Book Structure on Fuzzy Sets Extension and Application
A book on Fuzzy Sets Extension and Application typically follows a structure that first establishes the fundamental concepts, then delves into extensions and applications , according to O'Reilly's "Fuzzy Set and Its Extension" and a book on engineering applications of fuzzy logic. This includes introductory sections on fuzzy sets, membership functions, and fuzzy relations, followed by more advanced topics like fuzzy numbers, fuzzy integrals, and fuzzy logic. The book then transitions to practical applications, demonstrating how these concepts are used in decision-making, image processing, control systems, and other fields. Here's a more detailed breakdown of a typical book structure: Part 1: Fundamentals of Fuzzy Sets Chapter 1: Introduction to Fuzzy Sets: This chapter would define fuzzy sets, contrast them with classical (crisp) sets, and introduce the concept of membership functions. Chapter 2: Mathematical Representation and Operations: This wou...