{"id":"https://openalex.org/W2587594190","doi":"https://doi.org/10.1155/2017/3049041","title":"A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers","display_name":"A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2587594190","doi":"https://doi.org/10.1155/2017/3049041","mag":"2587594190"},"language":"en","primary_location":{"id":"doi:10.1155/2017/3049041","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/3049041","pdf_url":"http://downloads.hindawi.com/journals/complexity/2017/3049041.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/complexity/2017/3049041.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Lakshmana Gomathi Nayagam Velu","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":"Lakshmana Gomathi Nayagam Velu","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Tiruchirappalli, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Tiruchirappalli, India","institution_ids":["https://openalex.org/I122964287"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jeevaraj Selvaraj","orcid":"https://orcid.org/0000-0002-4374-1939"},"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":"Jeevaraj Selvaraj","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Tiruchirappalli, India"],"raw_orcid":"https://orcid.org/0000-0002-4374-1939","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Tiruchirappalli, India","institution_ids":["https://openalex.org/I122964287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027424624","display_name":"P. Dhanasekaran","orcid":"https://orcid.org/0000-0003-3134-1898"},"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":"Dhanasekaran Ponnialagan","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Tiruchirappalli, India"],"raw_orcid":"https://orcid.org/0000-0003-3134-1898","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Tiruchirappalli, India","institution_ids":["https://openalex.org/I122964287"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I122964287"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":2.1501,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87803331,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2017","issue":null,"first_page":"1","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9896000027656555,"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":0.9750999808311462,"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":0.6941403150558472},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6235897541046143},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5133351683616638},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5052400231361389},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.5038546919822693},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.480214923620224},{"id":"https://openalex.org/keywords/score","display_name":"Score","score":0.46180859208106995},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45704251527786255},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.44049298763275146},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4225970208644867},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4221249222755432},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.42142438888549805},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4053087532520294},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.39583438634872437},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.367795467376709},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.281435489654541}],"concepts":[{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6941403150558472},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6235897541046143},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5133351683616638},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5052400231361389},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.5038546919822693},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.480214923620224},{"id":"https://openalex.org/C65660741","wikidata":"https://www.wikidata.org/wiki/Q3952743","display_name":"Score","level":2,"score":0.46180859208106995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45704251527786255},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.44049298763275146},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4225970208644867},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4221249222755432},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.42142438888549805},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4053087532520294},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.39583438634872437},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.367795467376709},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.281435489654541},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2017/3049041","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/3049041","pdf_url":"http://downloads.hindawi.com/journals/complexity/2017/3049041.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:3049041","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2017/3049041.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:6e1e92c930214e7b914db52abd9ffbeb","is_oa":true,"landing_page_url":"https://doaj.org/article/6e1e92c930214e7b914db52abd9ffbeb","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2017 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2017/3049041","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/3049041","pdf_url":"http://downloads.hindawi.com/journals/complexity/2017/3049041.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7300000190734863,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320721","display_name":"Council of Scientific and Industrial Research, India","ror":"https://ror.org/021wm7p51"},{"id":"https://openalex.org/F4320334740","display_name":"Human Resource Development Group","ror":"https://ror.org/0577j0g35"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2587594190.pdf","grobid_xml":"https://content.openalex.org/works/W2587594190.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W118053408","https://openalex.org/W1642042653","https://openalex.org/W1975822310","https://openalex.org/W1980564456","https://openalex.org/W2004700754","https://openalex.org/W2011808790","https://openalex.org/W2030873341","https://openalex.org/W2038604975","https://openalex.org/W2048120646","https://openalex.org/W2050878123","https://openalex.org/W2058679499","https://openalex.org/W2064900188","https://openalex.org/W2077587146","https://openalex.org/W2089920338","https://openalex.org/W2090461705","https://openalex.org/W2116234687","https://openalex.org/W2154968621","https://openalex.org/W2217480948","https://openalex.org/W2353915537","https://openalex.org/W2406216407","https://openalex.org/W2473827650","https://openalex.org/W2767992987","https://openalex.org/W3099236077","https://openalex.org/W4285719527","https://openalex.org/W4292078529"],"related_works":["https://openalex.org/W2253053392","https://openalex.org/W2674573885","https://openalex.org/W1192306788","https://openalex.org/W2614887008","https://openalex.org/W1542808721","https://openalex.org/W2331106272","https://openalex.org/W2211233","https://openalex.org/W4206081075","https://openalex.org/W1489009679","https://openalex.org/W1470403688"],"abstract_inverted_index":{"Modelling":[0],"real":[1],"life":[2],"(industrial)":[3],"problems":[4,21,68],"using":[5,112,145],"intuitionistic":[6,30,46,55,60,76,97],"fuzzy":[7,31,47,56,61,77,98],"numbers":[8,32,62],"is":[9,137,143,157],"inevitable":[10],"in":[11,19,25,37,67,83],"the":[12,26,51,90,94,108],"present":[13],"scenario":[14],"due":[15,88],"to":[16,89],"their":[17,23],"efficiency":[18],"solving":[20],"and":[22,40,71,133,139],"accuracy":[24,124],"results.":[27],"Particularly,":[28],"trapezoidal":[29,59],"(TrIFNs)":[33],"are":[34],"widely":[35],"used":[36],"describing":[38],"impreciseness":[39],"incompleteness":[41],"of":[42,86,96,110,149],"a":[43,103],"data.":[44],"Any":[45],"decision-making":[48,78],"problem":[49],"requires":[50],"ranking":[52],"procedure":[53],"for":[54],"numbers.":[57,99],"Ranking":[58],"play":[63],"an":[64],"important":[65],"role":[66],"involving":[69],"incomplete":[70,122],"uncertain":[72],"information.":[73],"The":[74],"available":[75],"methods":[79,156],"cannot":[80],"perform":[81],"well":[82],"all":[84],"types":[85],"problems,":[87],"partial":[91],"ordering":[92,106],"on":[93,107],"set":[95],"In":[100],"this":[101],"paper,":[102],"new":[104],"total":[105],"class":[109],"TrIFNs":[111],"eight":[113],"different":[114],"score":[115],"functions,":[116],"namely,":[117],"imprecise":[118],"score,":[119,121,123,125,127,129,132,136],"nonvague":[120],"spread":[126],"nonaccuracy":[128],"left":[130],"area":[131,135],"right":[134],"achieved":[138],"our":[140,150],"proposed":[141,151],"method":[142,152],"validated":[144],"illustrative":[146],"examples.":[147],"Significance":[148],"with":[153],"familiar":[154],"existing":[155],"discussed.":[158]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
