{"id":"https://openalex.org/W3165488732","doi":"https://doi.org/10.1002/int.22453","title":"Prospect\u2010theory and geometric distance measure\u2010based Pythagorean cubic fuzzy multicriteria decision\u2010making","display_name":"Prospect\u2010theory and geometric distance measure\u2010based Pythagorean cubic fuzzy multicriteria decision\u2010making","publication_year":2021,"publication_date":"2021-05-26","ids":{"openalex":"https://openalex.org/W3165488732","doi":"https://doi.org/10.1002/int.22453","mag":"3165488732"},"language":"en","primary_location":{"id":"doi:10.1002/int.22453","is_oa":false,"landing_page_url":"https://doi.org/10.1002/int.22453","pdf_url":null,"source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Intelligent 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/A5100455799","display_name":"Fei Wang","orcid":"https://orcid.org/0000-0002-1917-820X"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fei Wang","raw_affiliation_strings":["School of Economics and Management Yanshan University  Qinhuangdao China","School of Economics and Management, Yanshan University, Qinhuangdao, China"],"raw_orcid":"https://orcid.org/0000-0002-1917-820X","affiliations":[{"raw_affiliation_string":"School of Economics and Management Yanshan University  Qinhuangdao China","institution_ids":["https://openalex.org/I39333907"]},{"raw_affiliation_string":"School of Economics and Management, Yanshan University, Qinhuangdao, China","institution_ids":["https://openalex.org/I39333907"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101766554","display_name":"Xiaodong Zhao","orcid":"https://orcid.org/0000-0001-8863-6027"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaodong Zhao","raw_affiliation_strings":["School of Humanities and Law Yanshan University  Qinhuangdao China","School of Humanities and Law, Yanshan University, Qinhuangdao, China"],"raw_orcid":"https://orcid.org/0000-0001-8863-6027","affiliations":[{"raw_affiliation_string":"School of Humanities and Law Yanshan University  Qinhuangdao China","institution_ids":["https://openalex.org/I39333907"]},{"raw_affiliation_string":"School of Humanities and Law, Yanshan University, Qinhuangdao, China","institution_ids":["https://openalex.org/I39333907"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101766554"],"corresponding_institution_ids":["https://openalex.org/I39333907"],"apc_list":{"value":2500,"currency":"USD","value_usd":2500},"apc_paid":null,"fwci":2.8719,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.90584957,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"36","issue":"8","first_page":"4117","last_page":"4142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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":0.98580002784729,"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":0.9836999773979187,"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/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.8736245632171631},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6423007845878601},{"id":"https://openalex.org/keywords/multiple-criteria-decision-analysis","display_name":"Multiple-criteria decision analysis","score":0.6212117671966553},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5750434398651123},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5155620574951172},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5017812252044678},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4953536093235016},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4621831178665161},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45438942313194275},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45405322313308716},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.4209184944629669},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4194110631942749},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.38556939363479614},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24522727727890015},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18202105164527893}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.8736245632171631},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6423007845878601},{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.6212117671966553},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5750434398651123},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5155620574951172},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5017812252044678},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4953536093235016},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4621831178665161},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45438942313194275},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45405322313308716},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.4209184944629669},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4194110631942749},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.38556939363479614},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24522727727890015},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18202105164527893},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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:10.1002/int.22453","is_oa":false,"landing_page_url":"https://doi.org/10.1002/int.22453","pdf_url":null,"source":{"id":"https://openalex.org/S57950554","display_name":"International