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　　分類: 图书,进口原版书,科学与技术 Science & Techology ,

作者： Carlo Bertoluzza等著

出 版 社：

出版时间： 2002-9-1字数：版次： 1页数： 309印刷时间： 2002/09/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9783790814408包装： 精装内容简介

The contributions in this book connect Probability Theory/Statistics and Fuzzy Set Theory in different ways. Some of these connections are either philosophical or theoretical in nature, but most of them state models and methods to work with fuzzy data (or fuzzy perception) when dealing with random experiments. In this way, several probabilistic studies are developed, as well as techniques and criteria to get descriptive and inferential statistical conclusions from fuzzy data. On the other hand, some studies have been devoted to fuzzy measures and their relationship with measures in Probability Theory.

目录

Foreword

Preface

Contents

PART 1. FUZZINESS AND RANDOMNESS

Fuzziness and randomness

PART 2. FUZZY-VALUED RANDOM ELEMENTS

On the variance of random fuzzy variables

f-inequality indices for fuzzy random variables

Traditional techniques to prove some limit theorems for fuzzy random variables

Convergence in graph for fuzzy valued martingales and smartingales

Remarks on Korovkin-type approximation of fuzzy random variables

Several notions of differentiability for fuzzy set-valued mappings

PART 3. POSSIBILITY, PROBABILITY AND FUZZY MEASURES

Average level of a fuzzy set

Second order possibility measure induced by a fuzzy random variable

Measure extension from meet-systems and falling measures representation

The structure of fuzzy measure families induced by upper and lower probabilities

Statistical classes and fuzzy set theoretical classification of probability distributions

PART 4. STATISTICS AND FUZZY DATA ANALYSIS

Statistics with one-dimensional fuzzy data

Testing fuzzy hypotheses with vague data

Possibilistic interpretation of fuzzy statistical tests

Possibilistic regression analysis

Linear regression in a fuzzy context. The least square method

Linear regression with random fuzzy observations

INDEX

 

 

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