{"id":"https://openalex.org/W4387744005","doi":"https://doi.org/10.3390/axioms12100984","title":"Optimizing Material Selection with Fermatean Fuzzy Hybrid Aggregation Operators","display_name":"Optimizing Material Selection with Fermatean Fuzzy Hybrid Aggregation Operators","publication_year":2023,"publication_date":"2023-10-18","ids":{"openalex":"https://openalex.org/W4387744005","doi":"https://doi.org/10.3390/axioms12100984"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12100984","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12100984","pdf_url":"https://www.mdpi.com/2075-1680/12/10/984/pdf?version=1697614144","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/10/984/pdf?version=1697614144","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011658703","display_name":"Vladimir \u0160imi\u0107","orcid":"https://orcid.org/0000-0001-5709-3744"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]},{"id":"https://openalex.org/I99908691","display_name":"Yuan Ze University","ror":"https://ror.org/01fv1ds98","country_code":"TW","type":"education","lineage":["https://openalex.org/I99908691"]}],"countries":["RS","TW"],"is_corresponding":true,"raw_author_name":"Vladimir Simic","raw_affiliation_strings":["Department of Industrial Engineering and Management, College of Engineering, Yuan Ze University, Taoyuan City 320315, Taiwan","Faculty of Transport and Traffic Engineering, University of Belgrade, Vojvode Stepe 305, 11010 Belgrade, Serbia"],"raw_orcid":"https://orcid.org/0000-0001-5709-3744","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, College of Engineering, Yuan Ze University, Taoyuan City 320315, Taiwan","institution_ids":["https://openalex.org/I99908691"]},{"raw_affiliation_string":"Faculty of Transport and Traffic Engineering, University of Belgrade, Vojvode Stepe 305, 11010 Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101983822","display_name":"Waseem Ahmad","orcid":"https://orcid.org/0000-0002-7737-5519"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Waseem Ahmad","raw_affiliation_strings":["Department of Computer Science & Engineering, Meerut Institute of Engineering and Technology, Meerut 250005, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science & Engineering, Meerut Institute of Engineering and Technology, Meerut 250005, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005995423","display_name":"Srishti Dikshit","orcid":"https://orcid.org/0000-0002-7000-9161"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Srishti Dikshit","raw_affiliation_strings":["Noida Institute of Engineering and Technology Greater Noida, Greater Noida 201306, India"],"raw_orcid":"https://orcid.org/0000-0002-7000-9161","affiliations":[{"raw_affiliation_string":"Noida Institute of Engineering and Technology Greater Noida, Greater Noida 201306, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078588265","display_name":"Bandar Bin\u2010Mohsin","orcid":"https://orcid.org/0000-0002-2160-4159"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Bandar Bin-Mohsin","raw_affiliation_strings":["Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-2160-4159","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093085657","display_name":"Mohd Sadim","orcid":null},"institutions":[{"id":"https://openalex.org/I191247993","display_name":"Shobhit University","ror":"https://ror.org/02z2sk479","country_code":"IN","type":"education","lineage":["https://openalex.org/I191247993"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohd Sadim","raw_affiliation_strings":["Department of Computer Science & Engineering, Meerut Institute of Technology, Meerut 250103, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science & Engineering, Meerut Institute of Technology, Meerut 250103, India","institution_ids":["https://openalex.org/I191247993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069205023","display_name":"Mohd Anjum","orcid":"https://orcid.org/0000-0003-4094-3786"},"institutions":[{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohd Anjum","raw_affiliation_strings":["Department of Computer Engineering, Aligarh Muslim University, Aligarh 202002, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Aligarh Muslim University, Aligarh 202002, India","institution_ids":["https://openalex.org/I171210897"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5011658703"],"corresponding_institution_ids":["https://openalex.org/I4068193","https://openalex.org/I99908691"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.2328,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.81755857,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"12","issue":"10","first_page":"984","last_page":"984"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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/T10539","display_name":"Sustainable Supply Chain Management","score":0.9243000149726868,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12945","display_name":"Quality Function Deployment in Product Design","score":0.9175999760627747,"subfield":{"id":"https://openalex.org/subfields/1405","display_name":"Management of Technology and Innovation"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.6796616315841675},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6350871920585632},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6058361530303955},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5617466568946838},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4873274266719818},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47797414660453796},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4368383586406708},{"id":"https://openalex.org/keywords/material-selection","display_name":"Material