Fuzzy Logic & Fuzzy Decision Systems: A Comprehensive Review

Abstract

Fuzzy logic, first introduced by Lotfi Zadeh in 1965, has become a cornerstone in handling uncertainty and imprecision in complex systems. Unlike classical Boolean logic, which operates on crisp true or false values, fuzzy logic allows reasoning with degrees of truth, making it highly suitable for real-world problems where ambiguity is inherent. Fuzzy decision systems (FDS), which employ fuzzy logic for decision-making, have seen widespread application in control systems, expert systems, medical diagnosis, industrial automation, and financial decision-making. This paper presents a comprehensive review of fuzzy logic principles, fuzzy set theory, fuzzy inference systems, and fuzzy decision-making frameworks. It also highlights recent advances, applications, challenges, and future directions. The goal is to provide an accessible but detailed reference for researchers, engineers, and practitioners working in the field of soft computing and intelligent systems.

KEYWORDS: Fuzzy logic, fuzzy sets, fuzzy inference systems, fuzzy decision systems, soft computing, uncertainty modeling, Mamdani, Sugeno, expert systems.