{"id":"https://openalex.org/W7154017761","doi":"https://doi.org/10.1016/j.mathsocsci.2026.102527","title":"From utility functions and generalized means to distance functions: A Stone\u2013Geary approach and related duality results","display_name":"From utility functions and generalized means to distance functions: A Stone\u2013Geary approach and related duality results","publication_year":2026,"publication_date":"2026-04-13","ids":{"openalex":"https://openalex.org/W7154017761","doi":"https://doi.org/10.1016/j.mathsocsci.2026.102527"},"language":"en","primary_location":{"id":"doi:10.1016/j.mathsocsci.2026.102527","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.mathsocsci.2026.102527","pdf_url":null,"source":{"id":"https://openalex.org/S149064342","display_name":"Mathematical Social Sciences","issn_l":"0165-4896","issn":["0165-4896","1879-3118"],"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":"Mathematical Social Sciences","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/A5011443979","display_name":"Walter Briec","orcid":"https://orcid.org/0000-0001-8411-2146"},"institutions":[{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Walter Briec","raw_affiliation_strings":["LAMPS-Laboratory of Mathematics and Physics, University of Perpignan, 52 avenue Villeneuve, 66000 Perpignan, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMPS-Laboratory of Mathematics and Physics, University of Perpignan, 52 avenue Villeneuve, 66000 Perpignan, France","institution_ids":["https://openalex.org/I151295451"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011443979"],"corresponding_institution_ids":["https://openalex.org/I151295451"],"apc_list":{"value":2720,"currency":"USD","value_usd":2720},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.71821149,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"141","issue":null,"first_page":"102527","last_page":"102527"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.2775000035762787,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.2775000035762787,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.18240000307559967,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.1379999965429306,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6758000254631042},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.3418999910354614},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.27399998903274536},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.2599000036716461}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6758000254631042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5795999765396118},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3537999987602234},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3418999910354614},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2994999885559082},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2944999933242798},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2858999967575073},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.27399998903274536},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.2599000036716461},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2596000134944916},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25679999589920044}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.mathsocsci.2026.102527","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.mathsocsci.2026.102527","pdf_url":null,"source":{"id":"https://openalex.org/S149064342","display_name":"Mathematical Social Sciences","issn_l":"0165-4896","issn":["0165-4896","1879-3118"],"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":"Mathematical Social Sciences","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05623724v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05623724","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Social Sciences, 2026, 141, pp.102527. &#x27E8;10.1016/j.mathsocsci.2026.102527&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6055399775505066,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1595334554","https://openalex.org/W1819209229","https://openalex.org/W1953936588","https://openalex.org/W1967788582","https://openalex.org/W1969826050","https://openalex.org/W1971709653","https://openalex.org/W1975503357","https://openalex.org/W1976168308","https://openalex.org/W1981071255","https://openalex.org/W1995145596","https://openalex.org/W2001910686","https://openalex.org/W2017990047","https://openalex.org/W2022041746","https://openalex.org/W2025010014","https://openalex.org/W2032462725","https://openalex.org/W2038292519","https://openalex.org/W2039023124","https://openalex.org/W2041122661","https://openalex.org/W2041946752","https://openalex.org/W2044239388","https://openalex.org/W2047573445","https://openalex.org/W2055535099","https://openalex.org/W2056619877","https://openalex.org/W2065748159","https://openalex.org/W2076452041","https://openalex.org/W2080057232","https://openalex.org/W2080373573","https://openalex.org/W2094476259","https://openalex.org/W2096719080","https://openalex.org/W2115566940","https://openalex.org/W2129763896","https://openalex.org/W2136211845","https://openalex.org/W2137551341","https://openalex.org/W2141913421","https://openalex.org/W2162180338","https://openalex.org/W2169551611","https://openalex.org/W2506753585","https://openalex.org/W2597834461","https://openalex.org/W2901243444","https://openalex.org/W2911246948","https://openalex.org/W3011476523","https://openalex.org/W3121517462","https://openalex.org/W3125473098","https://openalex.org/W3186391252","https://openalex.org/W4242676363","https://openalex.org/W4405463529"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-05-19T08:33:51.333923","created_date":"2026-04-14T00:00:00"}
