If A is a maximal fuzzy set in N(X)( set of normal fuzzy sets on X), is it possible to find a fuzzy set B with A(x)<B(x) for some x in X?

A fuzzy set A is said to be normal if there exists x in X s.t. A(x)=1. I know the answer depends on the specific definition of maximality and I guess the answer is "yes".

09 April 2016 2,719 3 View