LEADER 05074nam 22007095 450 001 9910254880103321 005 20200702090947.0 010 $a3-319-30690-1 024 7 $a10.1007/978-3-319-30690-2 035 $a(CKB)3710000000732276 035 $a(DE-He213)978-3-319-30690-2 035 $a(MiAaPQ)EBC4557248 035 $a(EXLCZ)993710000000732276 100 $a20160613d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSet Functions, Games and Capacities in Decision Making /$fby Michel Grabisch 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XVI, 473 p. 50 illus., 25 illus. in color.) 225 1 $aTheory and Decision Library C, Game Theory, Social Choice, Decision Theory, and Optimization,$x0924-6126 ;$v46 311 $a3-319-30688-X 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 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. 330 $aMichel Grabisch has fully succeeded in transforming his deep knowledge of the field into a very rich and quite readable text. Professor Denis Bouyssou, Université Paris Dauphine This monograph provides a much-needed perspective on a rich collection of structural properties of set functions which have been investigated for more than 60 years, but which have never been collected in a single volume. By establishing these results in a clear and rigorous mathematical framework, the author makes them accessible to a broad audience. His book should rapidly become a classic reference in the field. Professor Yves Crama, University of Liège and HEC Liège This book is an excellent compendium of technical notions pertaining to set functions, that are relevant in uncertainty management, game theory, and multicriteria decision-making. It will be a very useful companion to any student or researcher willing to investigate these fields beyond standard probability theory and simple additive methods. Professor Didier Dubois, IRIT, Université Paul Sabatier, Toulouse In this book, written by a leading scholar, the readers can finally find a unified and comprehensive study of set functions. It is a much needed, beautiful, book that will be most useful to the cognoscenti, who will appreciate its depth and breadth, as well as to the readers who desire to learn about this fundamental topic. Professor Massimo Marinacci, Università Bocconi Nonadditive set functions are used in many optimization and decision theories (uncertain, fuzzy, multi-criteria, strategic, AI, combinatorial, statistical, ?), many developing the same results independently. The only person knowing all these fields brought it all together and improved it brilliantly in this well-focused book. It is a must for anyone using set functions. Professor Peter P. Wakker, Erasmus University Rotterdam. 410 0$aTheory and Decision Library C, Game Theory, Social Choice, Decision Theory, and Optimization,$x0924-6126 ;$v46 606 $aGame theory 606 $aOperations research 606 $aDecision making 606 $aManagement science 606 $aMicroeconomics 606 $aApplication software 606 $aGame Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/W29020 606 $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011 606 $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 606 $aMicroeconomics$3https://scigraph.springernature.com/ontologies/product-market-codes/W31000 606 $aComputer Appl. in Social and Behavioral Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/I23028 615 0$aGame theory. 615 0$aOperations research. 615 0$aDecision making. 615 0$aManagement science. 615 0$aMicroeconomics. 615 0$aApplication software. 615 14$aGame Theory. 615 24$aGame Theory, Economics, Social and Behav. Sciences. 615 24$aOperations Research/Decision Theory. 615 24$aOperations Research, Management Science. 615 24$aMicroeconomics. 615 24$aComputer Appl. in Social and Behavioral Sciences. 676 $a658.4034 700 $aGrabisch$b Michel$4aut$4http://id.loc.gov/vocabulary/relators/aut$0731164 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254880103321 996 $aSet Functions, Games and Capacities in Decision Making$92253307 997 $aUNINA