- Focuses on the issues of decision-making with several numerical criteria
- Introduces an original general approach to the solution of multicriteria problems given quantitative information about the preference relation of a decision-maker
- Intended for a wide range of professionals involved in solving multicriteria problems, including researchers, design engineers, product engineers, developers and analysts
Buy this book
- About this book
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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 “reasonable choice”. 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.
- Table of contents (8 chapters)
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Edgeworth-Pareto Principle
Pages 1-22
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Pareto Set Reduction Based on Elementary Information Quantum
Pages 23-50
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Pareto Set Reduction Based on General Information Quantum
Pages 51-66
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Pareto Set Reduction Using Elementary Collections of Information Quanta
Pages 67-95
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Pareto Set Reduction Based on Collections of Information Quanta
Pages 97-138
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Table of contents (8 chapters)
- Download Preface 1 PDF (45.4 KB)
- Download Sample pages 2 PDF (631.3 KB)
- Download Table of contents PDF (228.5 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Reduction of the Pareto Set
- Book Subtitle
- An Axiomatic Approach
- Authors
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- Vladimir D. Noghin
- Series Title
- Studies in Systems, Decision and Control
- Series Volume
- 126
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing AG
- eBook ISBN
- 978-3-319-67873-3
- DOI
- 10.1007/978-3-319-67873-3
- Hardcover ISBN
- 978-3-319-67872-6
- Softcover ISBN
- 978-3-319-88501-8
- Series ISSN
- 2198-4182
- Edition Number
- 1
- Number of Pages
- XIX, 232
- Number of Illustrations
- 24 b/w illustrations
- Topics
