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Titlebook: Soft Methods in Probability, Statistics and Data Analysis; Przemysław Grzegorzewski,Olgierd Hryniewicz,María Conference proceedings 2002

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发表于 2025-3-21 18:16:48 | 显示全部楼层 |阅读模式
书目名称Soft Methods in Probability, Statistics and Data Analysis
编辑Przemysław Grzegorzewski,Olgierd Hryniewicz,María
视频video
概述Includes supplementary material:
丛书名称Advances in Intelligent and Soft Computing
图书封面Titlebook: Soft Methods in Probability, Statistics and Data Analysis;  Przemysław Grzegorzewski,Olgierd Hryniewicz,María  Conference proceedings 2002
描述Classical probability theory and mathematical statistics appear sometimes too rigid for real life problems, especially while dealing with vague data or imprecise requirements. These problems have motivated many researchers to "soften" the classical theory. Some "softening" approaches utilize concepts and techniques developed in theories such as fuzzy sets theory, rough sets, possibility theory, theory of belief functions and imprecise probabilities, etc. Since interesting mathematical models and methods have been proposed in the frameworks of various theories, this text brings together experts representing different approaches used in soft probability, statistics and data analysis.
出版日期Conference proceedings 2002
关键词Analysis; Probability theory; Stochastic model; Stochastic models; data analysis; fuzzy; mathematical stat
版次1
doihttps://doi.org/10.1007/978-3-7908-1773-7
isbn_softcover978-3-7908-1526-9
isbn_ebook978-3-7908-1773-7Series ISSN 1867-5662 Series E-ISSN 1867-5670
issn_series 1867-5662
copyrightSpringer-Verlag Berlin Heidelberg 2002
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https://doi.org/10.1007/978-3-7908-1773-7Analysis; Probability theory; Stochastic model; Stochastic models; data analysis; fuzzy; mathematical stat
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On Multivalued Logic and Probability Theorysider the Lukasiewicz connectives ([2,7,15,16]) in the corresponding family of fuzzy sets as a base of the probability. First we present some typical methods of the theory on multivalued logics. Then we mention recent development of the theory.
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Soft Methods in Probability, Statistics and Data Analysis978-3-7908-1773-7Series ISSN 1867-5662 Series E-ISSN 1867-5670
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Probabilities of Fuzzy Events Based on Scalar CardinalitiesThe standard set of Bell-type inequalities is satisfied by the extension of probabilities to fuzzy events based on the axiomatic definition of scalar cardinality of a fuzzy set, even though the lattice defined by the intersection, union and negation of fuzzy sets in the sense of Zadeh is not a boolean algebra.
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On the Variation of the ,-Inequality of a Random VariableIn this paper we recall the definition of a generalized inequality index of a real-valued random variable, and present some new useful properties in which we analyze how this index varies in terms of the variable variation. This will serve us in a future to state set-valued inequality indices for certain random sets.
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