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Reduction of the Pareto Set An Axiomatic Approach /
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 pre...
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| Müşterek Yazar: | |
| Materyal Türü: | e-Kitap |
| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
Cham :
Springer International Publishing : Imprint: Springer,
2018.
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| Edisyon: | 1st ed. 2018. |
| Seri Bilgileri: | Studies in Systems, Decision and Control,
126 |
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| Online Erişim: | Full-text access OPAC'ta görüntüle |
| Özet: | 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. |
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| Fiziksel Özellikler: | XIX, 232 p. 24 illus. online resource. |
| ISBN: | 9783319678733 |
| ISSN: | 2198-4190 ; |
| DOI: | 10.1007/978-3-319-67873-3 |