{"id":"https://openalex.org/W2783146515","doi":"https://doi.org/10.1109/iske.2017.8258763","title":"A new ranking method for Pythagorean fuzzy numbers","display_name":"A new ranking method for Pythagorean fuzzy numbers","publication_year":2017,"publication_date":"2017-11-01","ids":{"openalex":"https://openalex.org/W2783146515","doi":"https://doi.org/10.1109/iske.2017.8258763","mag":"2783146515"},"language":"en","primary_location":{"id":"doi:10.1109/iske.2017.8258763","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iske.2017.8258763","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 12th International Conference on Intelligent Systems and Knowledge Engineering (ISKE)","raw_type":"proceedings-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/A5018712863","display_name":"Shu\u2010Ping Wan","orcid":"https://orcid.org/0000-0001-6504-9700"},"institutions":[{"id":"https://openalex.org/I59649739","display_name":"Jiangxi University of Finance and Economics","ror":"https://ror.org/03efmyj29","country_code":"CN","type":"education","lineage":["https://openalex.org/I59649739"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shu-Ping Wan","raw_affiliation_strings":["College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China"],"affiliations":[{"raw_affiliation_string":"College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China","institution_ids":["https://openalex.org/I59649739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108054506","display_name":"Jin Zhen","orcid":"https://orcid.org/0000-0002-2534-3355"},"institutions":[{"id":"https://openalex.org/I141103825","display_name":"Nanchang Institute of Technology","ror":"https://ror.org/00avfj807","country_code":"CN","type":"education","lineage":["https://openalex.org/I141103825"]},{"id":"https://openalex.org/I59649739","display_name":"Jiangxi University of Finance and Economics","ror":"https://ror.org/03efmyj29","country_code":"CN","type":"education","lineage":["https://openalex.org/I59649739"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Jin","raw_affiliation_strings":["College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China","School of Science, Nanchang Institute of Technology, Nanchang, China"],"affiliations":[{"raw_affiliation_string":"College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China","institution_ids":["https://openalex.org/I59649739"]},{"raw_affiliation_string":"School of Science, Nanchang Institute of Technology, Nanchang, China","institution_ids":["https://openalex.org/I141103825"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066443850","display_name":"Feng Wang","orcid":"https://orcid.org/0000-0003-4980-239X"},"institutions":[{"id":"https://openalex.org/I59649739","display_name":"Jiangxi University of Finance and Economics","ror":"https://ror.org/03efmyj29","country_code":"CN","type":"education","lineage":["https://openalex.org/I59649739"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Wang","raw_affiliation_strings":["College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China"],"affiliations":[{"raw_affiliation_string":"College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China","institution_ids":["https://openalex.org/I59649739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108054506","display_name":"Jin Zhen","orcid":"https://orcid.org/0000-0002-2534-3355"},"institutions":[{"id":"https://openalex.org/I59649739","display_name":"Jiangxi University of Finance and Economics","ror":"https://ror.org/03efmyj29","country_code":"CN","type":"education","lineage":["https://openalex.org/I59649739"]},{"id":"https://openalex.org/I141103825","display_name":"Nanchang Institute of Technology","ror":"https://ror.org/00avfj807","country_code":"CN","type":"education","lineage":["https://openalex.org/I141103825"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Jin","raw_affiliation_strings":["College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China","School of Science, Nanchang Institute of Technology, Nanchang, China"],"affiliations":[{"raw_affiliation_string":"College of Information Technology, Jiangxi University of Finance and Economics, Nanchang, China","institution_ids":["https://openalex.org/I59649739"]},{"raw_affiliation_string":"School of Science, Nanchang Institute of Technology, Nanchang, China","institution_ids":["https://openalex.org/I141103825"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018712863"],"corresponding_institution_ids":["https://openalex.org/I59649739"],"apc_list":null,"apc_paid":null,"fwci":0.5167,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73123584,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9873999953269958,"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"}},{"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"}}],"keywords":[{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.6772001385688782},{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.6683542728424072},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6178333163261414},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5385313034057617},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