Set Functions, Games and Capacities in Decision Making (Theory and Decision Library C)

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9783319306889: Set Functions, Games and Capacities in Decision Making (Theory and Decision Library C)

The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory.

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From the Back Cover:

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

About the Author:

Michel Grabisch is a Professor of Computer Sciences at Universite Paris I, Pantheon-Sorbonne.

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Grabisch, Michel
Editorial: Springer (2016)
ISBN 10: 331930688X ISBN 13: 9783319306889
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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9783319306889_lsuk

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Descripción Springer International Publishing AG, 2016. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9783319306889

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Descripción Springer International Publishing AG, 2016. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9783319306889

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Descripción Springer, 2016. Hardback. Estado de conservación: NEW. 9783319306889 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE01008165

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Michel Grabisch
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Descripción Springer International Publishing 2016-06-21, Switzerland, 2016. hardback. Estado de conservación: New. Nº de ref. de la librería 9783319306889

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Grabisch, Michel
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Descripción Springer, 2017. Hardcover. Estado de conservación: New. Never used! This item is printed on demand. Nº de ref. de la librería 331930688X

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Michel Grabisch
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Descripción Springer-Verlag Gmbh Jun 2016, 2016. Buch. Estado de conservación: Neu. Neuware - The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory. 473 pp. Englisch. Nº de ref. de la librería 9783319306889

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Michel Grabisch
Editorial: Springer-Verlag Gmbh Jun 2016 (2016)
ISBN 10: 331930688X ISBN 13: 9783319306889
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Rheinberg-Buch
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Descripción Springer-Verlag Gmbh Jun 2016, 2016. Buch. Estado de conservación: Neu. Neuware - The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory. 473 pp. Englisch. Nº de ref. de la librería 9783319306889

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Michel Grabisch
Editorial: Springer-Verlag Gmbh Jun 2016 (2016)
ISBN 10: 331930688X ISBN 13: 9783319306889
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Agrios-Buch
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Descripción Springer-Verlag Gmbh Jun 2016, 2016. Buch. Estado de conservación: Neu. Neuware - The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory. 473 pp. Englisch. Nº de ref. de la librería 9783319306889

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Grabisch, Michel (Author)
Editorial: Springer (2016)
ISBN 10: 331930688X ISBN 13: 9783319306889
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Revaluation Books
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Descripción Springer, 2016. Hardcover. Estado de conservación: Brand New. 9.25x6.25x1.25 inches. In Stock. Nº de ref. de la librería __331930688X

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