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1
A study of fuzzy anti-lambda-ideal convergent triple sequence spaces
Idrisi Mohammad Imran, Saini Kavita, Ahmad Mobeen, Aslam Sumaira
Journal of Applied Analysis
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2023
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Vol. 29, nr 2
353--358
EN
A class with ambiguous status of its elements by a membership function that assigns to each element a grade in the close interval [0, 1]; Lofti Zadeh introduced this idea into theory as fuzzy sets in the year of 1965. A study of fuzzy anti-normed linear spaces by Kočinac on some topological properties motivated us to work on fuzzy anti-normed triple sequence spaces with respect to ideal by using compact linear operator. Further, we prove some theorems, particularly on convergence and completeness.
2
Content available Some strongly almost summable sequence spaces
Sharma S. K., Esi A.
Journal of Mathematics and Applications
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2017
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Vol. 40
171--183
EN
In the present paper we introduce some strongly almost summable sequence spaces using ideal convergence and Musielak-Orlicz function M = (Mk) in n-normed spaces. We examine some topological properties of the resulting sequence spaces.
3
Content available remote On Wijsman I2-lacunary statistical convergence for double set sequences
Kіşі Ö.
Fasciculi Mathematici
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2016
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Nr 57
91--104
EN
The aim of present work is to present some inclusion relations between the concepts of Wijsman I2-lacunary statistical convergence and Wijsman strongly I2-lacunary convergence for double sequences of sets. Also we study the concepts of Wijsman I2-lacunary statistical convergence, Wijsman I2- lacunary statistical convergence double sequences of sets and investigate the relationship among them.
4
Content available remote On some I-convergent double sequence spaces of fuzzy real numbers defined by modulus function
Das M.
Fasciculi Mathematici
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2015
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Nr 55
19--28
EN
In this article our aim to introduce some new I-convergent double sequence spaces of fuzzy real numbers defined by modulus function and studies their some topological and algebraic properties. Also we establish some inclusion relations.
5
Content available remote Some classes of ideal convergent difference sequence spaces of fuzzy numbers defined by Orlicz function
Hazarika B
Fasciculi Mathematici
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2014
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Nr 52
45--63
EN
An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. In [25], 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 l, if for each Ɛ > 0 the set {k N : |xk - l| > Ɛ} belongs to I. In this article we introduce the concept of ideal convergent sequence of fuzzy numbers using difference operator and Orlicz functions and study their basic facts. Also we investigate the different algebraic and topological properties of these classes of sequences.
6
Content available remote Rough I-convergence
Dündar E., Çakan C.
Demonstratio Mathematica
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2014
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Vol. 47, nr 3
638--651
EN
In this work, using the concept of I-convergence and using the concept of rough convergence, we introduced the notion of rough I-convergence and the set of rough I-limit points of a sequence and obtained two rough I-convergence criteria associated with this set. Later, we proved that this set is closed and convex. Finally, we examined the relations between the set of I-cluster points and the set of rough I-limit points of a sequence.
7
Content available remote On I-limit superior and I-limit inferior of sequences of fuzzy numbers
Sen M.
Fasciculi Mathematici
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2010
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Nr 43
139-145
EN
In this article we introduce the notions of I-limit superior and I-limit inferior for sequences of fuzzy real numbers . We prove fuzzy analogue of some results on I-limit superior and I-limit inferior for real sequences.
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