Pairwise Comparison Matrices and Their Fuzzy Extension: Multi-Criteria Decision Making with a New Fuzzy Approach
暫譯: 成對比較矩陣及其模糊擴展:以新型模糊方法進行多準則決策制定

Krejči, Jana

  • 出版商: Springer
  • 出版日期: 2019-02-08
  • 售價: $8,090
  • 貴賓價: 9.5$7,686
  • 語言: 英文
  • 頁數: 273
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3030085198
  • ISBN-13: 9783030085193
  • 海外代購書籍(需單獨結帳)

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商品描述

This book offers the first comprehensive and critical literature review of fuzzy pairwise comparison methods derived from methods originally developed for crisp pairwise comparison matrices. It proposes new fuzzy extensions of these methods and provides a detailed study of the differences and analogies between all the reviewed methods, as well as a detailed description of their drawbacks, with the help of many numerical examples. In order to prevent the drawbacks related to the reviewed fuzzy pairwise comparison methods, the book introduces constrained fuzzy arithmetic in fuzzy extension of the pairwise comparison methods. It proposes new fuzzy pairwise comparison methods based on constrained fuzzy arithmetic and critically compares them with the reviewed methods. It describes the application of the newly developed methods to incomplete large-dimensional pairwise comparison matrices showcased in a real-life case study. Written for researchers, graduate and PhD students interested in multi-criteria decision making methods based on both crisp and fuzzy pairwise comparison matrices, this self-contained book offers an overview of cutting-edge research and all necessary information to understand the described tools and use them in real-world applications.

商品描述(中文翻譯)

本書提供了針對模糊成對比較方法的首個全面且批判性的文獻回顧,這些方法源自於最初為清晰成對比較矩陣所開發的方法。它提出了這些方法的新模糊擴展,並詳細研究了所有回顧方法之間的差異和類似之處,以及它們的缺點,並輔以許多數值範例。為了防止與回顧的模糊成對比較方法相關的缺點,本書在模糊成對比較方法的擴展中引入了受限模糊算術。它基於受限模糊算術提出了新的模糊成對比較方法,並對這些方法與回顧的方法進行了批判性的比較。書中描述了新開發的方法在不完整的大維度成對比較矩陣中的應用,並在一個真實案例研究中展示。這本自成一體的書籍是為對基於清晰和模糊成對比較矩陣的多準則決策方法感興趣的研究人員、碩士生和博士生而寫,提供了前沿研究的概述以及理解所描述工具和在現實應用中使用它們所需的所有信息。

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