{"id":"https://openalex.org/W4210915956","doi":"https://doi.org/10.1007/s40314-022-01769-7","title":"Einstein Heronian mean aggregation operator and its application in decision making problems","display_name":"Einstein Heronian mean aggregation operator and its application in decision making problems","publication_year":2022,"publication_date":"2022-02-09","ids":{"openalex":"https://openalex.org/W4210915956","doi":"https://doi.org/10.1007/s40314-022-01769-7"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-01769-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01769-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5075865891","display_name":"V. Anusha","orcid":null},"institutions":[{"id":"https://openalex.org/I885392262","display_name":"GITAM University","ror":"https://ror.org/0440p1d37","country_code":"IN","type":"education","lineage":["https://openalex.org/I885392262"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"V. Anusha","raw_affiliation_strings":["Department of Mathematics, GITAM Institute of Science, GITAM (Deemed to be University), Visakhapatnam, 530045, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, GITAM Institute of Science, GITAM (Deemed to be University), Visakhapatnam, 530045, India","institution_ids":["https://openalex.org/I885392262"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013640212","display_name":"V. Sireesha","orcid":null},"institutions":[{"id":"https://openalex.org/I885392262","display_name":"GITAM University","ror":"https://ror.org/0440p1d37","country_code":"IN","type":"education","lineage":["https://openalex.org/I885392262"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"V. Sireesha","raw_affiliation_strings":["Department of Mathematics, GITAM Institute of Science, GITAM (Deemed to be University), Visakhapatnam, 530045, India"],"raw_orcid":"https://orcid.org/0000-0002-7370-6149","affiliations":[{"raw_affiliation_string":"Department of Mathematics, GITAM Institute of Science, GITAM (Deemed to be University), Visakhapatnam, 530045, India","institution_ids":["https://openalex.org/I885392262"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013640212","https://openalex.org/A5075865891"],"corresponding_institution_ids":["https://openalex.org/I885392262"],"apc_list":null,"apc_paid":null,"fwci":1.1865,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79677751,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"41","issue":"2","first_page":null,"last_page":null},"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9907000064849854,"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"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9692999720573425,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topsis","display_name":"TOPSIS","score":0.855010986328125},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.7989569902420044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6910290122032166},{"id":"https://openalex.org/keywords/jaccard-index","display_name":"Jaccard index","score":0.642901599407196},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6305229663848877},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.5955166816711426},{"id":"https://openalex.org/keywords/einstein","display_name":"Einstein","score":0.5891324281692505},{"id":"https://openalex.org/keywords/multiple-criteria-decision-analysis","display_name":"Multiple-criteria decision analysis","score":0.5226709246635437},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.5220813155174255},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5049300789833069},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4744970500469208},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4543033540248871},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.41404321789741516},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40225064754486084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.301067590713501},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.2595999240875244},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16578876972198486},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.14680078625679016},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12954199314117432},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11949831247329712},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.08487218618392944},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.058477967977523804}],"concepts":[{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.855010986328125},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7989569902420044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6910290122032166},{"id":"https://openalex.org/C203519979","wikidata":"https://www.wikidata.org/wiki/Q865360","display_name":"Jaccard index","level":3,"score":0.642901599407196},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6305229663848877},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.5955166816711426},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.5891324281692505},{"id":"https://openalex.org/C11105738","wikidata":"https://www.wikidata.org/wiki/Q1895805","display_name":"Multiple-criteria decision analysis","level":2,"score":0.5226709246635437},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5220813155174255},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5049300789833069},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4744970500469208},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4543033540248871},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.41404321789741516},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40225064754486084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.301067590713501},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.2595999240875244},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16578876972198486},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.14680078625679016},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12954199314117432},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11949831247329712},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.08487218618392944},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.058477967977523804},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/s40314-022-01769-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01769-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1965777053","https://openalex.org/W1976915331","https://openalex.org/W2008103229","https://openalex.org/W2016698635","https://openalex.org/W2080986991","https://openalex.org/W2086305137","https://openalex.org/W2086320398","https://openalex.org/W2091115915","https://openalex.org/W2131886650","https://openalex.org/W2133897143","https://openalex.org/W2205336636","https://openalex.org/W2226865278","https://openalex.org/W2563128797","https://openalex.org/W2579304191","https://openalex.org/W2606031165","https://openalex.org/W2782809306","https://openalex.org/W2902246582","https://openalex.org/W2913260530","https://openalex.org/W2981268106","https://openalex.org/W3004286422","https://openalex.org/W3005880828","https://openalex.org/W3008669921","https://openalex.org/W3033446327","https://openalex.org/W3035726715","https://openalex.org/W3137595973","https://openalex.org/W3152586703","https://openalex.org/W4234672050","https://openalex.org/W4292078529"],"related_works":["https://openalex.org/W2085844340","https://openalex.org/W2170835961","https://openalex.org/W1681469372","https://openalex.org/W4386838307","https://openalex.org/W2811158568","https://openalex.org/W2950012811","https://openalex.org/W4289849097","https://openalex.org/W2950207615","https://openalex.org/W1977387692","https://openalex.org/W4210915956"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
