Problems with the defuzzification method and a new representation using Lukasiewicz logic
S. Kundu, Jianhua Chen · 2002
We show that the common defuzzification method has some major deficiencies in regard to certain formal logical properties among rules like AND-equivalence, contrapositive-equivalence, chaining-property, etc. To correct this problem, we present a new method for representing a function y=g(x) using a rule set based on Lukasiewicz's logic L/sub /spl aleph//. The method introduces two sets of normalized fuzzy concepts.>