An Introduction to Fuzzy Implications.- An Introduction to Fuzzy Implications.- I: Analytical Study of Fuzzy Implications.- Fuzzy Implications from Fuzzy Logic Operations.- Fuzzy Implications from Generator Functions.- Intersections between Families of Fuzzy Implications.- Fuzzy Implications from Uninorms.- II: Algebraic Study of Fuzzy Implications.- Algebraic Structures of Fuzzy Implications.- Fuzzy Implications and Some Functional Equations.- III: Applicational Study of Fuzzy Implications.- Fuzzy Implications in Approximate Reasoning.

This book is the first ever to deal exclusively with this class of operations. It offers an introduction to Fuzzy Implications, an analytical study of them, and an algebraic exploration into the structures that exist on the set of all FIs.