Journals Proceedings

Abstract

Fuzzy logic system design has rapidly become one of the most successful of today's technologies for developing sophisticated logically designs system. Fuzzy logic addresses such applications perfectly as it resembles human decision making with an ability to generate precise solutions from certain or approximate information. Complex fuzzy logic is a generalization of traditional fuzzy logic, based on complex fuzzy sets. In complex fuzzy logic, inference rules are constructed and "fired" in a manner that closely parallels traditional fuzzy logic. The range of these membership functions is extended from the traditional fuzzy range of [0,1] to the unit circle in the complex plane, thus providing a method for describing membership in a set in terms of a complex number. Several mathematical properties of complex fuzzy sets, which serve as a basis for the derivation of complex fuzzy logic, are reviewed in this paper. These properties include basic set theoretic operations on complex fuzzy sets namely complex fuzzy union and intersection, complex fuzzy relations and their composition vector aggregation. A large numbers of fuzzy control applications with the physical systems require a real-time operation to interface high speed constraints; higher density programmable logic devices such as field programmable gate array can be used to integrate large amounts of logic in a single IC. The fuzzy design starts with an overview of engineering in order to get an idea about design architecture, and followed by an explanation on the hardware implementation with both type analogue and digital implementation, also provided in this system design application.