{"id":"https://openalex.org/W2110955232","doi":"https://doi.org/10.1007/s13042-016-0508-0","title":"The neutrosophic number generalized weighted power averaging operator and its application in multiple attribute group decision making","display_name":"The neutrosophic number generalized weighted power averaging operator and its application in multiple attribute group decision making","publication_year":2016,"publication_date":"2016-02-11","ids":{"openalex":"https://openalex.org/W2110955232","doi":"https://doi.org/10.1007/s13042-016-0508-0","mag":"2110955232"},"language":"en","primary_location":{"id":"doi:10.1007/s13042-016-0508-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13042-016-0508-0","pdf_url":null,"source":{"id":"https://openalex.org/S2764999920","display_name":"International Journal of Machine Learning and Cybernetics","issn_l":"1868-8071","issn":["1868-8071","1868-808X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Machine Learning and Cybernetics","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/A5089438496","display_name":"\u041f\u044d\u0439\u0434\u044d \u041b\u044e","orcid":"https://orcid.org/0000-0001-5048-8145"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peide Liu","raw_affiliation_strings":["School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China","School of Management Science and Engineering Shandong University of Finance and Economics  Jinan China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China","institution_ids":["https://openalex.org/I59483232"]},{"raw_affiliation_string":"School of Management Science and Engineering Shandong University of Finance and Economics  Jinan China","institution_ids":["https://openalex.org/I59483232"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100450785","display_name":"Xi Liu","orcid":"https://orcid.org/0000-0002-1110-2382"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xi Liu","raw_affiliation_strings":["School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China","School of Management Science and Engineering Shandong University of Finance and Economics  Jinan China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China","institution_ids":["https://openalex.org/I59483232"]},{"raw_affiliation_string":"School of Management Science and Engineering Shandong University of Finance and Economics  Jinan China","institution_ids":["https://openalex.org/I59483232"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089438496"],"corresponding_institution_ids":["https://openalex.org/I59483232"],"apc_list":{"value":2790,"currency":"EUR","value_usd":3590},"apc_paid":null,"fwci":15.2981,"has_fulltext":false,"cited_by_count":73,"citation_normalized_percentile":{"value":0.99041248,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"9","issue":"2","first_page":"347","last_page":"358"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9358999729156494,"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/operator","display_name":"Operator (biology)","score":0.7384597063064575},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.6730833649635315},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6087596416473389},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.594931423664093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5906339287757874},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5388829708099365},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5222033858299255},{"id":"https://openalex.org/keywords/weighted-arithmetic-mean","display_name":"Weighted arithmetic mean","score":0.4782789647579193},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4377448856830597},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4030495882034302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38790157437324524},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35026293992996216},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29460662603378296},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.17740410566329956},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11959093809127808}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7384597063064575},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.6730833649635315},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6087596416473389},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.594931423664093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5906339287757874},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5388829708099365},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5222033858299255},{"id":"https://openalex.org/C9490382","wikidata":"https://www.wikidata.org/wiki/Q729113","display_name":"Weighted arithmetic mean","level":2,"score":0.4782789647579193},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4377448856830597},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4030495882034302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38790157437324524},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35026293992996216},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29460662603378296},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17740410566329956},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11959093809127808},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s13042-016-0508-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13042-016-0508-0","pdf_url":null,"source":{"id":"https://openalex.org/S2764999920","display_name":"International Journal of Machine Learning and Cybernetics","issn_l":"1868-8071","issn":["1868-8071","1868-808X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Machine Learning and Cybernetics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2044640337","display_name":null,"funder_award_id":"71471172, 71271124","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W194786220","https://openalex.org/W591434607","https://openalex.org/W645824323","https://openalex.org/W1164749899","https://openalex.org/W1576735256","https://openalex.org/W1900036544","https://openalex.org/W1932717633","https://openalex.org/W1950348492","https://openalex.org/W1956818252","https://openalex.org/W1959686571","https://openalex.org/W1963511358","https://openalex.org/W1969840038","https://openalex.org/W1978038284","https://openalex.org/W1980564456","https://openalex.org/W1984880160","https://openalex.org/W1986051247","https://openalex.org/W1986747479","https://openalex.org/W1988403082","https://openalex.org/W1992370407","https://openalex.org/W1999747502","https://openalex.org/W2004700754","https://openalex.org/W2004992275","https://openalex.org/W2006421248","https://openalex.org/W2011962431","https://openalex.org/W2022326739","https://openalex.org/W2034563113","https://openalex.org/W2034692510","https://openalex.org/W2038720791","https://openalex.org/W2040920346","https://openalex.org/W2041240839","https://openalex.org/W2054678794","https://openalex.org/W2059859512","https://openalex.org/W2060907774","https://openalex.org/W2074315456","https://openalex.org/W2087959922","https://openalex.org/W2101867056","https://openalex.org/W2120230944","https://openalex.org/W2130626816","https://openalex.org/W2131196740","https://openalex.org/W2131202053","https://openalex.org/W2131680151","https://openalex.org/W2135017202","https://openalex.org/W2137528762","https://openalex.org/W2150546380","https://openalex.org/W2150701149","https://openalex.org/W2154583175","https://openalex.org/W2157687268","https://openalex.org/W2158055408","https://openalex.org/W2168594280","https://openalex.org/W2190038190","https://openalex.org/W2210303234","https://openalex.org/W2271588387","https://openalex.org/W2277011713","https://openalex.org/W2309813571","https://openalex.org/W2912565176","https://openalex.org/W2985547398","https://openalex.org/W3013205421","https://openalex.org/W3022012590","https://openalex.org/W3081925372","https://openalex.org/W3150277910","https://openalex.org/W4211007335","https://openalex.org/W4230733346"],"related_works":["https://openalex.org/W2041084175","https://openalex.org/W2053109192","https://openalex.org/W2917056084","https://openalex.org/W2620384456","https://openalex.org/W2350828260","https://openalex.org/W4403394229","https://openalex.org/W2128463183","https://openalex.org/W2008553173","https://openalex.org/W2025532752","https://openalex.org/W2182538893"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":20},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}