{"id":"https://openalex.org/W2890096933","doi":"https://doi.org/10.1109/access.2018.2869137","title":"A Novel PROMETHEE-Based Outranking Approach for Multiple Criteria Decision Analysis With Pythagorean Fuzzy Information","display_name":"A Novel PROMETHEE-Based Outranking Approach for Multiple Criteria Decision Analysis With Pythagorean Fuzzy Information","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2890096933","doi":"https://doi.org/10.1109/access.2018.2869137","mag":"2890096933"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2869137","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2869137","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2869137","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040477292","display_name":"Ting\u2010Yu Chen","orcid":"https://orcid.org/0000-0002-2171-4139"},"institutions":[{"id":"https://openalex.org/I4210116208","display_name":"Linkou Chang Gung Memorial Hospital","ror":"https://ror.org/02dnn6q67","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I3020100970","https://openalex.org/I4210116208"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Ting-Yu Chen","raw_affiliation_strings":["Department of Nursing, Linkou Chang Gung Memorial Hospital, Taoyuan, Taiwan"],"raw_orcid":"https://orcid.org/0000-0002-2171-4139","affiliations":[{"raw_affiliation_string":"Department of Nursing, Linkou Chang Gung Memorial Hospital, Taoyuan, Taiwan","institution_ids":["https://openalex.org/I4210116208"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040477292"],"corresponding_institution_ids":["https://openalex.org/I4210116208"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":5.5242,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.95977964,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"54495","last_page":"54506"},"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/T11606","display_name":"Infrastructure Maintenance and Monitoring","score":0.9509999752044678,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9484999775886536,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.872337281703949},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.5804811716079712},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.57712322473526},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5493521094322205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5070590972900391},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.49061456322669983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4669766426086426},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.45094916224479675},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.42256420850753784},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.380353182554245},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3382863402366638},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09458321332931519}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.872337281703949},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.5804811716079712},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.57712322473526},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5493521094322205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5070590972900391},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.49061456322669983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4669766426086426},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.45094916224479675},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.42256420850753784},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.380353182554245},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3382863402366638},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09458321332931519},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2869137","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2869137","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5b58a16436db43fab237b36d42818f9d","is_oa":true,"landing_page_url":"https://doaj.org/article/5b58a16436db43fab237b36d42818f9d","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":"IEEE Access, Vol 6, Pp 54495-54506 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2869137","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2869137","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7699999809265137}],"awards":[{"id":"https://openalex.org/G5045356945","display_name":null,"funder_award_id":"BMRP 574","funder_id":"https://openalex.org/F4320313619","funder_display_name":"Chang Gung Memorial Hospital"},{"id":"https://openalex.org/G6281320475","display_name":"Using a Mixed Choice Strategy to Develop Compromising Decision-Making Models for Multiple Criteria Decision Analysis Within the Interval-Valued Intuitionistic Fuzzy Environment","funder_award_id":"MOST105-2410-H182-007-MY3","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G794917778","display_name":null,"funder_award_id":"CMRPD2F0202","funder_id":"https://openalex.org/F4320313619","funder_display_name":"Chang Gung Memorial Hospital"}],"funders":[{"id":"https://openalex.org/F4320313619","display_name":"Chang Gung Memorial Hospital","ror":"https://ror.org/02verss31"},{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1668569279","https://openalex.org/W1748537427","https://openalex.org/W1829951598","https://openalex.org/W1965473535","https://openalex.org/W2013932252","https://openalex.org/W2035147186","https://openalex.org/W2195698653","https://openalex.org/W2272556930","https://openalex.org/W2346494717","https://openalex.org/W2739712640","https://openalex.org/W2741164764","https://openalex.org/W2741501259","https://openalex.org/W2743408393","https://openalex.org/W2753862205","https://openalex.org/W2765829946","https://openalex.org/W2792671092","https://openalex.org/W2800419962","https://openalex.org/W2800813855","https://openalex.org/W2800899235","https://openalex.org/W2801931701","https://openalex.org/W2802450030","https://openalex.org/W2803697580","https://openalex.org/W2805477634","https://openalex.org/W2810583685","https://openalex.org/W2811195812","https://openalex.org/W6653793587","https://openalex.org/W6741811077"],"related_works":["https://openalex.org/W2995447873","https://openalex.org/W2011472225","https://openalex.org/W3000057026","https://openalex.org/W3048565508","https://openalex.org/W2931602588","https://openalex.org/W3163984363","https://openalex.org/W4205262062","https://openalex.org/W2002629668","https://openalex.org/W181477314","https://openalex.org/W1986265453"],"abstract_inverted_index":{"This":[0],"paper":[1,74,120],"aims":[2],"to":[3,53,80,110,131],"present":[4],"a":[5,33,90,152,168],"novel":[6,34],"outranking":[7,146],"approach":[8,147,179],"of":[9,45,100,159,182],"the":[10,43,54,62,69,82,98,107,156,173,177],"preference":[11,67,78,102],"ranking":[12,129],"organization":[13],"method":[14,31],"for":[15,24,114],"enrichment":[16],"evaluations":[17],"(PROMETHEEs)":[18],"based":[19,41,85],"on":[20,42,86],"Pythagorean":[21,35,56,70,95,123,143],"fuzzy":[22,36,57,71,96,124,144],"sets":[23],"multiple":[25,91],"criteria":[26,92],"decision":[27],"analysis.":[28],"The":[29,141,163],"proposed":[30,174],"utilizes":[32],"precedence":[37,83],"index,":[38],"which":[39],"is":[40,104,148],"difference":[44],"scalar":[46],"functions":[47,79],"under":[48,94],"anchored":[49],"judgments":[50],"with":[51,167],"respect":[52],"superiority/inferiority":[55],"numbers.":[58],"To":[59],"appropriately":[60],"describe":[61],"hesitation":[63],"between":[64],"indifference":[65],"and":[66,127,134,184],"in":[68,180],"context,":[72],"this":[73,119],"introduces":[75],"useful":[76],"precedence-based":[77],"establish":[81],"relations":[84],"pairwise":[87],"comparisons.":[88],"As":[89],"measure":[93],"uncertainty,":[97],"concept":[99],"overall":[101],"indices":[103],"identified":[105],"at":[106],"aggregation":[108],"stage":[109],"exploit":[111],"certain":[112],"rules":[113],"generating":[115],"PROMETHEE":[116,125],"flows.":[117],"Next,":[118],"provides":[121],"effective":[122],"I":[126],"II":[128],"procedures":[130],"determine":[132],"partial":[133],"complete":[135],"preorders,":[136],"respectively,":[137],"among":[138],"competing":[139],"alternatives.":[140],"developed":[142],"PROMETHEE-based":[145],"comparatively":[149],"validated":[150],"using":[151],"real-world":[153],"application":[154],"concerning":[155],"selection":[157],"problem":[158],"bridge":[160],"construction":[161],"methods.":[162],"solution":[164],"results":[165],"along":[166],"comparison":[169],"analysis":[170],"demonstrate":[171],"that":[172],"methodology":[175],"outperforms":[176],"comparative":[178],"terms":[181],"reasonability":[183],"stability.":[185]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":9}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
