On σ-uniform density and ideal convergent sequences of fuzzy real numbers

Abstract

An ideal I is a family of subsets of positive integers $\mathbb{N}$ which is closed under taking finite unions and subsets of its elements. In this paper we have introduced ideal convergent sequences of fuzzy real numbers using σ-uniform density. Furthermore, inclusion between Iσ-convergence and invariant convergence also Iσ-convergence and $[V_{\sigma}]^{F}_p$-convergence were given.