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

Authors:
Bipan Hazarika
Affiliations:
Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, India
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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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.