Title :
On Minimization of Fuzzy Functions
Author_Institution :
Department of Computer Science, New Mexico Institute of Mining and Technology, Socorro, N. Mex. 87801.
Abstract :
The study of fuzziness in combinational switching systems by means of a suitable fuzzy algebra is discussed. The insufficiency of the methods for simplification of fuzzy functions as presented by Lee and Chang [9] and by Siy and Chen [10] is discussed. A new technique for minimization of fuzzy functions is developed. Special properties of fuzzy functions are discussed and their relationships to two-valued logic are investigated.
Keywords :
Algebra; Artificial intelligence; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Minimization; Set theory; Space technology; Switching systems; Essential fuzzy prime implicant; fuzzy algebra; fuzzy function; fuzzy iterated consensus; fuzzy logic; minimization;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1973.5009172