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Applications of Tauberian theorem in Orlicz spaces of double difference sequences of fuzzy numbers

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This article is published in Journal of Intelligent and Fuzzy Systems.The article was published on 2018-01-01. It has received 4 citations till now. The article focuses on the topics: Fuzzy number.

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Journal ArticleDOI

Applications of Tauberian theorems for double sequences of fuzzy numbers via De La Vallée Poussin mean

TL;DR: It is proved that a bounded double sequence of fuzzy number which is Δ u r - convergent is ( C , 1 , 1 ) Δ u u - summable to the same fuzzy number L .
Journal ArticleDOI

Orlicz lacunary sequence spaces of -fractional difference operators

TL;DR: In this article, a new approach is proposed to study some lambda ǫ-fractional convergent, lambda √ fractional null and lambda ∆-frractional bounded sequence spaces.
References
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Book

Fuzzy sets

TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Book

Orlicz Spaces and Modular Spaces

TL;DR: In this paper, a family of modulars depending on a parameter is described, and some applications of modular spaces are discussed, including orlicz spaces and countably modulared spaces.
Journal ArticleDOI

Metric spaces of fuzzy sets

TL;DR: In this article, two classes of metrics for spaces of fuzzy sets are introduced and their equivalence and basic properties established, and a characterisation of compact and locally compact subsets is given in terms of boundedness and p-mean equileft-continuity.
Journal ArticleDOI

On Certain Sequence Spaces

TL;DR: In this paper, the authors define the spaces l ∞(Δ), c( Δ), and c0(δ) for mapping a matrix A to a matrix C ∞ (Δ) and determine necessary and sufficient conditions for a matrix c ∞ or c( Δ) to map A to map l∞ or C into l ∆ or c, and investigate related questions.
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