":[{"raw_affiliation_string":"Research Scholars, Department of Mathematics, National Institute of Technology Tiruchirappalli, Tamil Nadu, India","institution_ids":["https://openalex.org/I122964287"]},{"raw_affiliation_string":"E-mail:","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082298785","display_name":"S. Jeevaraj","orcid":null},"institutions":[{"id":"https://openalex.org/I122964287","display_name":"National Institute of Technology Tiruchirappalli","ror":"https://ror.org/047x65e68","country_code":"IN","type":"education","lineage":["https://openalex.org/I122964287"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Jeevaraj","raw_affiliation_strings":["Research Scholars, Department of Mathematics, National Institute of Technology Tiruchirappalli, Tamil Nadu, India","E-mail:"],"affiliations":[{"raw_affiliation_string":"Research Scholars, Department of Mathematics, National Institute of Technology Tiruchirappalli, Tamil Nadu, India","institution_ids":["https://openalex.org/I122964287"]},{"raw_affiliation_string":"E-mail:","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I122964287"],"apc_list":null,"apc_paid":null,"fwci":1.4916,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.84604118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"30","issue":"6","first_page":"3209","last_page":"3225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9652000069618225,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9603000283241272,"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/ranking","display_name":"Ranking (information retrieval)","score":0.7641392946243286},{"id":"https://openalex.org/keywords/complete-information","display_name":"Complete information","score":0.6279739141464233},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6126192808151245},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5678554177284241},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5564410090446472},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5485296845436096},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.465575635433197},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4510398209095001},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4252222180366516},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4231155812740326},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4221477508544922},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.39857491850852966},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3528848886489868},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3450067639350891},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.0705837607383728}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7641392946243286},{"id":"https://openalex.org/C113336015","wikidata":"https://www.wikidata.org/wiki/Q574010","display_name":"Complete information","level":2,"score":0.6279739141464233},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6126192808151245},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5678554177284241},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5564410090446472},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5485296845436096},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.465575635433197},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4510398209095001},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4252222180366516},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4231155812740326},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4221477508544922},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.39857491850852966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3528848886489868},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3450067639350891},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.0705837607383728},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-152064","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-152064","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W106134633","https://openalex.org/W1898259180","https://openalex.org/W1968555782","https://openalex.org/W1969921454","https://openalex.org/W1980564456","https://openalex.org/W1987729209","https://openalex.org/W1988270392","https://openalex.org/W1992193696","https://openalex.org/W2023447058","https://openalex.org/W2032068635","https://openalex.org/W2032765402","https://openalex.org/W2040199155","https://openalex.org/W2048120646","https://openalex.org/W2057718022","https://openalex.org/W2063610441","https://openalex.org/W2068033859","https://openalex.org/W2076808107","https://openalex.org/W2081037298","https://openalex.org/W2119671572","https://openalex.org/W2177315735","https://openalex.org/W2346953349","https://openalex.org/W2363362486","https://openalex.org/W2367177827","https://openalex.org/W2373494548","https://openalex.org/W2379318532","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4236045338","https://openalex.org/W4249269149","https://openalex.org/W4285719527","https://openalex.org/W4292078529","https://openalex.org/W6604332227","https://openalex.org/W6677850084","https://openalex.org/W7044112002"],"related_works":["https://openalex.org/W2962692142","https://openalex.org/W1771651560","https://openalex.org/W4300725361","https://openalex.org/W2386897142","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W2041647433","https://openalex.org/W1640180556","https://openalex.org/W329313523","https://openalex.org/W2262032878"],"abstract_inverted_index":{"The":[0],"intuitionistic":[1],"fuzzy":[2,41],"sets":[3],"(IFSs)":[4],"introduced":[5],"by":[6,159],"Atanassov":[7],"are":[8,44],"widely":[9],"applied":[10],"in":[11,23,55],"all":[12,80],"areas":[13],"such":[14],"as":[15,91],"data":[16],"analysis,":[17],"artificial":[18],"intelligence,":[19],"decision":[20],"support":[21],"systems":[22],"modelling":[24],"problems":[25],"with":[26,136,164],"incomplete":[27,48,137],"and":[28,49,77,127,146],"imprecise":[29,50],"information":[30,51,134,139],"due":[31],"to":[32,46],"their":[33],"better":[34],"accuracy.":[35],"More":[36],"precisely,":[37],"trapezoidal":[38,138],"intuitionis":[39],"tic":[40],"numbers":[42],"(TraIFNs)":[43],"able":[45],"model":[47],"based":[52,122],"on":[53,64,105,116,123],"qualitative":[54],"nature.":[56],"Many":[57],"researchers":[58],"have":[59,83,143],"proposed":[60,141,152,162],"different":[61,89,124],"ranking":[62,104],"methods":[63,82,156],"TraIFNs,":[65],"but":[66],"none":[67],"of":[68,75,97,108,113,120,150],"them":[69],"has":[70],"covered":[71],"the":[72,81,92,106,148,161],"entire":[73],"class":[74,107],"TraIFNs":[76,109],"also":[78,147],"almost":[79],"disadvantage":[84],"that":[85],"they":[86],"ranked":[87],"two":[88],"IFNs":[90],"same":[93],"at":[94],"some":[95,117],"point":[96],"time.":[98],"In":[99],"this":[100],"paper,":[101],"a":[102],"complete":[103],"using":[110,140],"axiomatic":[111],"set":[112],"total":[114],"ordering":[115],"special":[118],"subclasses":[119],"TraIFN":[121],"score":[125],"functions":[126],"an":[128],"algorithm":[129],"for":[130],"making":[131],"decisions":[132],"from":[133],"system":[135],"ordering,":[142],"been":[144],"studied":[145],"significance":[149],"our":[151],"method":[153,163],"over":[154],"existing":[155,165],"is":[157],"shown":[158],"comparing":[160],"methods.":[166]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}