{"id":"https://openalex.org/W2998470600","doi":"https://doi.org/10.3233/jifs-191089","title":"Extended topsis method based on Pythagorean cubic fuzzy multi-criteria decision making with incomplete weight information","display_name":"Extended topsis method based on Pythagorean cubic fuzzy multi-criteria decision making with incomplete weight information","publication_year":2019,"publication_date":"2019-12-28","ids":{"openalex":"https://openalex.org/W2998470600","doi":"https://doi.org/10.3233/jifs-191089","mag":"2998470600"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-191089","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-191089","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/A5026770895","display_name":"Madad Khan","orcid":"https://orcid.org/0000-0003-0044-961X"},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Sajjad Ali Khan","raw_affiliation_strings":["Department of Mathematics and Statistics, Hazara University, Mansehra, KPK, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hazara University, Mansehra, KPK, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037217269","display_name":"Faisal Khan","orcid":"https://orcid.org/0000-0002-5031-6121"},"institutions":[{"id":"https://openalex.org/I188760350","display_name":"Ollscoil na Gaillimhe \u2013 University of Galway","ror":"https://ror.org/03bea9k73","country_code":"IE","type":"education","lineage":["https://openalex.org/I188760350"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Faisal Khan","raw_affiliation_strings":["College of Engineering and Informatics, National University Ireland, Galway, Ireland"],"affiliations":[{"raw_affiliation_string":"College of Engineering and Informatics, National University Ireland, Galway, Ireland","institution_ids":["https://openalex.org/I188760350"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029996716","display_name":"Joseph Lemley","orcid":"https://orcid.org/0000-0002-0595-2313"},"institutions":[{"id":"https://openalex.org/I188760350","display_name":"Ollscoil na Gaillimhe \u2013 University of Galway","ror":"https://ror.org/03bea9k73","country_code":"IE","type":"education","lineage":["https://openalex.org/I188760350"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Joseph Lemley","raw_affiliation_strings":["College of Engineering and Informatics, National University Ireland, Galway, Ireland"],"affiliations":[{"raw_affiliation_string":"College of Engineering and Informatics, National University Ireland, Galway, Ireland","institution_ids":["https://openalex.org/I188760350"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077817609","display_name":"Saleem Abdullah","orcid":"https://orcid.org/0000-0002-7474-5115"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Saleem Abdullah","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063184842","display_name":"Fawad Hussain","orcid":"https://orcid.org/0000-0002-3050-8564"},"institutions":[{"id":"https://openalex.org/I3131573596","display_name":"Abbottabad University of Science and Technology","ror":"https://ror.org/0549hdw45","country_code":"PK","type":"education","lineage":["https://openalex.org/I3131573596"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Fawad Hussain","raw_affiliation_strings":["Department of Mathematics, Abbottabad University of Science and Technology Abbottabad, KPK, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abbottabad University of Science and Technology Abbottabad, KPK, Pakistan","institution_ids":["https://openalex.org/I3131573596"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5077817609"],"corresponding_institution_ids":["https://openalex.org/I181063083"],"apc_list":null,"apc_paid":null,"fwci":3.1689,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.92114794,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"38","issue":"2","first_page":"2285","last_page":"2296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9746000170707703,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.8359351754188538},{"id":"https://openalex.org/keywords/topsis","display_name":"TOPSIS","score":0.7636740207672119},{"id":"https://openalex.org/keywords/multiple-criteria-decision-analysis","display_name":"Multiple-criteria decision analysis","score":0.7572745084762573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5937010645866394},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.57845139503479},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5279361605644226},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4746975302696228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4020678997039795},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.29178446531295776},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2337244749069214}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.8359351754188538},{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.7636740207672119},{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.7572745084762573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5937010645866394},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.57845139503479},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5279361605644226},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4746975302696228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4020678997039795},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.29178446531295776},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2337244749069214},{"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-191089","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-191089","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":[{"score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1668569279","https://openalex.org/W1829951598","https://openalex.org/W1963106730","https://openalex.org/W1971875039","https://openalex.org/W1980564456","https://openalex.org/W2004547246","https://openalex.org/W2013932252","https://openalex.org/W2057286464","https://openalex.org/W2071657601","https://openalex.org/W2079457935","https://openalex.org/W2086337028","https://openalex.org/W2104849961","https://openalex.org/W2272905257","https://openalex.org/W2346494717","https://openalex.org/W2412590235","https://openalex.org/W2565232501","https://openalex.org/W2591222206","https://openalex.org/W2753862205","https://openalex.org/W2765801959","https://openalex.org/W2773008388","https://openalex.org/W2773588687","https://openalex.org/W2784809004","https://openalex.org/W2800899235","https://openalex.org/W2801931701","https://openalex.org/W2808071590","https://openalex.org/W2810449588","https://openalex.org/W2811195812","https://openalex.org/W2891953200","https://openalex.org/W2894919183","https://openalex.org/W2900337413","https://openalex.org/W2901306906","https://openalex.org/W2902310949","https://openalex.org/W2906568202","https://openalex.org/W2915483039","https://openalex.org/W2947345116","https://openalex.org/W2964219651","https://openalex.org/W2970641691","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2998470600","https://openalex.org/W2209888997","https://openalex.org/W3118538784","https://openalex.org/W4223514112","https://openalex.org/W2803124234","https://openalex.org/W4321496560","https://openalex.org/W2184989861","https://openalex.org/W2621058533","https://openalex.org/W4309006057","https://openalex.org/W4321499359"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,70],"this":[3],"article":[4],"is":[5,34,53,62,79],"to":[6,11,36,64,81],"propose":[7],"a":[8,50,59,75],"new":[9],"technique":[10],"Pythagorean":[12],"cubic":[13],"fuzzy":[14],"(PCF)":[15],"multiple":[16],"criteria":[17,39],"decision":[18],"making":[19],"(MCDM)":[20],"using":[21,55],"the":[22,30,38,42,47,66,71,83,87],"Topsis":[23],"method":[24],"with":[25,86],"incomplete":[26],"weight":[27],"information.":[28,57,73],"Firstly,":[29],"maximum":[31],"deviation":[32],"model":[33],"proposed":[35,54,72],"find":[37],"for":[40],"determining":[41],"optimal":[43],"weights.":[44],"Based":[45],"on":[46],"developed":[48],"method,":[49],"MCDM":[51],"approach":[52],"PCF":[56],"Furthermore,":[58],"numerical":[60],"example":[61],"presented":[63],"show":[65],"feasibility":[67],"and":[68],"effectiveness":[69],"Finally,":[74],"systematic":[76],"evaluation":[77],"analysis":[78],"given":[80],"compare":[82],"present":[84],"work":[85],"existing":[88],"work.":[89]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}