{"id":"https://openalex.org/W1945795130","doi":"https://doi.org/10.3233/ifs-151937","title":"A mathematical model of ternary fuzzy set for voting","display_name":"A mathematical model of ternary fuzzy set for voting","publication_year":2015,"publication_date":"2015-11-02","ids":{"openalex":"https://openalex.org/W1945795130","doi":"https://doi.org/10.3233/ifs-151937","mag":"1945795130"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-151937","is_oa":true,"landing_page_url":"https://doi.org/10.3233/ifs-151937","pdf_url":"https://content.iospress.com:443/download/journal-of-intelligent-and-fuzzy-systems/ifs1937?id=journal-of-intelligent-and-fuzzy-systems%2Fifs1937","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","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":true,"oa_status":"hybrid","oa_url":"https://content.iospress.com:443/download/journal-of-intelligent-and-fuzzy-systems/ifs1937?id=journal-of-intelligent-and-fuzzy-systems%2Fifs1937","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100698386","display_name":"Chao Wang","orcid":"https://orcid.org/0000-0002-6423-0732"},"institutions":[{"id":"https://openalex.org/I106079672","display_name":"Hebei University of Engineering","ror":"https://ror.org/036h65h05","country_code":"CN","type":"education","lineage":["https://openalex.org/I106079672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chao Wang","raw_affiliation_strings":["School of Economics and Management, Hebei University of Engineering, Handan, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Hebei University of Engineering, Handan, P.R. China","institution_ids":["https://openalex.org/I106079672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103221923","display_name":"Ming-Hu Ha","orcid":"https://orcid.org/0000-0002-7043-4811"},"institutions":[{"id":"https://openalex.org/I106079672","display_name":"Hebei University of Engineering","ror":"https://ror.org/036h65h05","country_code":"CN","type":"education","lineage":["https://openalex.org/I106079672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Minghu Ha","raw_affiliation_strings":["School of Economics and Management, Hebei University of Engineering, Handan, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Hebei University of Engineering, Handan, P.R. China","institution_ids":["https://openalex.org/I106079672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100390771","display_name":"Xiaowei Liu","orcid":"https://orcid.org/0000-0003-2074-3760"},"institutions":[{"id":"https://openalex.org/I106079672","display_name":"Hebei University of Engineering","ror":"https://ror.org/036h65h05","country_code":"CN","type":"education","lineage":["https://openalex.org/I106079672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaowei Liu","raw_affiliation_strings":["School of Science, Hebei University of Engineering, Handan, P.R. China","Fax: +86 0310 8579089","E-mail:"],"affiliations":[{"raw_affiliation_string":"School of Science, Hebei University of Engineering, Handan, P.R. China","institution_ids":["https://openalex.org/I106079672"]},{"raw_affiliation_string":"Fax: +86 0310 8579089","institution_ids":[]},{"raw_affiliation_string":"E-mail:","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100698386"],"corresponding_institution_ids":["https://openalex.org/I106079672"],"apc_list":null,"apc_paid":null,"fwci":0.412,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69781547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"29","issue":"6","first_page":"2381","last_page":"2386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9747999906539917,"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/T11106","display_name":"Data Management and Algorithms","score":0.9571999907493591,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/ternary-operation","display_name":"Ternary operation","score":0.6326244473457336},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.6131458282470703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5443406701087952},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48364293575286865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35375452041625977},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0731579065322876},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.037258923053741455}],"concepts":[{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.6326244473457336},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.6131458282470703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5443406701087952},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48364293575286865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35375452041625977},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0731579065322876},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.037258923053741455},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-151937","is_oa":true,"landing_page_url":"https://doi.org/10.3233/ifs-151937","pdf_url":"https://content.iospress.com:443/download/journal-of-intelligent-and-fuzzy-systems/ifs1937?id=journal-of-intelligent-and-fuzzy-systems%2Fifs1937","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3233/ifs-151937","is_oa":true,"landing_page_url":"https://doi.org/10.3233/ifs-151937","pdf_url":"https://content.iospress.com:443/download/journal-of-intelligent-and-fuzzy-systems/ifs1937?id=journal-of-intelligent-and-fuzzy-systems%2Fifs1937","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1062878278","display_name":null,"funder_award_id":"12201033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4784730566","display_name":null,"funder_award_id":"A2012201033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5162168836","display_name":null,"funder_award_id":"F2015402033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6693605761","display_name":null,"funder_award_id":"61073121","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1945795130.pdf","grobid_xml":"https://content.openalex.org/works/W1945795130.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W4369310","https://openalex.org/W1971875039","https://openalex.org/W1979534271","https://openalex.org/W1980564456","https://openalex.org/W1991282593","https://openalex.org/W2050539525","https://openalex.org/W2053405721","https://openalex.org/W2054100102","https://openalex.org/W2065708906","https://openalex.org/W2079491633","https://openalex.org/W2083141276","https://openalex.org/W2122937236","https://openalex.org/W2144371464","https://openalex.org/W2144832785","https://openalex.org/W2386290474","https://openalex.org/W2912565176","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2317200988","https://openalex.org/W2376932109","https://openalex.org/W2382290278","https://openalex.org/W2350741829"],"abstract_inverted_index":{"Intuitionistic":[0],"fuzzy":[1,47,51,75,79],"sets":[2],"can":[3],"effectively":[4],"deal":[5],"with":[6],"the":[7,40,43,56,73,81,84],"support":[8],"information,":[9],"opposition":[10],"information":[11,14,28],"and":[12,49,55,61,77],"abstention":[13],"of":[15,29,45,83],"candidates":[16],"in":[17,33],"many":[18],"voting.":[19,35],"However,":[20],"it":[21],"may":[22],"be":[23],"hardly":[24],"to":[25,38],"handle":[26,39],"some":[27,34],"voting":[30,68],"for":[31,67],"non-candidates":[32],"In":[36],"order":[37],"aforementioned":[41],"problem,":[42],"concept":[44],"ternary":[46,50,74,78],"set":[48,76],"number":[52],"are":[53,59],"defined,":[54],"corresponding":[57],"operations":[58],"given":[60],"discussed.":[62],"Then,":[63],"a":[64],"mathematical":[65],"model":[66,85],"is":[69,86],"established":[70],"based":[71],"on":[72],"number,":[80],"effectiveness":[82],"verified":[87],"by":[88],"an":[89],"example.":[90]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}