{"id":"https://openalex.org/W4412162286","doi":"https://doi.org/10.3390/sym17071114","title":"Geometric Accumulation Operators of Dombi Weighted Trapezoidal-Valued Fermatean Fuzzy Numbers with Multi-Attribute Group Decision Making","display_name":"Geometric Accumulation Operators of Dombi Weighted Trapezoidal-Valued Fermatean Fuzzy Numbers with Multi-Attribute Group Decision Making","publication_year":2025,"publication_date":"2025-07-10","ids":{"openalex":"https://openalex.org/W4412162286","doi":"https://doi.org/10.3390/sym17071114"},"language":"en","primary_location":{"id":"doi:10.3390/sym17071114","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17071114","pdf_url":"https://www.mdpi.com/2073-8994/17/7/1114/pdf?version=1752152264","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/7/1114/pdf?version=1752152264","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028602557","display_name":"M. Kaviyarasu","orcid":"https://orcid.org/0000-0002-4709-1857"},"institutions":[{"id":"https://openalex.org/I1330855593","display_name":"Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology","ror":"https://ror.org/05bc5bx80","country_code":"IN","type":"education","lineage":["https://openalex.org/I1330855593"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"M. Kaviyarasu","raw_affiliation_strings":["Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology Avadi, Chennai 600062, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0002-4709-1857","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology Avadi, Chennai 600062, Tamil Nadu, India","institution_ids":["https://openalex.org/I1330855593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080972429","display_name":"John Angel","orcid":null},"institutions":[{"id":"https://openalex.org/I1330855593","display_name":"Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology","ror":"https://ror.org/05bc5bx80","country_code":"IN","type":"education","lineage":["https://openalex.org/I1330855593"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"J. Angel","raw_affiliation_strings":["Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology Avadi, Chennai 600062, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0009-0009-8089-4772","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology Avadi, Chennai 600062, Tamil Nadu, India","institution_ids":["https://openalex.org/I1330855593"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009364558","display_name":"Mohammed Alqahtani","orcid":"https://orcid.org/0000-0002-6696-7287"},"institutions":[{"id":"https://openalex.org/I120238654","display_name":"Saudi Electronic University","ror":"https://ror.org/05ndh7v49","country_code":"SA","type":"education","lineage":["https://openalex.org/I120238654"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Mohammed Alqahtani","raw_affiliation_strings":["Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, P.O. Box 93499, Riyadh 11673, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0002-6696-7287","affiliations":[{"raw_affiliation_string":"Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, P.O. Box 93499, Riyadh 11673, Saudi Arabia","institution_ids":["https://openalex.org/I120238654"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009364558","https://openalex.org/A5028602557"],"corresponding_institution_ids":["https://openalex.org/I120238654","https://openalex.org/I1330855593"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.5309,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65469078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"17","issue":"7","first_page":"1114","last_page":"1114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9527999758720398,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9527999758720398,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/group-decision-making","display_name":"Group decision-making","score":0.7503589391708374},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6242720484733582},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5534270405769348},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5419638156890869},{"id":"https://openalex.org/keywords/weighted-arithmetic-mean","display_name":"Weighted arithmetic mean","score":0.44842201471328735},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4231581687927246},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37504035234451294},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3316105902194977},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33120107650756836},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2554704248905182},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24433887004852295}],"concepts":[{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.7503589391708374},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6242720484733582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5534270405769348},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5419638156890869},{"id":"https://openalex.org/C9490382","wikidata":"https://www.wikidata.org/wiki/Q729113","display_name":"Weighted arithmetic mean","level":2,"score":0.44842201471328735},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4231581687927246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37504035234451294},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3316105902194977},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33120107650756836},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2554704248905182},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24433887004852295},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political 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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17071114","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17071114","pdf_url":"https://www.mdpi.com/2073-8994/17/7/1114/pdf?version=1752152264","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17071114","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17071114","pdf_url":"https://www.mdpi.com/2073-8994/17/7/1114/pdf?version=1752152264","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412162286.pdf","grobid_xml":"https://content.openalex.org/works/W4412162286.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1980564456","https://openalex.org/W2003115337","https://openalex.org/W2552392310","https://openalex.org/W2591936123","https://openalex.org/W2794285243","https://openalex.org/W2896634720","https://openalex.org/W2902246582","https://openalex.org/W2945606411","https://openalex.org/W2953978486","https://openalex.org/W2992655446","https://openalex.org/W3041355698","https://openalex.org/W3061903604","https://openalex.org/W3115482525","https://openalex.org/W3175598130","https://openalex.org/W3193891604","https://openalex.org/W3217511497","https://openalex.org/W4211007335","https://openalex.org/W4281768675","https://openalex.org/W4283029080","https://openalex.org/W4308529536","https://openalex.org/W4313389079","https://openalex.org/W4323659754","https://openalex.org/W4379645967","https://openalex.org/W4382060406","https://openalex.org/W4401844660","https://openalex.org/W4406751628","https://openalex.org/W4406772561","https://openalex.org/W4409349826","https://openalex.org/W4409583749","https://openalex.org/W4410714075","https://openalex.org/W6629265849","https://openalex.org/W6679780668","https://openalex.org/W6680902057","https://openalex.org/W6796465615"],"related_works":["https://openalex.org/W2014786470","https://openalex.org/W2077860847","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"],"abstract_inverted_index":{"Trapezoidal-valued":[0],"fermatean":[1,88,98],"fuzzy":[2,89,99],"numbers":[3],"(TpVFFNs)":[4],"are":[5,25],"essential":[6],"for":[7],"handling":[8],"daily":[9],"decision-making":[10,29,110,129],"issues":[11],"in":[12,32,68],"the":[13,21,46,59,115,122,127,133],"engineering":[14],"and":[15,52,74],"management":[16],"fields.":[17],"Accumulation":[18],"processes":[19,70],"on":[20,58],"set":[22],"of":[23,40,48,61,126],"TpVFFN":[24],"used":[26],"to":[27,44,71,79,113,132],"address":[28],"problems":[30],"described":[31],"this":[33,41],"environment":[34],"as":[35],"necessary.":[36],"The":[37],"primary":[38],"goal":[39],"paper":[42],"is":[43],"provide":[45],"concept":[47],"Dombi":[49,53],"t-norm":[50],"(Dtn)-":[51],"t-conorm":[54],"(Dtcn)-based":[55],"accumulation":[56,117],"operators":[57],"class":[60],"TpVFFN,":[62],"emphasizing":[63],"how":[64],"they":[65],"behave":[66],"symmetrically":[67],"aggregation":[69],"maintain":[72],"consistency":[73],"fairness.":[75],"To":[76],"use":[77,106],"s":[78],"illustrate":[80],"mathematical":[81],"circumstances,":[82],"we":[83,105,120],"first":[84],"create":[85],"a":[86,107],"trapezoidal-valued":[87],"Dombi\u2019s":[90],"weighted":[91,101],"geometric":[92,96,102],"operator,":[93,97],"hexagonal":[94],"hybird":[95],"order":[100],"operator.":[103],"Second,":[104],"multi-attribute":[108],"group":[109],"(MAGDM)":[111],"approach":[112],"compute":[114],"recommended":[116],"operators.":[118],"Finally,":[119],"demonstrate":[121],"potential":[123],"practical":[124],"application":[125],"proposed":[128],"problem":[130],"related":[131],"pink":[134],"cab.":[135]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
