A First Approach in the Implementation of the Simplification Method of Boolean and Fuzzy Formulas Based on Finite Algebras

In several aspects of the fuzzy sets theory and its applications, it is convenient to do some manipulations on the formulas that are proposed in order to obtain some enhancements in methods such as in design and implementation. Currently, the proper fuzzy sets characteristics do not let Boolean simplification methods be applied in an effective way, and consequently, the algorithm solutions proposed so far for these methods cannot be used. This paper presents preliminary ideas in the first algorithmic implementation design of a simplification method of Boolean and fuzzy formulas by using finite algebras.