Equilibrium point of representable moore continuous n-dimensional interval fuzzy negations

Abstract

n-dimensional interval fuzzy sets are a type of fuzzy sets which consider ordered n-tuples in [0, 1]n as membership degree. This paper considers the notion of representable n-dimensional interval fuzzy negations, in particular, these that are Moore continuous, proposed in a previous paper of the authors, and we study some conditions that guarantee the existence of equilibrium point in classes of representable (Moore continuous) n-dimensional interval fuzzy negations. In addition, we prove that the changing of the dimensions of representable Moore continuous n-dimensional fuzzy negations inherits their equilibrium points.