5164161324501038},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4793742001056671},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.46540719270706177},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4592580199241638},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4239461421966553},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.38136401772499084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3676544427871704},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3399243652820587},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.273506224155426},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17712345719337463}],"concepts":[{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.6772001385688782},{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.6683542728424072},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6178333163261414},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5385313034057617},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5164161324501038},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4793742001056671},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.46540719270706177},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4592580199241638},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4239461421966553},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.38136401772499084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3676544427871704},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3399243652820587},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.273506224155426},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17712345719337463},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iske.2017.8258763","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iske.2017.8258763","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 12th International Conference on Intelligent Systems and Knowledge Engineering (ISKE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.800000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1668569279","https://openalex.org/W1829951598","https://openalex.org/W1971875039","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W1998274657","https://openalex.org/W2002852208","https://openalex.org/W2007528101","https://openalex.org/W2013932252","https://openalex.org/W2017846705","https://openalex.org/W2018250306","https://openalex.org/W2020158110","https://openalex.org/W2023725141","https://openalex.org/W2091943474","https://openalex.org/W2104077967","https://openalex.org/W2161739267","https://openalex.org/W2170729459","https://openalex.org/W2180978674","https://openalex.org/W2282429601","https://openalex.org/W2292359941","https://openalex.org/W2311142332","https://openalex.org/W2336163115","https://openalex.org/W2410679497","https://openalex.org/W2412590235","https://openalex.org/W2593530789","https://openalex.org/W2734452893","https://openalex.org/W2912565176","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2995447873","https://openalex.org/W1802380781","https://openalex.org/W4378767041","https://openalex.org/W4210969441","https://openalex.org/W4313271080","https://openalex.org/W1995054232","https://openalex.org/W2156910174","https://openalex.org/W1556709767","https://openalex.org/W2050612014","https://openalex.org/W3160516639"],"abstract_inverted_index":{"Pythagorean":[0,21],"fuzzy":[1,9,22,108],"set":[2],"(PFS),":[3],"as":[4,48],"an":[5,119,163],"extension":[6],"of":[7,73,79,89,91,100,115,125,157],"intuitionistic":[8],"set,":[10],"has":[11],"received":[12],"great":[13],"attention":[14],"in":[15],"decision":[16,31],"field.":[17],"How":[18],"to":[19,62,83,96],"rank":[20],"numbers":[23],"(PFNs)":[24],"is":[25,94,127,139,151],"a":[26],"critical":[27],"issue":[28],"during":[29],"the":[30,38,71,85,98,113,133,155],"process.":[32],"Thus,":[33],"this":[34],"paper":[35],"focuses":[36],"on":[37,154],"ranking":[39,52,147],"method":[40,148],"for":[41,54,143,149],"PFNs.":[42,92],"The":[43],"main":[44],"works":[45],"are":[46,56,60,81],"outlined":[47],"follows:":[49],"(1)":[50],"Existing":[51],"methods":[53],"PFNs":[55,150],"reviewed.":[57],"Some":[58],"examples":[59],"proposed":[61,128],"illustrate":[63],"their":[64],"limitations.":[65],"(2)":[66],"To":[67],"overcome":[68],"these":[69],"limitations,":[70],"concepts":[72],"knowledge":[74,158],"measure":[75],"and":[76,87,107,129,141,162],"information":[77,90,99,160],"reliability":[78,161],"PFN":[80,126],"presented":[82],"describe":[84],"amount":[86],"quality":[88],"It":[93],"comprehensive":[95],"involve":[97],"positive":[101],"ideal":[102,105],"point,":[103],"negative":[104],"point":[106],"point.":[109],"(3)":[110],"Motivated":[111],"by":[112],"concept":[114],"relative":[116,122,136,166],"closeness":[117,123,137,167],"degree,":[118],"arc-length":[120,134,164],"based":[121,135,165],"degree":[124,138],"interpreted":[130],"geometrically.":[131],"Moreover,":[132],"simple":[140],"convenient":[142],"calculation.":[144],"(4)":[145],"A":[146],"put":[152],"forward":[153],"basis":[156],"measure,":[159],"degree.":[168]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}