Set Functions, Games and Capacities in Decision Making (Theory and Decision Library C)
暫譯: 決策中的集合函數、遊戲與能力(理論與決策圖書館 C)

Michel Grabisch

  • 出版商: Springer
  • 出版日期: 2018-05-30
  • 售價: $6,540
  • 貴賓價: 9.5$6,213
  • 語言: 英文
  • 頁數: 473
  • 裝訂: Paperback
  • ISBN: 3319808672
  • ISBN-13: 9783319808673
  • 海外代購書籍(需單獨結帳)

商品描述

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.

商品描述(中文翻譯)

本書對集合函數、遊戲與能力,以及相對於能力和遊戲的積分進行了徹底的探討,並以數學嚴謹的方式呈現,並考慮到其在決策中的應用。在簡短的章節中介紹了一些所需的基本知識(線性規劃、聚合體、有序集合)和符號後,本書的第一部分由三個長章組成,發展數學方面的內容。這部分與特定的應用領域無關,並且以中立的數學風格,對最廣泛的讀者群體都有用。它匯集了許多在各個領域的文獻中散佈的結果和概念(遊戲理論、決策、組合優化和運籌學)。第二部分由三個章節組成,將前述概念應用於決策和建模:不確定性下的決策、多準則決策、可能性理論和Dempster-Shafer理論。

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