Abstract
n-dimensional fuzzy sets are an generalizing some extensions of fuzzy sets, such as, interval-valued fuzzy sets, interval-valued Atanassov intuitionistic fuzzy sets and fuzzy mul-tisets, where the membership values are n-truples of real numbers in the unit interval [0, 1] ordered in increasing order, called n-dimensional intervals. The set of n-dimensional intervals is denoted by L n ([0, 1]). This paper aims to consider the definitions (continuous) Moore metric and n-dimensional interval fuzzy sets for characterizing the notion of (continuous) n-dimensional interval Moore metric and prove some results about them. In addition, we consider the intuitive notion of n-dimensional interval fuzzy negation to define the notion of continuity for changing of the dimensions of Moore continuous n-dimensional interval fuzzy negations.
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