Chapter 1: The Fuzzy Theoretic Turn.- Chapter 2: Membership functions.- Chapter 3: The evolution of the notion of overlap functions.- Chapter 4: Interpolative reasoning: valid, specificity-gradual.- Chapter 5: A similarity-based three-valued modal logic approach to reason with prototypes and counterexamples.- Chapter 6: Analogy.- Chapter 7: The role of the context in decision and optimization problems.- Chapter 8: Decision rules under vague and uncertain information.- Chapter 9: Abstract Models for Systems Identification.- Chapter 10: Fuzzy Systems Interpretability: What, Why and How.- Chapter 11: Fuzzy Clustering Models and Their Related Concepts.