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Titlebook: Quantitative Pareto Analysis by Cone Separation Technique; Ignacy Kaliszewski Book 1994 Springer Science+Business Media New York 1994 Appr

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书目名称Quantitative Pareto Analysis by Cone Separation Technique
编辑Ignacy Kaliszewski
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图书封面Titlebook: Quantitative Pareto Analysis by Cone Separation Technique;  Ignacy Kaliszewski Book 1994 Springer Science+Business Media New York 1994 Appr
描述This work results from my interest in the field of vector optimiza­ tion. I stumbled first upon this subject in 1982 during my six months visit to the Istituto di Elaborazione della Informazione in Pisa, Italy, supported by a fellowship of the (Italian) Consiglio Nationale delle Richerche. I was attracted then by a gap between vector optimiza­ tion used to serve as a formal model for multiple objective decision problems and the decision problems themselves, the gap nonexis­ tent in scalar optimization. Roughly speaking, vector optimization provides methods for ranking decisions according to a partial order whereas decision making requires a linear ordering of decisions. The book deals with vector optimization. However, vector opti­ mization is considered here not only as a topic of research in itself but also as a basic tool for decision making. In consequence, all results presented here are aimed at exploiting and understanding the structure of elements (decisions) framed by a vector optimiza­ tion problem with the underlying assumption that the results should be interpretable in terms and applicable in the context of decision making. Computational tractability of results is there
出版日期Book 1994
关键词Approximation; Vector optimization; calculus; model; optimization
版次1
doihttps://doi.org/10.1007/978-1-4615-2772-5
isbn_softcover978-1-4613-6197-8
isbn_ebook978-1-4615-2772-5
copyrightSpringer Science+Business Media New York 1994
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Substantial Efficiency,t for the existence of such a bound is strong. For example, it follows from the definition of gain-to-loss ratios and trade-offs (Subsection 5.5.1) that the necessary condition for the existence of such a bound for a given element . is the existence of all the trade-offs ., whenever .. Nevertheless,
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Book 1994 are aimed at exploiting and understanding the structure of elements (decisions) framed by a vector optimiza­ tion problem with the underlying assumption that the results should be interpretable in terms and applicable in the context of decision making. Computational tractability of results is there
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Basic Elements,ve decision making. Because of that we confine ourselves to problems whose objective spaces are finite dimensional real spaces. Within this limitation we would like to have our results as general as possible and to fulfill this aim the whole methodology of the . is developed under very mild assumptions.
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sit to the Istituto di Elaborazione della Informazione in Pisa, Italy, supported by a fellowship of the (Italian) Consiglio Nationale delle Richerche. I was attracted then by a gap between vector optimiza­ tion used to serve as a formal model for multiple objective decision problems and the decision
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