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Titlebook: Reduction of the Pareto Set; An Axiomatic Approac Vladimir D. Noghin Book 2018 Springer International Publishing AG 2018 Decision-making wi

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發(fā)表于 2025-3-21 17:57:59 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Reduction of the Pareto Set
副標題An Axiomatic Approac
編輯Vladimir D. Noghin
視頻videohttp://file.papertrans.cn/825/824568/824568.mp4
概述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 pref
叢書名稱Studies in Systems, Decision and Control
圖書封面Titlebook: Reduction of the Pareto Set; An Axiomatic Approac Vladimir D. Noghin Book 2018 Springer International Publishing AG 2018 Decision-making wi
描述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.
出版日期Book 2018
關鍵詞Decision-making with Several Numerical Criteria; Multicriteria Problems; Pareto Sets; Fuzzy Information
版次1
doihttps://doi.org/10.1007/978-3-319-67873-3
isbn_softcover978-3-319-88501-8
isbn_ebook978-3-319-67873-3Series ISSN 2198-4182 Series E-ISSN 2198-4190
issn_series 2198-4182
copyrightSpringer International Publishing AG 2018
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Completeness Property of Information Quanta, for any multicriteria choice problem from a definite (rather wide) class, it is possible to find the unknown set of nondominated vectors (nondominated alternatives) with an arbitrary accuracy only based on such information. Moreover, if the number of feasible vectors is finite, then the set of nondominated vectors can be constructed precisely.
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Decision-Making Based on Information Quanta: Methodology and Practice, reduction based on information quanta about the DM’s preference relation. The corresponding theoretical background can be found in the previous chapters, and here we describe the axiomatic approach without mathematical details, as well as give some recommendations on usage. In addition, possible wa
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2198-4182 teria problems given quantitative information about the prefThis 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-make
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978-3-319-88501-8Springer International Publishing AG 2018
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