{"id":"https://openalex.org/W2493168409","doi":"https://doi.org/10.3233/jifs-16041","title":"Evaluation of trapezoidal fuzzy numbers on\u00a0AHP based solution of multi-objective programming problems","display_name":"Evaluation of trapezoidal fuzzy numbers on\u00a0AHP based solution of multi-objective programming problems","publication_year":2016,"publication_date":"2016-06-27","ids":{"openalex":"https://openalex.org/W2493168409","doi":"https://doi.org/10.3233/jifs-16041","mag":"2493168409"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-16041","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-16041","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/A5076217206","display_name":"Serkan Akba\u015f","orcid":"https://orcid.org/0000-0001-5220-7458"},"institutions":[{"id":"https://openalex.org/I162720556","display_name":"Karadeniz Technical University","ror":"https://ror.org/03z8fyr40","country_code":"TR","type":"education","lineage":["https://openalex.org/I162720556"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Serkan Akba\u015f","raw_affiliation_strings":["Department of Statistics and Computer Sciences, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Computer Sciences, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey","institution_ids":["https://openalex.org/I162720556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039993767","display_name":"T\u00fcrkan Erbay Dalk\u0131l\u0131\u00e7","orcid":"https://orcid.org/0000-0003-2923-599X"},"institutions":[{"id":"https://openalex.org/I162720556","display_name":"Karadeniz Technical University","ror":"https://ror.org/03z8fyr40","country_code":"TR","type":"education","lineage":["https://openalex.org/I162720556"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"T\u00fcrkan Erbay Dalkili\u00e7","raw_affiliation_strings":["Department of Statistics and Computer Sciences, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Computer Sciences, Faculty of Sciences, Karadeniz Technical University, Trabzon, Turkey","institution_ids":["https://openalex.org/I162720556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039993767"],"corresponding_institution_ids":["https://openalex.org/I162720556"],"apc_list":null,"apc_paid":null,"fwci":1.1189,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.82214274,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"31","issue":"3","first_page":"1869","last_page":"1879"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9955999851226807,"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/T13058","display_name":"Soil and Land Suitability Analysis","score":0.9595000147819519,"subfield":{"id":"https://openalex.org/subfields/2308","display_name":"Management, Monitoring, Policy and Law"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7055611610412598},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6498271226882935},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5929923057556152},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.5688130259513855},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5408923625946045},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4846368432044983},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.47900599241256714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4780157804489136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.470389723777771},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.4620909094810486},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.45208540558815},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.44564899802207947},{"id":"https://openalex.org/keywords/analytic-hierarchy-process","display_name":"Analytic hierarchy process","score":0.42987060546875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35429954528808594},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.28200286626815796},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15972194075584412},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.15210700035095215}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7055611610412598},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6498271226882935},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5929923057556152},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.5688130259513855},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5408923625946045},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4846368432044983},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.47900599241256714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4780157804489136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.470389723777771},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4620909094810486},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.45208540558815},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.44564899802207947},{"id":"https://openalex.org/C87345402","wikidata":"https://www.wikidata.org/wiki/Q485202","display_name":"Analytic hierarchy process","level":2,"score":0.42987060546875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35429954528808594},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.28200286626815796},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15972194075584412},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.15210700035095215},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-16041","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-16041","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1606925016","https://openalex.org/W1763369637","https://openalex.org/W1969075849","https://openalex.org/W1976439903","https://openalex.org/W1984557798","https://openalex.org/W2021293658","https://openalex.org/W2021506989","https://openalex.org/W2039351583","https://openalex.org/W2041970747","https://openalex.org/W2045581128","https://openalex.org/W2047788393","https://openalex.org/W2055773694","https://openalex.org/W2059536960","https://openalex.org/W2064328476","https://openalex.org/W2068123185","https://openalex.org/W2084300620","https://openalex.org/W2119153232","https://openalex.org/W2120705504","https://openalex.org/W2131364892","https://openalex.org/W2139188450","https://openalex.org/W2168936936","https://openalex.org/W4294993379"],"related_works":["https://openalex.org/W2803916279","https://openalex.org/W1951707684","https://openalex.org/W2893993940","https://openalex.org/W2994891123","https://openalex.org/W2287021682","https://openalex.org/W2060486654","https://openalex.org/W2045663060","https://openalex.org/W2154097169","https://openalex.org/W2113402117","https://openalex.org/W2066370001"],"abstract_inverted_index":{"Multi-criteria":[0],"decision":[1,60,64,108],"making":[2,61],"method":[3],"is":[4,49,86,118,157,165],"used":[5],"in":[6,112,224],"such":[7],"cases":[8,113],"having":[9],"multiple":[10,58],"targets.":[11],"Multi-objective":[12],"linear":[13,31,83,154],"programming":[14,32,84,155],"problems,":[15],"which":[16,178],"deal":[17],"with":[18,218],"uncertain":[19],"measurements":[20],"for":[21,150],"both":[22,137],"objectives":[23,187],"and":[24,63,93,136,139,188,203],"constraints,":[25],"are":[26,76,100,134,144,198,216],"solved":[27,87],"by":[28,200],"fuzzy":[29,80,104,129,132,152,205],"multi-objective":[30,153],"methods.":[33],"Analytic":[34],"hierarchy":[35],"process":[36],"(AHP),":[37],"one":[38],"of":[39,47,91,141,174,194,212,221],"the":[40,89,96,115,127,191,195,208,210,213,219,225],"multi-criteria":[41],"decision-making":[42],"methods":[43,99,223],"based":[44,106],"on":[45,67,107],"weighting":[46],"objectives,":[48],"designed":[50],"to":[51,126,167,180,183],"solve":[52],"complex":[53],"problems.":[54],"In":[55,95,120,190],"this":[56,121],"study,":[57,122],"criteria":[59],"problems":[62,69],"makers\u2019":[65,109],"opinions":[66,110],"these":[68,98],"as":[70,72,123],"well":[71],"their":[73],"solution":[74,148],"processes":[75],"discussed.":[77],"Firstly,":[78],"a":[79,147,151,168,175],"multi":[81],"objective":[82,116,142],"problem":[85,156,170],"using":[88,102,201],"approaches":[90],"Zimmerman":[92],"Hybrid.":[94],"literature,":[97],"applied":[101,166],"triangular":[103,128,202],"numbers":[105,133],"only":[111],"where":[114],"function":[117],"minimization.":[119],"an":[124],"alternative":[125],"numbers,":[130],"trapezoidal":[131,204],"defined,":[135],"minimization":[138],"maximization":[140],"functions":[143],"examined.":[145],"Finally,":[146],"algorithm":[149,164,215],"proposed":[158,214],"under":[159,185],"some":[160],"given":[161],"conditions.":[162],"The":[163],"sample":[169],"that":[171],"involves":[172],"modeling":[173],"congress":[176],"organizing":[177],"aims":[179],"place":[181],"attendees":[182],"accommodations":[184],"specific":[186],"constraints.":[189],"evaluation":[192],"phase":[193],"algorithm,":[196],"targets":[197],"weighted":[199],"numbers.":[206],"At":[207],"end,":[209],"results":[211,220],"compared":[217],"other":[222],"literature.":[226]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}