{"id":"https://openalex.org/W1725208984","doi":"https://doi.org/10.3233/ifs-130826","title":"Parameterized intuitionistic fuzzy trapezoidal operators and their application to multiple attribute group decision making","display_name":"Parameterized intuitionistic fuzzy trapezoidal operators and their application to multiple attribute group decision making","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1725208984","doi":"https://doi.org/10.3233/ifs-130826","mag":"1725208984"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-130826","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-130826","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/A5100328657","display_name":"Zhiming Zhang","orcid":"https://orcid.org/0000-0002-1462-4944"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiming Zhang","raw_affiliation_strings":["College of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, PR China","College of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, PR China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, PR China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"College of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, PR China#TAB#","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102133395","display_name":"Da-Zeng Tian","orcid":null},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dazeng Tian","raw_affiliation_strings":["College of Physics Science and Technology, Hebei University, Baoding, Hebei Province, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Physics Science and Technology, Hebei University, Baoding, Hebei Province, PR China","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100399836","display_name":"Kai Li","orcid":"https://orcid.org/0000-0001-9668-1645"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Li","raw_affiliation_strings":["College of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, PR China","College of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, PR China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, PR China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"College of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, PR China#TAB#","institution_ids":["https://openalex.org/I43337087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100328657"],"corresponding_institution_ids":["https://openalex.org/I43337087"],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":null,"fwci":0.3916,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66784489,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"26","issue":"3","first_page":"1401","last_page":"1431"},"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9735000133514404,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9383000135421753,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8799525499343872},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.7873047590255737},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5942581295967102},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.49826979637145996},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4912227988243103},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45976629853248596},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34359315037727356},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3257909417152405},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24563542008399963},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19076216220855713},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1555652916431427},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.07220068573951721},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.04612579941749573}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8799525499343872},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.7873047590255737},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5942581295967102},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.49826979637145996},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4912227988243103},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45976629853248596},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34359315037727356},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3257909417152405},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24563542008399963},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19076216220855713},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1555652916431427},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.07220068573951721},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.04612579941749573},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-130826","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-130826","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":0.8199999928474426,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W192378032","https://openalex.org/W1573176374","https://openalex.org/W1964109105","https://openalex.org/W1968642553","https://openalex.org/W1971875039","https://openalex.org/W1978889792","https://openalex.org/W1980564456","https://openalex.org/W1980884732","https://openalex.org/W1985369104","https://openalex.org/W1987177581","https://openalex.org/W1987721207","https://openalex.org/W1988242538","https://openalex.org/W1988566685","https://openalex.org/W1995654381","https://openalex.org/W1998676999","https://openalex.org/W2012637498","https://openalex.org/W2014417436","https://openalex.org/W2017454381","https://openalex.org/W2021470000","https://openalex.org/W2023946257","https://openalex.org/W2024742635","https://openalex.org/W2040920346","https://openalex.org/W2042377845","https://openalex.org/W2048120646","https://openalex.org/W2051638083","https://openalex.org/W2059354089","https://openalex.org/W2068692334","https://openalex.org/W2073275126","https://openalex.org/W2076296214","https://openalex.org/W2076395105","https://openalex.org/W2080321857","https://openalex.org/W2089953456","https://openalex.org/W2095276998","https://openalex.org/W2130626816","https://openalex.org/W2138144212","https://openalex.org/W2160185911","https://openalex.org/W2167823503","https://openalex.org/W2372381865","https://openalex.org/W2376743315","https://openalex.org/W2379318532","https://openalex.org/W2383338108","https://openalex.org/W2912565176","https://openalex.org/W3143262513"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W154868527","https://openalex.org/W1494268238","https://openalex.org/W1983207144","https://openalex.org/W2490706771","https://openalex.org/W1976468483","https://openalex.org/W2480116122","https://openalex.org/W2563912921","https://openalex.org/W2407611282","https://openalex.org/W2077860847"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,10,29,59,69,113],"this":[3],"paper":[4],"is":[5,105],"to":[6,86,90,107],"develop":[7,87],"a":[8],"series":[9],"parameterized":[11,45],"intuitionistic":[12,18,30,46,60,97],"fuzzy":[13,19,31,47,61,98],"trapezoidal":[14,20,32,48,62,99],"operators":[15,49,72,85],"for":[16,50],"aggregating":[17,51],"numbers.":[21,63],"First,":[22],"the":[23,52,57,75,109,114],"concept":[24],"and":[25,73,111],"some":[26,44,66],"operational":[27,40],"laws":[28],"numbers":[33],"are":[34],"introduced.":[35],"Then,":[36],"based":[37],"on":[38],"these":[39,70,78,83],"laws,":[41],"we":[42,81],"present":[43],"attribute":[53,92],"values":[54],"that":[55],"take":[56],"form":[58],"We":[64],"study":[65],"desired":[67],"properties":[68],"aggregation":[71,84],"investigate":[74],"relationships":[76],"among":[77],"operators.":[79],"Furthermore,":[80],"apply":[82],"an":[88,102],"approach":[89],"multiple":[91],"group":[93],"decision":[94],"making":[95],"with":[96],"information.":[100],"Finally,":[101],"illustrative":[103],"example":[104],"provided":[106],"demonstrate":[108],"practicality":[110],"effectiveness":[112],"developed":[115],"approach.":[116]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}