{"id":"https://openalex.org/W2030707118","doi":"https://doi.org/10.1142/s0218488514500202","title":"On Compatibility of Interval Multiplicative Preference Relations Based on the COWGA Operator","display_name":"On Compatibility of Interval Multiplicative Preference Relations Based on the COWGA Operator","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2030707118","doi":"https://doi.org/10.1142/s0218488514500202","mag":"2030707118"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488514500202","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488514500202","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based 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/A5005456443","display_name":"Ligang Zhou","orcid":"https://orcid.org/0000-0002-8512-6125"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ligang Zhou","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China","School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China#TAB#","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101466853","display_name":"Yingdong He","orcid":"https://orcid.org/0000-0002-9053-9565"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingdong He","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China","School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China#TAB#","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004641057","display_name":"Huayou Chen","orcid":"https://orcid.org/0000-0002-7312-0367"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huayou Chen","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China","School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China#TAB#","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005697228","display_name":"Jinpei Liu","orcid":"https://orcid.org/0000-0002-0658-6247"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinpei Liu","raw_affiliation_strings":["School of Business, Anhui University, Hefei, Anhui 230601, China","School of Business, Anhui University, Hefei, Anhui 230601, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business, Anhui University, Hefei, Anhui 230601, China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Business, Anhui University, Hefei, Anhui 230601, China#TAB#","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":2.0561,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.87515693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"03","first_page":"407","last_page":"428"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9609000086784363,"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/multiplicative-function","display_name":"Multiplicative function","score":0.8350221514701843},{"id":"https://openalex.org/keywords/compatibility","display_name":"Compatibility (geochemistry)","score":0.8330404758453369},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6624271869659424},{"id":"https://openalex.org/keywords/preference-relation","display_name":"Preference relation","score":0.46163344383239746},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4318799376487732},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3806161880493164},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.333026647567749},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.3239095211029053},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21478310227394104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09921488165855408},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.061702340841293335}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.8350221514701843},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.8330404758453369},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6624271869659424},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.46163344383239746},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4318799376487732},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3806161880493164},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.333026647567749},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.3239095211029053},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21478310227394104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09921488165855408},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.061702340841293335},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488514500202","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488514500202","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W194786220","https://openalex.org/W279140054","https://openalex.org/W1521108275","https://openalex.org/W1533336287","https://openalex.org/W1966065860","https://openalex.org/W1967631404","https://openalex.org/W1968642553","https://openalex.org/W1973104643","https://openalex.org/W1978038284","https://openalex.org/W1978270727","https://openalex.org/W1978889792","https://openalex.org/W1979109952","https://openalex.org/W1982675899","https://openalex.org/W1986051247","https://openalex.org/W1993418540","https://openalex.org/W1993731375","https://openalex.org/W1997713472","https://openalex.org/W2000927263","https://openalex.org/W2003684370","https://openalex.org/W2006902036","https://openalex.org/W2010195188","https://openalex.org/W2012491224","https://openalex.org/W2024473012","https://openalex.org/W2025034329","https://openalex.org/W2040920346","https://openalex.org/W2041732575","https://openalex.org/W2045376424","https://openalex.org/W2050591637","https://openalex.org/W2050709486","https://openalex.org/W2056348485","https://openalex.org/W2057791961","https://openalex.org/W2060907774","https://openalex.org/W2063692924","https://openalex.org/W2065880721","https://openalex.org/W2065984263","https://openalex.org/W2071460834","https://openalex.org/W2096805502","https://openalex.org/W2127796445","https://openalex.org/W2145906330","https://openalex.org/W2147595926","https://openalex.org/W2159834454","https://openalex.org/W2164734181","https://openalex.org/W2286053803","https://openalex.org/W3081925372","https://openalex.org/W3142541398","https://openalex.org/W4251950542","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4205262062","https://openalex.org/W2408137423","https://openalex.org/W2022533988","https://openalex.org/W2096290915","https://openalex.org/W2790208073","https://openalex.org/W2016410556","https://openalex.org/W1595663582","https://openalex.org/W3122913338","https://openalex.org/W2387196575","https://openalex.org/W4232816123"],"abstract_inverted_index":{"The":[0,91],"aim":[1],"of":[2,43,69,94,111,123,130,163],"this":[3],"paper":[4],"is":[5,12,103],"to":[6,15,140,174,179],"develop":[7,175],"a":[8,171],"new":[9,177],"compatibility,":[10],"which":[11],"very":[13],"suitable":[14],"deal":[16,107],"with":[17,108,148,181],"group":[18],"decision":[19,124],"making":[20],"(GDM)":[21],"problems":[22],"involving":[23],"interval":[24,54,80,87,117,150,182],"multiplicative":[25,55,81,88,151,183],"preference":[26,56,82,89,152,184],"relations,":[27,153],"based":[28,58,98,159],"on":[29,59,99,160],"the":[30,44,48,52,60,70,75,85,95,100,109,113,120,128,131,142,146,149,161,165,176],"continuous":[31],"ordered":[32],"weighted":[33],"geometric":[34],"averaging":[35],"(COWGA)":[36],"operator.":[37,62],"First,":[38],"we":[39,64,154,169],"define":[40],"some":[41,66],"concepts":[42],"compatibility":[45,49,71,96,110,129,166],"degree":[46],"and":[47,73,84],"index":[50,72,97],"for":[51],"two":[53,116,132],"relations":[57],"COWGA":[61,101],"Then,":[63],"study":[65],"desirable":[67],"properties":[68],"investigate":[74],"relationship":[76],"between":[77],"each":[78],"expert's":[79],"relation":[83],"synthetic":[86],"relation.":[90],"prominent":[92],"characteristic":[93],"operator":[102],"that":[104],"it":[105],"can":[106],"all":[112],"arguments":[114,118],"in":[115,135,138,145],"considering":[119],"risk":[121],"attitude":[122],"maker":[125],"rather":[126],"than":[127],"simple":[133],"points":[134],"intervals.":[136],"Second,":[137],"order":[139],"determine":[141],"experts'":[143],"weights":[144],"GDM":[147,180],"propose":[155],"an":[156],"optimal":[157],"model":[158],"criterion":[162],"minimizing":[164],"index.":[167],"Finally,":[168],"give":[170],"numerical":[172],"example":[173],"approach":[178],"relations.":[185]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
