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

Author

Méndez, José Jairo Soriano ; Morales, Omar Salazar ; Gómez, Julián Barreiro ; Figueredo, Miguel Eduardo Hernández

Author_Institution

Eng. Dept., Univ. Distrital Francisco Jose de Caldas, Bogota, Colombia

Volume

2

fYear

2011

fDate

28-30 Oct. 2011

Firstpage

74

Lastpage

77

Abstract

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.

Keywords

Boolean algebra; fuzzy set theory; Boolean formulas; finite algebras; fuzzy formulas; fuzzy sets theory; simplification method; Absorption; Arrays; Fuzzy logic; Fuzzy sets; Lattices; Minimization; algebra; algorithms; formula manipulation; fuzzy sets;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Design (ISCID), 2011 Fourth International Symposium on

Conference_Location

Hangzhou

Print_ISBN

978-1-4577-1085-8

Type

conf

DOI

10.1109/ISCID.2011.120

Filename

6079740