A new type of difference I-convergent sequence in IFnNS

Abstract

In this paper, we introduce the notion of a generalized difference I-convergent (i.e.Δm-I-convergent) and difference I-Cauchy (i.e.Δm-I-Cauchy) sequence in intuitionistic fuzzy n-normed spaces. Further, we prove some results related to this notion. Also, we study the concepts of a generalized difference I*-convergent (i.e.Δm-I*-convergent) sequence in intuitionistic fuzzy n-normed spaces and show the relation between them.

Keywords

• difference sequences
• i-convergence
• i-cauchy
• i*-convergence
• intuitionistic fuzzy n-norm space