Introduction to Fuzzy Logic

Abstract

This book mixes concepts of different areas of knowledge or technologies, such as databases, system architecture design, SQL language, programming concepts and logic, mathematics, and so forth. These concepts are introduced where they correspond, although we have not intended this book to be an introduction to databases or information systems. An important part of this book utilizes the fuzzy logic. For that reason we will begin by introducing some basic concepts of the theory of fuzzy sets as well as the notation used in this book. In this summary we will focus on the semantic aspects and those of representation associated with this important theoretical tool. In written sources we can find a large number of papers dealing with this theory, which was first introduced by L.A. Zadeh1 in 1965 (Zadeh, 1965). A compilation of some of the most interesting articles published by Zadeh on the theme can be found in Yager et al. (1987). Dubois and Prade (1980, 1988) and Zimmerman (1991) bring together the most important aspects behind the theory of fuzzy sets and the theory of possibility.