selection","score":0.4113216996192932},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2774890661239624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2363785207271576}],"concepts":[{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.6796616315841675},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6350871920585632},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6058361530303955},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5617466568946838},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4873274266719818},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47797414660453796},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4368383586406708},{"id":"https://openalex.org/C2780443751","wikidata":"https://www.wikidata.org/wiki/Q6786565","display_name":"Material selection","level":2,"score":0.4113216996192932},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2774890661239624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2363785207271576},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms12100984","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12100984","pdf_url":"https://www.mdpi.com/2075-1680/12/10/984/pdf?version=1697614144","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:559e71982f844f14aa9c9b6b8a545903","is_oa":true,"landing_page_url":"https://doaj.org/article/559e71982f844f14aa9c9b6b8a545903","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 10, p 984 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12100984","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12100984","pdf_url":"https://www.mdpi.com/2075-1680/12/10/984/pdf?version=1697614144","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3908898470","display_name":null,"funder_award_id":"RSP2023R158","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4387744005.pdf"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1980564456","https://openalex.org/W2079457935","https://openalex.org/W2318396210","https://openalex.org/W2587083986","https://openalex.org/W2747160131","https://openalex.org/W2769278513","https://openalex.org/W2885465254","https://openalex.org/W2951141814","https://openalex.org/W2953978486","https://openalex.org/W2980689816","https://openalex.org/W3007736933","https://openalex.org/W3061903604","https://openalex.org/W3099717361","https://openalex.org/W3109761444","https://openalex.org/W3128354297","https://openalex.org/W3132686745","https://openalex.org/W3138416235","https://openalex.org/W3166503674","https://openalex.org/W3186929694","https://openalex.org/W3199109559","https://openalex.org/W4210573062","https://openalex.org/W4211007335","https://openalex.org/W4281696218","https://openalex.org/W4288062319","https://openalex.org/W4309939033","https://openalex.org/W4319964780","https://openalex.org/W4321021721","https://openalex.org/W4367365866","https://openalex.org/W4382072615","https://openalex.org/W4383337821","https://openalex.org/W4384080215","https://openalex.org/W6699589255","https://openalex.org/W6743085177","https://openalex.org/W6852169534","https://openalex.org/W6853776446"],"related_works":["https://openalex.org/W4205762803","https://openalex.org/W2535856026","https://openalex.org/W2265065644","https://openalex.org/W2134699697","https://openalex.org/W3017188156","https://openalex.org/W2322875716","https://openalex.org/W2347771797","https://openalex.org/W2385561767","https://openalex.org/W2606115482","https://openalex.org/W2353312027"],"abstract_inverted_index":{"In":[0],"the":[1,9,37,46,64,75],"pursuance":[2],"of":[3,11,39,53,95],"engineering":[4],"excellence":[5],"and":[6,44,74,108,115,127],"sustainable":[7,128],"practices,":[8],"optimization":[10],"material":[12,33,120],"selection":[13,34],"processes":[14],"plays":[15],"a":[16,50,93],"crucial":[17],"role.":[18],"Using":[19],"Fermatean":[20,40],"fuzzy":[21,41,66,77],"aggregation":[22,71,83],"Operators":[23],"(AOs),":[24],"this":[25],"study":[26],"introduces":[27],"an":[28],"innovative":[29],"method":[30,48,87],"for":[31],"improving":[32],"procedures.":[35],"Combining":[36],"advantages":[38],"set":[42],"(FrFS)":[43],"AOs,":[45],"proposed":[47],"enables":[49,112],"comprehensive":[51],"evaluation":[52],"materials":[54],"based":[55],"on":[56],"multiple":[57,131],"criteria.":[58],"The":[59],"authors":[60],"propose":[61],"two":[62],"operators:":[63],"\u201cFermatean":[65,76],"hybrid":[67,78],"weighted":[68,80],"arithmetic":[69,81],"geometric":[70,82],"(FrFHWAGA)":[72],"operator\u201d":[73],"ordered":[79],"(FrFHOWAGA)":[84],"operator\u201d.":[85],"This":[86,110],"facilitates":[88],"informed":[89],"decision":[90,116],"making":[91],"in":[92,123],"number":[94],"industries":[96],"by":[97],"taking":[98],"into":[99],"account":[100],"factors":[101],"such":[102],"as":[103],"cost,":[104],"durability,":[105],"environmental":[106],"impact,":[107],"availability.":[109],"research":[111],"engineers,":[113],"designers,":[114],"makers":[117],"to":[118],"optimize":[119],"selection,":[121],"resulting":[122],"more":[124],"efficient,":[125],"cost-effective,":[126],"solutions":[129],"across":[130],"domains.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}