A study on interval-valued generalized fuzzy n-normed linear space

Abstract

Following the definition of interval-valued fuzzy n-normed linear space given by S. Vijayabalaji et al., in this paper, the notion of interval-valued generalized fuzzy n-normed linear space is introduced. The notion of convergent sequence, Cauchy sequence and their relation are studied. Some basic results are established on finite-dimensional interval-valued generalized fuzzy n-normed linear space.