{"id":"https://openalex.org/W2980905588","doi":"https://doi.org/10.3233/jifs-190905","title":"Pythagorean fuzzy soft MCGDM methods based on TOPSIS, VIKOR and aggregation operators","display_name":"Pythagorean fuzzy soft MCGDM methods based on TOPSIS, VIKOR and aggregation operators","publication_year":2019,"publication_date":"2019-10-11","ids":{"openalex":"https://openalex.org/W2980905588","doi":"https://doi.org/10.3233/jifs-190905","mag":"2980905588"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-190905","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-190905","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/A5028670103","display_name":"Khalid Naeem","orcid":"https://orcid.org/0000-0003-4614-5689"},"institutions":[{"id":"https://openalex.org/I142204992","display_name":"University of Lahore","ror":"https://ror.org/051jrjw38","country_code":"PK","type":"education","lineage":["https://openalex.org/I142204992"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Khalid Naeem","raw_affiliation_strings":["Department of Mathematics & Statistics, The University of Lahore, Lahore, Pakistan","Department of Mathematics & Statistics, The University of Lahore, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, The University of Lahore, Lahore, Pakistan","institution_ids":["https://openalex.org/I142204992"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, The University of Lahore, Lahore, Pakistan","institution_ids":["https://openalex.org/I142204992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049665961","display_name":"Muhammad Riaz","orcid":"https://orcid.org/0000-0001-8115-9168"},"institutions":[{"id":"https://openalex.org/I172780181","display_name":"University of the Punjab","ror":"https://ror.org/011maz450","country_code":"PK","type":"education","lineage":["https://openalex.org/I172780181"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Riaz","raw_affiliation_strings":["Department of Mathematics, University of the Punjab, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Punjab, Lahore, Pakistan","institution_ids":["https://openalex.org/I172780181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086232209","display_name":"Xindong Peng","orcid":"https://orcid.org/0000-0001-9080-6267"},"institutions":[{"id":"https://openalex.org/I3130751423","display_name":"Shaoguan University","ror":"https://ror.org/0286g6711","country_code":"CN","type":"education","lineage":["https://openalex.org/I3130751423"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xindong Peng","raw_affiliation_strings":["School of Information Science and Engineering, Shaoguan University, Shaoguan, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shaoguan University, Shaoguan, Guangdong, China","institution_ids":["https://openalex.org/I3130751423"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024827317","display_name":"Deeba Afzal","orcid":"https://orcid.org/0000-0001-5268-7260"},"institutions":[{"id":"https://openalex.org/I142204992","display_name":"University of Lahore","ror":"https://ror.org/051jrjw38","country_code":"PK","type":"education","lineage":["https://openalex.org/I142204992"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Deeba Afzal","raw_affiliation_strings":["Department of Mathematics & Statistics, The University of Lahore, Lahore, Pakistan","Department of Mathematics & Statistics, The University of Lahore, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, The University of Lahore, Lahore, Pakistan","institution_ids":["https://openalex.org/I142204992"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, The University of Lahore, Lahore, Pakistan","institution_ids":["https://openalex.org/I142204992"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5028670103"],"corresponding_institution_ids":["https://openalex.org/I142204992"],"apc_list":null,"apc_paid":null,"fwci":13.3752,"has_fulltext":false,"cited_by_count":100,"citation_normalized_percentile":{"value":0.989932,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"37","issue":"5","first_page":"6937","last_page":"6957"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9991999864578247,"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":0.9991999864578247,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9959999918937683,"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":0.992900013923645,"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/topsis","display_name":"TOPSIS","score":0.8373798727989197},{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.7876929044723511},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.606340229511261},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5843203067779541},{"id":"https://openalex.org/keywords/vikor-method","display_name":"VIKOR method","score":0.5693738460540771},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5384327173233032},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3930791914463043},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3462735712528229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3045698404312134},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.26652562618255615}],"concepts":[{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.8373798727989197},{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.7876929044723511},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.606340229511261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5843203067779541},{"id":"https://openalex.org/C172438850","wikidata":"https://www.wikidata.org/wiki/Q7907019","display_name":"VIKOR