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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