Applications

Abstract

Fuzzy sets and fuzzy logic are powerful mathematical tools for modeling and controlling uncertain systems in industry, humanity, and nature; they are facilitators for approximate reasoning in decision making in the absence of complete and precise information. Their role is significant when applied to complex phenomena not easily described by traditional mathematics. But due their limitations in the representation of reality that contains uncertainty or imprecision, we will focus on applying their extensions, especially the interval-valued fuzzy sets theory.