method","level":3,"score":0.5693738460540771},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5384327173233032},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3930791914463043},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3462735712528229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3045698404312134},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.26652562618255615},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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":1,"locations":[{"id":"doi:10.3233/jifs-190905","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-190905","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W38708963","https://openalex.org/W194786220","https://openalex.org/W1542837303","https://openalex.org/W1668569279","https://openalex.org/W1829951598","https://openalex.org/W1978352585","https://openalex.org/W1980564456","https://openalex.org/W1987177581","https://openalex.org/W1999693983","https://openalex.org/W2013932252","https://openalex.org/W2023769726","https://openalex.org/W2035431054","https://openalex.org/W2042560256","https://openalex.org/W2050090718","https://openalex.org/W2060907774","https://openalex.org/W2065363019","https://openalex.org/W2065815629","https://openalex.org/W2074193720","https://openalex.org/W2079457935","https://openalex.org/W2083267403","https://openalex.org/W2104077967","https://openalex.org/W2157041604","https://openalex.org/W2268864911","https://openalex.org/W2374072881","https://openalex.org/W2506768821","https://openalex.org/W2520155300","https://openalex.org/W2527615072","https://openalex.org/W2551196604","https://openalex.org/W2589233777","https://openalex.org/W2604107963","https://openalex.org/W2788853942","https://openalex.org/W2792903266","https://openalex.org/W2793524490","https://openalex.org/W2805477634","https://openalex.org/W2885303467","https://openalex.org/W2885877913","https://openalex.org/W2887823897","https://openalex.org/W2888583035","https://openalex.org/W2888642366","https://openalex.org/W2891457627","https://openalex.org/W2892143627","https://openalex.org/W2899462669","https://openalex.org/W2900960922","https://openalex.org/W2901776415","https://openalex.org/W2905455242","https://openalex.org/W2906424845","https://openalex.org/W2909048292","https://openalex.org/W2909916858","https://openalex.org/W2914206936","https://openalex.org/W2914878128","https://openalex.org/W2926198781","https://openalex.org/W2930412558","https://openalex.org/W2936157428","https://openalex.org/W2939616745","https://openalex.org/W2941509069","https://openalex.org/W2946488632","https://openalex.org/W2947861994","https://openalex.org/W2949657163","https://openalex.org/W2959247396","https://openalex.org/W2960922980","https://openalex.org/W2969969755","https://openalex.org/W2970463093","https://openalex.org/W2973218123","https://openalex.org/W2973775716","https://openalex.org/W2992501239","https://openalex.org/W4211007335","https://openalex.org/W4213100037","https://openalex.org/W4245152641","https://openalex.org/W4254853224","https://openalex.org/W4294902008","https://openalex.org/W4405441751","https://openalex.org/W6679780668","https://openalex.org/W6693091319","https://openalex.org/W7000612698"],"related_works":["https://openalex.org/W2347675019","https://openalex.org/W2367947563","https://openalex.org/W2890644467","https://openalex.org/W4387430003","https://openalex.org/W2293394021","https://openalex.org/W1990029659","https://openalex.org/W3135485754","https://openalex.org/W1964756304","https://openalex.org/W2913741139","https://openalex.org/W2944957012"],"abstract_inverted_index":{"We":[0,19,52,76],"study,":[1],"in":[2,113],"this":[3],"paper,":[4],"some":[5],"notions":[6],"related":[7,66],"to":[8,38,58,67,97],"Pythagorean":[9,47],"fuzzy":[10,48],"soft":[11,49],"sets":[12],"(PFSSs)":[13],"along":[14],"with":[15,31],"their":[16,25],"algebraic":[17],"structures.":[18],"present":[20,53],"operations":[21],"on":[22,46],"PFSSs":[23,57],"and":[24,28,35,73,81,100,118,125],"peculiar":[26],"characteristics":[27],"elaborate":[29],"them":[30],"real":[32],"life":[33],"examples":[34],"tabular":[36],"representation":[37],"develop":[39,77],"the":[40,59,88],"affluence":[41],"of":[42,56,87,93],"linguistic":[43],"variables":[44],"based":[45],"(PFS)":[50],"information.":[51],"an":[54,111],"application":[55,112],"multi-criteria":[60],"group":[61],"decision-making":[62],"(":[63],"MCGDM":[64],")":[65],"site":[68],"selection,":[69],"accompanied":[70],"by":[71,95,121],"Algorithm":[72],"flow":[74],"chart.":[75],"PFS":[78,82,123,126],"TOPSIS":[79,89,124],"method":[80,84],"VIKOR":[83,101,127],"as":[85],"extensions":[86],"(Technique":[90],"for":[91],"Order":[92],"Preference":[94],"Similarity":[96],"Ideal":[98],"Solution)":[99],"(Vlse":[102],"Kriterijumska":[103],"Optimizacija":[104],"Kompromisno":[105],"Resenje)":[106],"respectively.":[107],"Finally,":[108],"we":[109],"rendered":[110],"stock":[114],"exchange":[115],"investment":[116],"problem":[117],"tackled":[119],"it":[120],"both":[122],"methods.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":23},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}