Ayhan Esi

On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence

Abstract In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence. It is also shown that if a sequence of fuzzy numbers is strong λ(p) convergent with respect to an Orlicz function then it is λ(p) – statistically convergent.

On some new type generalized difference sequence spaces

In this paper we introduce a new type of difference operator Δmn for fixed m, n ∈ ℕ. We define the sequence spaces ℓ∞(Δmn), c(Δmn) and c0(Δmn) and study some topological properties of these spaces. We obtain some inclusion relations involving these sequence spaces. These notions generalize many earlier existing notions on difference sequence spaces.

λ-ideal convergence in intuitionistic fuzzy 2-normed linear space

An ideal I is a family of subsets of positive integers

Λ-strongly summable sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function

\mathbb{N}

Strongly Summable Double Sequence Spaces in n-Normed Spaces Defined by Ideal Convergence and an Orlicz Function

which is closed under taking finite unions and subsets of its elements. In [8], Kostyrko et al., introduced the concept of ideal convergence as a sequence xk of real numbers is said to be I-convergent to a real number

Some Orlicz extended ℐ-convergent A-summable classes of sequences of fuzzy numbers

\ell

Double sequences of interval numbers defined by Orlicz functions

, if for each e > 0 the set

On Λ-statistical convergence in random 2-normed space

\{k\in\mathbb{N}:|x_{k}-\ell|\geq\varepsilon\}

On Lacunary Almost Statistical Convergence of Generalized Difference Sequences of Fuzzy Numbers

belongs to I. The aim of this paper is to introduce and study the notion of λ-ideal convergence in intuitionistic fuzzy 2-normed space as a variant of the notion of ideal convergence. Also Iλ-limit points and Iλ-cluster points have been defined and the relation between them has been establish. Furthermore, Cauchy and Iλ-Cauchy sequences are introduced and studied.

On ideal convergent interval valued generalized difference classes defined by Orlicz function

In this paper we introduce some certain new sequence spaces via ideal convergence, λ-sequence and an Orlicz function in n-normed spaces and study different properties of these spaces and also establish some inclusion results among them.