On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space
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M Mursaleen, S A Mohiuddine
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Stability of Pexiderized quadratic functional equation in intuitionistic fuzzy normed space
The authors consider the Pexider form \(f(x+y)+f(x-y)=2g(x)+2h(y)\) of the quadratic functional equation and investigate the stability thereof in the case of intuitionistic fuzzy normed Banach spaces under certain additional conditions. It should be remarked that the definition of Cauchy sequences given at the very beginning seems to be incorrect ...
S A Mohiuddine
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The Intuitionistic Fuzzy Normed Space of Coefficients [PDF]
Intuitionistic fuzzy normed space is defined using concepts of t‐norm and t‐conorm. The concepts of fuzzy completeness, fuzzy minimality, fuzzy biorthogonality, fuzzy basicity, and fuzzy space of coefficients are introduced. Strong completeness of fuzzy space of coefficients with regard to fuzzy norm and strong basicity of canonical system in this ...
Bilalov, B. T. +2 more
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On Ideal Convergence of Sequences of Functions in Intuitionistic Fuzzy Normed Spaces [PDF]
In this work, our purpose is to introduce I-convergence of sequences of functions in intuitionistic fuzzy normed space by combining the I-convergence, the sequences of functions and the intuitionistic fuzzy normed spaces, and to investigate relations among concepts such as I-convergence, statistical convergence and the usual convergence of sequences of
Karakaya, Vatan +3 more
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Fibonacci statistical convergence on intuitionistic fuzzy normed spaces [PDF]
In this paper, we study the concept of Fibonacci statistical convergence on intuitionisitic fuzzy normed space. We define the Fibonacci statistically Cauchy sequences with respect to an intuitionisitic fuzzy normed space and introduce the Fibonacci statistical completenes with respect to an intuitionisitic fuzzy normed space.
Kirisci, Murat
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Lacunary Δ-statistical convergence in intuitionistic fuzzy n-normed space [PDF]
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Altundağ, Selma, Kamber, Esra
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INTUITIONISTIC FUZZY n-NORMED LINEAR SPACE [PDF]
The motivation of this paper is to present a new and interesting notion of intuitionistic fuzzy n-normed linear space. Cauchy sequence and convergent sequence in intuitionistic fuzzy n-normed linear space are introduced and we provide some results onit.
Young-Bae Jun
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I-Lacunary Statistical Convergence in Intuitionistic Fuzzy Normed Spaces
In this study, first, we investigate the notions of ℐ-lacunary statistical convergence and strongly ℐlacunary convergence with regards to the intuitionistic fuzzy norm (IFN for short) (μ,ν). Then, we investigate relationships among this new concepts and make important observations about them.
Kişi, Ömer, Kişi, Ömer
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Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space [PDF]
In this paper we study lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. We define concept of lacunary statistical pointwise convergence and lacunary statistical uniform convergence in intuitionistic fuzzy normed spaces and we give some basic properties of these concepts.
Vatan Karakaya +3 more
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A generalized statistical convergence in intuitionistic fuzzy normed spaces [PDF]
In this paper, we introduce the notion of I-[V, lambda]-summability and I-lambda-statistical convergence with respect to the intuitionistic fuzzy norm (mu, v), investigate their relationship, and make some observations about these classes. We mainly examine the relation between these two new methods and the relation between I-lambda-statistical ...
Savas, Ekrem, GÜRDAL, Mehmet
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