{"id":"https://openalex.org/W7151813145","doi":"https://doi.org/10.1016/j.asoc.2026.115180","title":"Symmetrical behaviors based on order relations in advanced fuzzy soft sets for optimization and collaborative solutions","display_name":"Symmetrical behaviors based on order relations in advanced fuzzy soft sets for optimization and collaborative solutions","publication_year":2026,"publication_date":"2026-04-08","ids":{"openalex":"https://openalex.org/W7151813145","doi":"https://doi.org/10.1016/j.asoc.2026.115180"},"language":"en","primary_location":{"id":"doi:10.1016/j.asoc.2026.115180","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.asoc.2026.115180","pdf_url":null,"source":{"id":"https://openalex.org/S140556538","display_name":"Applied Soft Computing","issn_l":"1568-4946","issn":["1568-4946","1872-9681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Soft Computing","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/A5133235693","display_name":"Amna Wasim","orcid":"https://orcid.org/0009-0002-8701-8539"},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Amna Wasim","raw_affiliation_strings":["Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan"],"raw_orcid":"https://orcid.org/0009-0002-8701-8539","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210089805"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Muhammad Saeed","orcid":"https://orcid.org/0000-0002-7284-6908"},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Saeed","raw_affiliation_strings":["Department of Chemistry, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-7284-6908","affiliations":[{"raw_affiliation_string":"Department of Chemistry, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210089805"]},{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210089805"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Muhammad Saeed","orcid":"https://orcid.org/0000-0002-7284-6908"},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Saeed","raw_affiliation_strings":["Department of Chemistry, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-7284-6908","affiliations":[{"raw_affiliation_string":"Department of Chemistry, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210089805"]},{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210089805"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027272060","display_name":"Muhammad Haris Saeed","orcid":"https://orcid.org/0000-0002-7913-951X"},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Haris Saeed","raw_affiliation_strings":["Department of Chemistry, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-7913-951X","affiliations":[{"raw_affiliation_string":"Department of Chemistry, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210089805"]},{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210089805"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027272060","display_name":"Muhammad Haris Saeed","orcid":"https://orcid.org/0000-0002-7913-951X"},"institutions":[{"id":"https://openalex.org/I4210089805","display_name":"University of Management and Technology","ror":null,"country_code":"PK","type":null,"lineage":["https://openalex.org/I4210089805"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Haris Saeed","raw_affiliation_strings":["Department of Chemistry, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-7913-951X","affiliations":[{"raw_affiliation_string":"Department of Chemistry, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210089805"]},{"raw_affiliation_string":"Department of Mathematics, University of Management and Technology, C-II Johar Town, Lahore, 54700, Punjab, Pakistan","institution_ids":["https://openalex.org/I4210089805"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051710693","display_name":"Muhammet Deveci","orcid":"https://orcid.org/0000-0002-3712-976X"},"institutions":[{"id":"https://openalex.org/I157637111","display_name":"Naval Academy","ror":"https://ror.org/05syseh24","country_code":"TR","type":"education","lineage":["https://openalex.org/I157637111"]},{"id":"https://openalex.org/I3130874397","display_name":"Western Caspian University","ror":"https://ror.org/05cgtjz78","country_code":"AZ","type":"education","lineage":["https://openalex.org/I3130874397"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["AZ","GB","TR"],"is_corresponding":false,"raw_author_name":"Muhammet Deveci","raw_affiliation_strings":["Department of Industrial Engineering, Turkish Naval Academy, National Defence University, Tuzla, 34942, Istanbul, Turkey","Department of Information Technologies, Western Caspian University, Baku, 1001, Azerbaijan","Royal School of Mines, Imperial College London, London, SW7 2AZ, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0002-3712-976X","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Turkish Naval Academy, National Defence University, Tuzla, 34942, Istanbul, Turkey","institution_ids":["https://openalex.org/I157637111"]},{"raw_affiliation_string":"Department of Information Technologies, Western Caspian University, Baku, 1001, Azerbaijan","institution_ids":["https://openalex.org/I3130874397"]},{"raw_affiliation_string":"Royal School of Mines, Imperial College London, London, SW7 2AZ, United Kingdom","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Mazin Abed Mohammed","orcid":"https://orcid.org/0000-0001-9030-8102"},"institutions":[{"id":"https://openalex.org/I27768575","display_name":"University of Anbar","ror":"https://ror.org/055a6gk50","country_code":"IQ","type":"education","lineage":["https://openalex.org/I27768575"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Mazin Abed Mohammed","raw_affiliation_strings":["College of Computer Science and Information Technology, University of Anbar, Anbar, 31001, Iraq"],"raw_orcid":"https://orcid.org/0000-0001-9030-8102","affiliations":[{"raw_affiliation_string":"College of Computer Science and Information Technology, University of Anbar, Anbar, 31001, Iraq","institution_ids":["https://openalex.org/I27768575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035797332","display_name":"Hana Tom\u00e1\u0161kov\u00e1","orcid":"https://orcid.org/0000-0003-1744-5826"},"institutions":[{"id":"https://openalex.org/I75092371","display_name":"University