05074nam 22007095 450 991025488010332120200702090947.03-319-30690-110.1007/978-3-319-30690-2(CKB)3710000000732276(DE-He213)978-3-319-30690-2(MiAaPQ)EBC4557248(EXLCZ)99371000000073227620160613d2016 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSet Functions, Games and Capacities in Decision Making /by Michel Grabisch1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XVI, 473 p. 50 illus., 25 illus. in color.) Theory and Decision Library C, Game Theory, Social Choice, Decision Theory, and Optimization,0924-6126 ;463-319-30688-X Includes bibliographical references and index.Introduction -- Set functions, capacities and games -- The core and the selectope of games -- Integrals -- Decision under risk and uncertainty -- Decisions with multiple criteria -- Dempster-Shafer and possibility theory.Michel Grabisch has fully succeeded in transforming his deep knowledge of the field into a very rich and quite readable text. Professor Denis Bouyssou, Université Paris Dauphine This monograph provides a much-needed perspective on a rich collection of structural properties of set functions which have been investigated for more than 60 years, but which have never been collected in a single volume. By establishing these results in a clear and rigorous mathematical framework, the author makes them accessible to a broad audience. His book should rapidly become a classic reference in the field. Professor Yves Crama, University of Liège and HEC Liège This book is an excellent compendium of technical notions pertaining to set functions, that are relevant in uncertainty management, game theory, and multicriteria decision-making. It will be a very useful companion to any student or researcher willing to investigate these fields beyond standard probability theory and simple additive methods. Professor Didier Dubois, IRIT, Université Paul Sabatier, Toulouse In this book, written by a leading scholar, the readers can finally find a unified and comprehensive study of set functions. It is a much needed, beautiful, book that will be most useful to the cognoscenti, who will appreciate its depth and breadth, as well as to the readers who desire to learn about this fundamental topic. Professor Massimo Marinacci, Università Bocconi Nonadditive set functions are used in many optimization and decision theories (uncertain, fuzzy, multi-criteria, strategic, AI, combinatorial, statistical, …), many developing the same results independently. The only person knowing all these fields brought it all together and improved it brilliantly in this well-focused book. It is a must for anyone using set functions. Professor Peter P. Wakker, Erasmus University Rotterdam.Theory and Decision Library C, Game Theory, Social Choice, Decision Theory, and Optimization,0924-6126 ;46Game theoryOperations researchDecision makingManagement scienceMicroeconomicsApplication softwareGame Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/W29020Game Theory, Economics, Social and Behav. Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13011Operations Research/Decision Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/521000Operations Research, Management Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/M26024Microeconomicshttps://scigraph.springernature.com/ontologies/product-market-codes/W31000Computer Appl. in Social and Behavioral Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/I23028Game theory.Operations research.Decision making.Management science.Microeconomics.Application software.Game Theory.Game Theory, Economics, Social and Behav. Sciences.Operations Research/Decision Theory.Operations Research, Management Science.Microeconomics.Computer Appl. in Social and Behavioral Sciences.658.4034Grabisch Michelauthttp://id.loc.gov/vocabulary/relators/aut731164MiAaPQMiAaPQMiAaPQBOOK9910254880103321Set Functions, Games and Capacities in Decision Making2253307UNINA