{"id":"https://openalex.org/W2526675547","doi":"https://doi.org/10.1007/s13042-016-0604-1","title":"Projection models for multiple attribute decision making with picture fuzzy information","display_name":"Projection models for multiple attribute decision making with picture fuzzy information","publication_year":2016,"publication_date":"2016-09-29","ids":{"openalex":"https://openalex.org/W2526675547","doi":"https://doi.org/10.1007/s13042-016-0604-1","mag":"2526675547"},"language":"en","primary_location":{"id":"doi:10.1007/s13042-016-0604-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13042-016-0604-1","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/A5029662492","display_name":"Guiwu Wei","orcid":"https://orcid.org/0000-0001-9074-2005"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN","SA"],"is_corresponding":true,"raw_author_name":"Guiwu Wei","raw_affiliation_strings":["Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia","School of Business, Sichuan Normal University, Chengdu, 610101, People\u2019s Republic of China","School of Business, Sichuan Normal University, Chengdu, 610101, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"School of Business, Sichuan Normal University, Chengdu, 610101, People\u2019s Republic of China","institution_ids":["https://openalex.org/I63354593"]},{"raw_affiliation_string":"School of Business, Sichuan Normal University, Chengdu, 610101, People's Republic of China","institution_ids":["https://openalex.org/I63354593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080263475","display_name":"Fuad E. Alsaadi","orcid":"https://orcid.org/0000-0001-6420-3948"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Fuad E. Alsaadi","raw_affiliation_strings":["Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068730007","display_name":"Tasawar Hayat","orcid":"https://orcid.org/0000-0001-5952-4106"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]},{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK","SA"],"is_corresponding":false,"raw_author_name":"Tasawar Hayat","raw_affiliation_strings":["Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan","Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan","institution_ids":["https://openalex.org/I12469534"]},{"raw_affiliation_string":"Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110454244","display_name":"Ahmed Alsaedi","orcid":null},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ahmed Alsaedi","raw_affiliation_strings":["Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029662492"],"corresponding_institution_ids":["https://openalex.org/I185163786","https://openalex.org/I63354593"],"apc_list":{"value":2790,"currency":"EUR","value_usd":3590},"apc_paid":null,"fwci":38.4069,"has_fulltext":false,"cited_by_count":223,"citation_normalized_percentile":{"value":0.99833946,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"9","issue":"4","first_page":"713","last_page":"719"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9563999772071838,"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/projection","display_name":"Projection (relational algebra)","score":0.6093379855155945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5531080961227417},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5398416519165039},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5100870728492737},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5063608884811401},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5049589276313782},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.48004162311553955},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.43928125500679016},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4290212094783783},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.4270259141921997},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4222908020019531},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.4168592393398285},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.41540664434432983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.408471941947937},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.35943618416786194},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3384077847003937},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2776295840740204},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.05747923254966736}],"concepts":[{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6093379855155945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5531080961227417},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5398416519165039},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5100870728492737},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5063608884811401},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5049589276313782},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.48004162311553955},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.43928125500679016},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4290212094783783},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.4270259141921997},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4222908020019531},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.4168592393398285},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.41540664434432983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.408471941947937},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.35943618416786194},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3384077847003937},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2776295840740204},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.05747923254966736},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s13042-016-0604-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13042-016-0604-1","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":0.5600000023841858,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G8525855121","display_name":null,"funder_award_id":"61174149 and 71571128","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":47,"referenced_works":["https://openalex.org/W4369310","https://openalex.org/W276874431","https://openalex.org/W908018526","https://openalex.org/W1528809500","https://openalex.org/W1672332905","https://openalex.org/W1845000206","https://openalex.org/W1885595331","https://openalex.org/W1971875039","https://openalex.org/W1976915331","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W1986274141","https://openalex.org/W1987425643","https://openalex.org/W1989995659","https://openalex.org/W1993886780","https://openalex.org/W1995654381","https://openalex.org/W1997035197","https://openalex.org/W1997215070","https://openalex.org/W1998676999","https://openalex.org/W2010123060","https://openalex.org/W2017454381","https://openalex.org/W2026951642","https://openalex.org/W2027456222","https://openalex.org/W2031241748","https://openalex.org/W2053211464","https://openalex.org/W2058975566","https://openalex.org/W2059108713","https://openalex.org/W2065496634","https://openalex.org/W2067472607","https://openalex.org/W2068033859","https://openalex.org/W2069468205","https://openalex.org/W2070737895","https://openalex.org/W2076395105","https://openalex.org/W2076808107","https://openalex.org/W2083417661","https://openalex.org/W2084063803","https://openalex.org/W2089228118","https://openalex.org/W2089556013","https://openalex.org/W2092716173","https://openalex.org/W2136539703","https://openalex.org/W2161739267","https://openalex.org/W2201498186","https://openalex.org/W2272556930","https://openalex.org/W2912565176","https://openalex.org/W3147287816","https://openalex.org/W4211007335","https://openalex.org/W4292078529"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W4242970302","https://openalex.org/W2571050636","https://openalex.org/W1485268022","https://openalex.org/W2331106272","https://openalex.org/W1975005191","https://openalex.org/W3176863924","https://openalex.org/W1542808721","https://openalex.org/W2253053392","https://openalex.org/W2060361571"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":24},{"year":2022,"cited_by_count":23},{"year":2021,"cited_by_count":29},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":47},{"year":2018,"cited_by_count":35},{"year":2017,"cited_by_count":20},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-24T08:02:53.985720","created_date":"2025-10-10T00:00:00"}