LEADER 04514nam 22006975 450 001 9910484285803321 005 20200703090433.0 010 $a3-030-34226-3 024 7 $a10.1007/978-3-030-34226-5 035 $a(CKB)4100000010118933 035 $a(MiAaPQ)EBC6027563 035 $a(DE-He213)978-3-030-34226-5 035 $a(PPN)243771185 035 $a(EXLCZ)994100000010118933 100 $a20200123d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Topics on Representations of Ordered Structures and Utility Theory $eEssays in Honor of Professor Ghanshyam B. Mehta /$fedited by Gianni Bosi, María J. Campión, Juan C. Candeal, Esteban Indurain 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (xxii, 368 pages) 225 1 $aStudies in Systems, Decision and Control,$x2198-4182 ;$v263 311 $a3-030-34225-5 327 $aTopology and preference relations -- The existence and the non-existence of utility functions -- Open questions in Utility Theory -- Representations of interval orders on connected separable -- Searching for a Debreu's open gap lemma for semiorders -- A note on Candeal and Indurain?s semiorder separability -- Chain Representations of Nested Families of Biorders -- A note on representable group topologies -- Preferences in abstract convex structures -- Strictly monotonic preferences -- Continuity and continuous multi-utility representations -- Jointly continuous multy-utility representation -- Subjective States without the Completeness Axiom -- Preference for Flexibility: A Continuous Representation -- The Arrow-Hahn Construction in a locally compact -- Continuous Utility Representation of Fuzzy Preferences -- Similarity relation by using money-metric utility functions -- The interplay between intergenerational justice -- Comparative Risk Aversion for State-Dependent Preferences. 330 $aThis book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work. . 410 0$aStudies in Systems, Decision and Control,$x2198-4182 ;$v263 606 $aComputational intelligence 606 $aFinance?Mathematics 606 $aOperations research 606 $aDecision making 606 $aAlgebra 606 $aOrdered algebraic structures 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aFinancial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13140 606 $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000 606 $aOrder, Lattices, Ordered Algebraic Structures$3https://scigraph.springernature.com/ontologies/product-market-codes/M11124 615 0$aComputational intelligence. 615 0$aFinance?Mathematics. 615 0$aOperations research. 615 0$aDecision making. 615 0$aAlgebra. 615 0$aOrdered algebraic structures. 615 14$aComputational Intelligence. 615 24$aFinancial Mathematics. 615 24$aOperations Research/Decision Theory. 615 24$aOrder, Lattices, Ordered Algebraic Structures. 676 $a006.3 702 $aBosi$b Gianni$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCampión$b María J$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCandeal$b Juan C$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aIndurain$b Esteban$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484285803321 996 $aMathematical Topics on Representations of Ordered Structures and Utility Theory$91914846 997 $aUNINA