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Similarity and Compatibility in Fuzzy Set Theory

Assessment and Applications

  • Valerie V. Cross
  • Thomas A. Sudkamp

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 93)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Introduction

    1. Valerie V. Cross, Thomas A. Sudkamp
      Pages 1-2
  3. Similarity, Compatibility, and Fuzzy Set Theory

    1. Front Matter
      Pages 3-3
    2. Valerie V. Cross, Thomas A. Sudkamp
      Pages 5-7
    3. Valerie V. Cross, Thomas A. Sudkamp
      Pages 9-16
    4. Valerie V. Cross, Thomas A. Sudkamp
      Pages 17-34
    5. Valerie V. Cross, Thomas A. Sudkamp
      Pages 35-44
    6. Valerie V. Cross, Thomas A. Sudkamp
      Pages 45-66
  4. Taxonomy of Compatibility Measures

    1. Front Matter
      Pages 67-69
    2. Valerie V. Cross, Thomas A. Sudkamp
      Pages 71-96
    3. Valerie V. Cross, Thomas A. Sudkamp
      Pages 97-132
    4. Valerie V. Cross, Thomas A. Sudkamp
      Pages 133-137
    5. Valerie V. Cross, Thomas A. Sudkamp
      Pages 139-142
  5. Empirical Analysis of Compatibility Measures

    1. Front Matter
      Pages 143-145
    2. Valerie V. Cross, Thomas A. Sudkamp
      Pages 147-151
    3. Valerie V. Cross, Thomas A. Sudkamp
      Pages 153-166
    4. Valerie V. Cross, Thomas A. Sudkamp
      Pages 167-176
    5. Valerie V. Cross, Thomas A. Sudkamp
      Pages 177-181
    6. Valerie V. Cross, Thomas A. Sudkamp
      Pages 183-187
  6. Back Matter
    Pages 189-209

About this book

Introduction

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.

Keywords

Approximate Reasoning Compatibility Fuzzy Fuzzy Inference Fuzzy Set Theory Similarity classification expert system set theory

Authors and affiliations

  • Valerie V. Cross
    • 1
  • Thomas A. Sudkamp
    • 2
  1. 1.Department of Computer Science and EngineeringUniversity of South CarolinaColumbiaUSA
  2. 2.Department of Computer ScienceWright State UniversityDaytonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7908-1793-5
  • Copyright Information Physica-Verlag Heidelberg 2002
  • Publisher Name Physica, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-7908-2507-7
  • Online ISBN 978-3-7908-1793-5
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site