of Hradec Kr\u00e1lov\u00e9","ror":"https://ror.org/05k238v14","country_code":"CZ","type":"education","lineage":["https://openalex.org/I75092371"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Hana Tom\u00e1\u0161kov\u00e1","raw_affiliation_strings":["Faculty of Informatics and Management, University of Hradec Kralove, Rokitansk\u00e9ho 62, Hradec Kr\u00e1lov\u00e9, 500 06, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0003-1744-5826","affiliations":[{"raw_affiliation_string":"Faculty of Informatics and Management, University of Hradec Kralove, Rokitansk\u00e9ho 62, Hradec Kr\u00e1lov\u00e9, 500 06, Czech Republic","institution_ids":["https://openalex.org/I75092371"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5027272060"],"corresponding_institution_ids":["https://openalex.org/I4210089805"],"apc_list":{"value":3350,"currency":"USD","value_usd":3350},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.65085248,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"197","issue":null,"first_page":"115180","last_page":"115180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9840999841690063,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9840999841690063,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.003599999938160181,"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/T11286","display_name":"Polyoxometalates: Synthesis and Applications","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.6466000080108643},{"id":"https://openalex.org/keywords/soft-set","display_name":"Soft set","score":0.6011000275611877},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.5367000102996826},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5254999995231628},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5074999928474426},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46939998865127563},{"id":"https://openalex.org/keywords/clarity","display_name":"CLARITY","score":0.4690999984741211},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.4627000093460083},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45329999923706055}],"concepts":[{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.6466000080108643},{"id":"https://openalex.org/C2777037408","wikidata":"https://www.wikidata.org/wiki/Q4310193","display_name":"Soft set","level":3,"score":0.6011000275611877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5584999918937683},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5367000102996826},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5254999995231628},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5074999928474426},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46939998865127563},{"id":"https://openalex.org/C2777146004","wikidata":"https://www.wikidata.org/wiki/Q14949826","display_name":"CLARITY","level":2,"score":0.4690999984741211},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.4627000093460083},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45329999923706055},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4528999924659729},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4284000098705292},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.39579999446868896},{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.37459999322891235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36719998717308044},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.33329999446868896},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.30059999227523804},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.27900001406669617},{"id":"https://openalex.org/C140073362","wikidata":"https://www.wikidata.org/wiki/Q738759","display_name":"Soft computing","level":3,"score":0.2775000035762787},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.2671000063419342},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2599000036716461},{"id":"https://openalex.org/C19351080","wikidata":"https://www.wikidata.org/wiki/Q1395034","display_name":"New product development","level":2,"score":0.257099986076355},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.2549000084400177},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25429999828338623},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25209999084472656},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.2508000135421753}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.asoc.2026.115180","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.asoc.2026.115180","pdf_url":null,"source":{"id":"https://openalex.org/S140556538","display_name":"Applied Soft Computing","issn_l":"1568-4946","issn":["1568-4946","1872-9681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6037471890449524,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1978352585","https://openalex.org/W1979535551","https://openalex.org/W1989832241","https://openalex.org/W1993810822","https://openalex.org/W2019950953","https://openalex.org/W2034247270","https://openalex.org/W2043438634","https://openalex.org/W2069754181","https://openalex.org/W2071367483","https://openalex.org/W2082736027","https://openalex.org/W2083267403","https://openalex.org/W2885877913","https://openalex.org/W2889701761","https://openalex.org/W3121420495","https://openalex.org/W3137288778","https://openalex.org/W3154463771","https://openalex.org/W3186792269","https://openalex.org/W3195275898","https://openalex.org/W4285190860","https://openalex.org/W4306253194","https://openalex.org/W4321128599","https://openalex.org/W4372232603","https://openalex.org/W4385814191","https://openalex.org/W4385858307","https://openalex.org/W4386566124","https://openalex.org/W4386805300","https://openalex.org/W4388571731","https://openalex.org/W4388632087","https://openalex.org/W4389138545","https://openalex.org/W4390876395","https://openalex.org/W4396796091","https://openalex.org/W4396849507","https://openalex.org/W4400142650","https://openalex.org/W4400927281","https://openalex.org/W4401369434","https://openalex.org/W4408155352","https://openalex.org/W6891635851"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-05-16T06:04:12.930555","created_date":"2026-04-09T00:00:00"}