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Titlebook: Generalized Concavity in Fuzzy Optimization and Decision Analysis; Jaroslav Ramík,Milan Vlach Book 2002 Springer Science+Business Media Ne

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书目名称Generalized Concavity in Fuzzy Optimization and Decision Analysis
编辑Jaroslav Ramík,Milan Vlach
视频video
丛书名称International Series in Operations Research & Management Science
图书封面Titlebook: Generalized Concavity in Fuzzy Optimization and Decision Analysis;  Jaroslav Ramík,Milan Vlach Book 2002 Springer Science+Business Media Ne
描述Convexity of sets in linear spaces, and concavity and convexityof functions, lie at the root of beautiful theoretical results thatare at the same time extremely useful in the analysis and solution ofoptimization problems, including problems of either single objectiveor multiple objectives. Not all of these results rely necessarily onconvexity and concavity; some of the results can guarantee that eachlocal optimum is also a global optimum, giving these methods broaderapplication to a wider class of problems. Hence, the focus of thefirst part of the book is concerned with several types of generalizedconvex sets and generalized concave functions. In addition to theirapplicability to nonconvex optimization, these convex sets andgeneralized concave functions are used in the book‘s second part,where decision-making and optimization problems under uncertainty areinvestigated. .Uncertainty in the problem data often cannot be avoided when dealingwith practical problems. Errors occur in real-world data for a host ofreasons. However, over the last thirty years, the fuzzy set approachhas proved to be useful in these situations. It is this approach tooptimization under uncertainty that is exten
出版日期Book 2002
关键词addition; calculus; optimization; scheduling; sets
版次1
doihttps://doi.org/10.1007/978-1-4615-1485-5
isbn_softcover978-1-4613-5577-9
isbn_ebook978-1-4615-1485-5Series ISSN 0884-8289 Series E-ISSN 2214-7934
issn_series 0884-8289
copyrightSpringer Science+Business Media New York 2002
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https://doi.org/10.1007/978-3-0348-9313-8it interval [0,1]. The reason for this restriction comes from applications to real-world problems. There exist many practical situations, e.g., in decision making, economics and business, and also in technical or technological disciplines, where such functions play an essential role. These applications will be dealt with in Part II.
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Triangular Norms and ,-Quasiconcave Functionsit interval [0,1]. The reason for this restriction comes from applications to real-world problems. There exist many practical situations, e.g., in decision making, economics and business, and also in technical or technological disciplines, where such functions play an essential role. These applications will be dealt with in Part II.
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https://doi.org/10.1007/978-3-0348-5671-3ll the individual aggregated values. This chapter serves as a theoretical background for applications mainly in the area of decision analysis, decision making or decision support. In decision making, values to be aggregated are typically preference or satisfaction degrees. A preference degree, e.g.,
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Kommunikation auf Anwendungsebeneracteristic functions, see, e.g., [11], [32] and [57]. While this may be advantageous in some contexts, we should notice that the notion of a characteristic function is more complex than the notion of a subset. Indeed, the characteristic function χ. of a subset . of . is defined by [EQ139-1] Since χ
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Technikgestaltung aus Frauenperspektiveeasuring physical quantities, from errors caused by representing some data in a computer, from the fact that some data are approximate solutions of other problems or estimations by human experts, etc. In some of these situations, the fuzzy set approach may be applicable. In the context of multicrite
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Zahlendarstellung und numerische Fehlerof objective functions on a given set of alternatives in such a way that more preferable alternatives have higher values. The values of the objective function describe effects from choices of the alternatives. In economic problems, for example, these values may reflect profits obtained when using va
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