Reduction of the Pareto Set by Vladimir D. Noghin
Reduction of the Pareto Set

Reduction of the Pareto Set


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About the Book

This book focuses on the issues of decision-making with several numerical criteria. It introduces an original general approach to solving multicriteria problems given quantitative information about the preference relation of a decision-maker. It considers the problems with crisp as well as fuzzy preference relations, accepting the four axioms of Ȝreasonable choiceȝ. Further, it defines the notion of an information quantum about the preference relation of a decision-maker and studies the reduction of the Pareto set using a finite collection of information quanta, demonstrating that the original approach yields a good approximation for the set of nondominated alternatives in a multicriteria problem. Lastly, it analyzes a possible combination of the axiomatic approach with other well-known methods. Intended for a wide range of professionals involved in solving multicriteria problems, including researchers, design engineers, product engineers, developers and analysts, the book is also a valuable resource for undergraduate and postgraduate students of mathematics, economics, and engineering.


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Product Details
  • ISBN-13: 9783319678726
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: Studies in Systems, Decision and Control
  • Language: English
  • Returnable: Y
  • Spine Width: 16 mm
  • Weight: 580 gr
  • ISBN-10: 3319678728
  • Publisher Date: 06 Oct 2017
  • Binding: Hardback
  • Height: 234 mm
  • No of Pages: 232
  • Series Title: Studies in Systems, Decision and Control
  • Sub Title: An Axiomatic Approach
  • Width: 156 mm


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