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Fuzzy Statistical Decision-Making: Theory and Applications

✍ Scribed by Cengiz Kahraman, Γ–zgΓΌr Kabak (eds.)

Publisher
Springer International Publishing
Year
2016
Tongue
English
Leaves
358
Series
Studies in Fuzziness and Soft Computing 343
Edition
1
Category
Library
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✦ Synopsis

This book offers a comprehensive reference guide to fuzzy statistics and fuzzy decision-making techniques. It provides readers with all the necessary tools for making statistical inference in the case of incomplete information or insufficient data, where classical statistics cannot be applied. The respective chapters, written by prominent researchers, explain a wealth of both basic and advanced concepts including: fuzzy probability distributions, fuzzy frequency distributions, fuzzy Bayesian inference, fuzzy mean, mode and median, fuzzy dispersion, fuzzy p-value, and many others. To foster a better understanding, all the chapters include relevant numerical examples or case studies. Taken together, they form an excellent reference guide for researchers, lecturers and postgraduate students pursuing research on fuzzy statistics. Moreover, by extending all the main aspects of classical statistical decision-making to its fuzzy counterpart, the book presents a dynamic snapshot of the field that is expected to stimulate new directions, ideas and developments.

✦ Table of Contents

Front Matter....Pages i-xii
Fuzzy Statistical Decision-Making....Pages 1-12
Fuzzy Probability Theory I: Discrete Case....Pages 13-34
Fuzzy Probability Theory II: Continuous Case....Pages 35-54
On Fuzzy Bayesian Inference....Pages 55-64
Fuzzy Central Tendency Measures....Pages 65-83
Fuzzy Dispersion Measures....Pages 85-99
Sufficiency, Completeness, and Unbiasedness Based on Fuzzy Sample Space....Pages 101-118
Fuzzy Confidence Regions....Pages 119-127
Fuzzy Extensions of Confidence Intervals: Estimation for Β΅, Οƒ2, and p....Pages 129-154
Testing Fuzzy Hypotheses: A New p-value-based Approach....Pages 155-173
Fuzzy Regression Analysis: An Actuarial Perspective....Pages 175-201
Fuzzy Correlation and Fuzzy Non-linear Regression Analysis....Pages 203-220
Fuzzy Decision Trees....Pages 221-261
Fuzzy Shewhart Control Charts....Pages 263-280
Fuzzy EWMA and Fuzzy CUSUM Control Charts....Pages 281-295
Linear Hypothesis Testing Based on Unbiased Fuzzy Estimators and Fuzzy Significance Level....Pages 297-313
A Practical Application of Fuzzy Analysis of Variance in Agriculture....Pages 315-327
A Survey of Fuzzy Data Mining Techniques....Pages 329-354
Back Matter....Pages 355-356

✦ Subjects

Computational Intelligence;Statistical Theory and Methods;Operation Research/Decision Theory

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