An Intensive Study of Finite Dimensional Hesitant Fuzzy Normed Linear Spaces

Abstract

The author's previous covered the concept of fuzzy normed linear space into hesitant fuzzy normed linear space. This work introduces hesitant fuzzy n-normed linear space as a generalization of n-normed space in addition to the generic t-norm, which is the major objective, and provides an expanding family of S*-n-norms that correspond to fuzzy n-norms. The decomposition theorem of a hesitant fuzzy norm into a set of crisp norms has been proven to fail when a t-norm other than "min" is used. This paper also addresses essential conclusions for fuzzy normed linear spaces of limited dimensions within a broad t-norm framework.