Soft Methods in Probability, Statistics and Data Analysis

ISBN: 978-3-7908-1526-9 (Print) 978-3-7908-1773-7 (Online)

Table of contents (38 chapters)

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  1. Front Matter

    Pages I-X

  2. Introductory Papers

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-26

      Quantitative Possibility Theory and its Probabilistic Connections

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      Book Chapter

      Pages 27-61

      Toward a Perception-Based Theory of Probabilistic Reasoning with Imprecise Probabilities

  3. Soft Methods in Probability: Fundamentals

    1. Front Matter

      Pages 63-63

    2. No Access

      Book Chapter

      Pages 65-75

      Independence and Conditioning in a Connectivistic Fuzzy Logic Framework

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      Book Chapter

      Pages 76-83

      About Ideals on the Set of Fuzzy Measures

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      Book Chapter

      Pages 84-91

      Operators for Convolution of Fuzzy Measures

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      Book Chapter

      Pages 92-97

      Probabilities of Fuzzy Events Based on Scalar Cardinalities

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      Book Chapter

      Pages 98-104

      On the Variation of the f-Inequality of a Random Variable

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      Book Chapter

      Pages 105-115

      Probability of Intuitionistic Fuzzy Events

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      Book Chapter

      Pages 116-125

      A New Calculus for Linguistic Prototypes in Data Analysis

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      Book Chapter

      Pages 126-133

      Upper Probabilities and Selectors of Random Sets

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      Book Chapter

      Pages 134-139

      On Multivalued Logic and Probability Theory

    11. No Access

      Book Chapter

      Pages 140-145

      Reversing the Order of Integration in Iterated Expectations of Compact Convex Random Sets

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      Book Chapter

      Pages 146-155

      Lower Previsions for Unbounded Random Variables

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      Book Chapter

      Pages 156-163

      A Hierarchical Uncertainty Model under Essentially Incomplete Information

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      Book Chapter

      Pages 164-169

      Imprecise Calculation with the Qualitative Information about Probability Distributions

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      Book Chapter

      Pages 170-177

      Approximation of Belief Functions by Minimizing Euclidean Distances

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      Book Chapter

      Pages 178-185

      Variants of Defining the Cardinalities of Fuzzy Sets

  4. Soft Methods in Statistics: Fuzzy Stochastic Models

    1. Front Matter

      Pages 187-187

    2. No Access

      Book Chapter

      Pages 189-196

      Probabilistic Reasoning in Fuzzy Rule-Based Systems

    3. No Access

      Book Chapter

      Pages 197-206

      Acceptance Sampling Plans by Variables for Vague Data

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      Book Chapter

      Pages 207-218

      Possibilistic Approach to the Bayes Statistical Decisions

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