Journal of Intelligent Systems","issn_l":"0884-8173","issn":["0884-8173","1098-111X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Intelligent Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W1668569279","https://openalex.org/W1765570948","https://openalex.org/W1829951598","https://openalex.org/W1971875039","https://openalex.org/W1980564456","https://openalex.org/W1982034525","https://openalex.org/W2013932252","https://openalex.org/W2026244788","https://openalex.org/W2041946752","https://openalex.org/W2063606741","https://openalex.org/W2073259130","https://openalex.org/W2079767857","https://openalex.org/W2087501680","https://openalex.org/W2116321937","https://openalex.org/W2145494915","https://openalex.org/W2201498186","https://openalex.org/W2273432898","https://openalex.org/W2292359941","https://openalex.org/W2347438100","https://openalex.org/W2414387118","https://openalex.org/W2558067512","https://openalex.org/W2595406791","https://openalex.org/W2735507034","https://openalex.org/W2756107921","https://openalex.org/W2769278513","https://openalex.org/W2787988918","https://openalex.org/W2791638390","https://openalex.org/W2802603327","https://openalex.org/W2806570248","https://openalex.org/W2898680027","https://openalex.org/W2912582199","https://openalex.org/W2915483039","https://openalex.org/W2922982510","https://openalex.org/W2934088052","https://openalex.org/W2942673108","https://openalex.org/W2944493095","https://openalex.org/W2954680088","https://openalex.org/W2955575413","https://openalex.org/W2961709489","https://openalex.org/W2998470600","https://openalex.org/W3009151202","https://openalex.org/W3011865677","https://openalex.org/W3012345100","https://openalex.org/W3037657400","https://openalex.org/W3043329660","https://openalex.org/W3048070941","https://openalex.org/W4211007335","https://openalex.org/W4230733346","https://openalex.org/W4238605076","https://openalex.org/W6643186835","https://openalex.org/W7019913514"],"related_works":["https://openalex.org/W2995447873","https://openalex.org/W1802380781","https://openalex.org/W4378767041","https://openalex.org/W4210969441","https://openalex.org/W1976617664","https://openalex.org/W3038608274","https://openalex.org/W1990851617","https://openalex.org/W3013738389","https://openalex.org/W2971180812","https://openalex.org/W3160516639"],"abstract_inverted_index":{"The":[0,76,107,118,154],"Pythagorean":[1,11,14,20,23],"cubic":[2],"fuzzy":[3,15,24],"set":[4],"(PCFS)":[5],"describes":[6],"a":[7,164],"mixture":[8],"of":[9,41,71,85,122,134,158,202],"interval":[10,22],"information":[12,29],"and":[13,21,48,67,82,87,94,102,137,151,156,176,206],"values.":[16],"Compared":[17],"to":[18,90,112,171,195,217],"the":[19,39,64,69,72,80,100,114,132,135,148,182,193,203,213],"sets,":[25],"PCFS":[26,43,62,73],"contains":[27],"comprehensive":[28],"suitable":[30],"for":[31],"solving":[32],"complex":[33],"multicriteria":[34],"decision-making":[35],"(MCDM)":[36],"problems.":[37,198],"However,":[38],"use":[40,70],"existing":[42,210],"comparison":[44,208],"tools,":[45],"including":[46],"score-function":[47],"distance-measurement,":[49],"is":[50,110],"impractical":[51],"in":[52],"some":[53],"cases.":[54],"To":[55],"address":[56],"this":[57,59,159],"concern,":[58],"study":[60,166],"transforms":[61],"into":[63],"geometric":[65],"form,":[66],"proposes":[68],"geometric-distance":[74],"measurements.":[75],"proposed":[77,183,214],"method":[78],"requires":[79],"maximum":[81],"minimum":[83],"values":[84],"membership":[86],"nonmembership":[88],"degrees":[89],"be":[91],"considered":[92],"positive":[93,136],"negative":[95,138],"reference":[96],"points,":[97],"respectively.":[98],"Moreover,":[99],"gain":[101],"loss":[103],"matrices":[104],"are":[105,128,161],"constructed.":[106],"risk-preference":[108,204],"coefficient":[109,205],"introduced":[111],"improve":[113],"original":[115],"prospect-value":[116],"expression.":[117],"final":[119],"ranking":[120],"results":[121],"decision-makers":[123],"considering":[124],"several":[125],"risk":[126],"preferences":[127],"presented":[129],"by":[130],"balancing":[131],"proportion":[133],"prospect":[139,152],"values,":[140],"thereby":[141,191],"constructing":[142],"an":[143],"MCDM":[144,215],"model":[145,160,184,216],"based":[146],"on":[147],"PCFS-geometric-distance":[149],"measure":[150],"theory.":[153],"feasibility":[155],"practicality":[157],"validated":[162],"via":[163],"case":[165],"concerning":[167],"urban":[168,188],"human":[169,189],"settlements":[170],"ensure":[172],"satisfactory":[173],"housing":[174],"conditions":[175],"appropriate":[177],"infrastructure":[178],"development.":[179],"As":[180],"observed,":[181],"can":[185],"adequately":[186],"evaluate":[187],"settlements,":[190],"demonstrating":[192],"potential":[194],"solve":[196],"similar":[197],"A":[199],"sensitivity":[200],"analysis":[201],"subsequent":[207],"against":[209],"methods":[211],"reveal":[212],"yield":[218],"convincing":[219],"results.":[220]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":5}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}