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New & Forthcoming Titles | Similarity and Compatibility in Fuzzy Set Theory - Assessment and Applications

Similarity and Compatibility in Fuzzy Set Theory

Assessment and Applications

Cross, Valerie V., Sudkamp, Thomas A.

2002, XI, 209 p.

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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.

Content Level » Professional/practitioner

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

Related subjects » Artificial Intelligence - Security and Cryptology

Table of contents 

1. Introduction.- 2. The Nature of Similarity.- 3. Historic Assessment of Compatibility.- 4. Foundations of Fuzzy Set Theory.- 5. Compatibility in Fuzzy Inference.- 6. Compatibility in Approximate Reasoning.- 7. Set-Theoretic Measures.- 8. Proximity-Based Measures.- 9. Logic-Based Measures.- 10. Fuzzy-Valued Similarity Measures.- 11. Generic Classification Domain.- 12. Set-Theoretic Comparative Study.- 13. Proximity-Based Comparative Study.- 14. Logic-Based Comparative Study.- 15. Comparison Among the Three Classes.- Index of Notation.- References.

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