(Ebook) Fuzzy Set Theory Applications in the Social Sciences 1st edition by Michael Smithson, Jay Verkuilen 076192986X 9780761929864

(Ebook) Fuzzy Set Theory Applications in the Social Sciences 1st edition by Michael Smithson, Jay Verkuilen 076192986X 9780761929864

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ISBN-10 :  076192986X 

ISBN-13 :  9780761929864

Author:  Michael Smithson, Jay Verkuilen 

Fuzzy set theory deals with sets or categories whose boundaries are blurry or, in other words, "fuzzy." This book presents an accessible introduction to fuzzy set theory, focusing on its applicability to the social sciences.Unlike most books on this topic, Fuzzy Set Theory: Applications in the Social Sciences provides a systematic, yet practical guide for researchers wishing to combine fuzzy set theory with standard statistical techniques and model-testing.

Fuzzy Set Theory: Applications in the Social Sciences 1st Table of contents:

1. Introduction

2. An Overview of Fuzzy Set Mathematics

2.1 Set Theory 2.2 Why Fuzzy Sets?

2.3 The Membership Function

2.4 Operations of Fuzzy Set Theory

2.5 Fuzzy Numbers and Fuzzy Variables

2.6 Graphical Representations of Fuzzy Sets

3. Measuring Membership

3.1 Introduction 

3.2 Methods for Constructing Membership Functions

3.3 Measurement Properties Required for Fuzzy Sets

3.4 Measurement Properties of Membership Functions

3.5 Uncertainty Estimates in Membership Assignment

4. Internal Structure and Properties of a Fuzzy Set

4.1 Cardinality: The Size of a Fuzzy Set

4.2 Probability Distributions for Fuzzy Sets

4.3 Defining and Measuring Fuzziness

5. Simple Relations Between Fuzzy Sets

5.1 Intersection, Union, and Inclusion

5.2 Detecting and Evaluating Fuzzy Inclusion

5.3 Quantifying and Modeling Inclusion: Ordinal Membership Scales

5.4 Quantified and Comparable Membership Scales

6. Multivariate Fuzzy Set Relations

6.1 Compound Set Indexes

6.2 Multiset Relations: Comorbidity, Covariation, and Co-Occurrence

6.3 Multiple and Partial Intersection and Inclusion

7. Concluding

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Tags: Fuzzy Set, Theory, Applications, he Social Sciences, Michael Smithson, Jay Verkuilen