Studies in Systems, Decision and Control

Reduction of the Pareto Set

An Axiomatic Approach

Authors: Noghin, Vladimir D.

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  • 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
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eBook $129.00
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  • ISBN 978-3-319-67873-3
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Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-67872-6
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  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $169.99
price for USA in USD
  • ISBN 978-3-319-88501-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this 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 “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)

Table of contents (8 chapters)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-3-319-67873-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-67872-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $169.99
price for USA in USD
  • ISBN 978-3-319-88501-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Reduction of the Pareto Set
Book Subtitle
An Axiomatic Approach
Authors
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