Similarity and Compatibility in Fuzzy Set Theory

Assessment and Applications

Valerie V. Cross

210 pages, parution le 28/03/2002

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Résumé

Assessing the degree to which two objects, an object and a query, or two concepts are similar or compatible is a fundamental component of human reasoning and consequently is critical in the development of automated diagnosis, classification, information retrieval and decision systems. The assessment of similarity has played an important role in such diverse disciplines such as taxonomy, psychology, and the social sciences. Each discipline has proposed methods for quantifying similarity judgments suitable for its particular applications. This book presents a unified approach to quantifying similarity and compatibility within the framework of fuzzy set theory and examines the primary importance of these concepts in approximate reasoning. Examples of the application of similarity measures in various areas including expert systems, information retrieval, and intelligent database systems are provided.

Contents

Introduction.

Part I. Similarity, Compatibility, and Fuzzy Set Theory

The Nature of Similarity;
Historic Assessment of Compatibility;
Foundations of Fuzzy Set Theory;
Compatibility in Fuzzy Inference;
Compatibility in Approximate Reasoning.

Part II. Taxonomy of Compatibility Measures

Set-Theoretic Measures;
Proximity-Based Measures;
Logic-Based Measures;
Fuzzy-Valued Similarity Measures.

Part III. Empirical Analysis of Compatibility Measures

Generic Classification Domain;
Set-Theoretic Comparative Study;
Proximity-Based Comparative Study;
Logic-Based Comparative Study;
Comparison Among the Three Classes.

References.
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Physica-Verlag
Auteur(s)	Valerie V. Cross
Parution	28/03/2002
Nb. de pages	210
Format	16 x 24
Couverture	Relié
Poids	451g
Intérieur	Noir et Blanc
EAN13	9783790814583