scholarly journals I-Lacunary Statistical Convergence in Intuitionistic Fuzzy Normed Spaces

2020 ◽  
Vol 20 (2) ◽  
pp. 207-212
Author(s):  
Ömer KİŞİ
Keyword(s):  
Statistical Convergence ◽  
Normed Spaces ◽  
Intuitionistic Fuzzy ◽  
Lacunary Statistical Convergence ◽  
Intuitionistic Fuzzy Normed Spaces

scholarly journals ON GENERALIZED STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES

2021 ◽  
pp. 435
Author(s):  
Ömer Kişi
Keyword(s):  
Normed Space ◽  
Statistical Convergence ◽  
Double Sequences ◽  
Normed Spaces ◽  
Fuzzy Normed Space ◽  
New Methods ◽  
Intuitionistic Fuzzy ◽  
Intuitionistic Fuzzy Normed Space ◽  
Lacunary Statistical Convergence ◽  
Intuitionistic Fuzzy Normed Spaces

In this paper, we introduce the concept of I₂-lacunary statistical convergence and strongly I₂-lacunary convergence with respect to the intuitionistic fuzzy norm (μ,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 I₂-statistical convergence in the corresponding intuitionistic fuzzy normed space.

scholarly journals λ-Statistical Convergence of Sequences of Functions in Intuitionistic Fuzzy Normed Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Vatan Karakaya ◽  
Necip Şimşek ◽  
Müzeyyen Ertürk ◽  
Faik Gürsoy
Keyword(s):  
Uniform Convergence ◽  
Pointwise Convergence ◽  
Statistical Convergence ◽  
Normed Spaces ◽  
Basic Properties ◽  
Intuitionistic Fuzzy ◽  
Convergence Of Sequences ◽  
Intuitionistic Fuzzy Normed Spaces ◽  
Convergent Sequences

We studyλ-statistically convergent sequences of functions in intuitionistic fuzzy normed spaces. We define concept ofλ-statistical pointwise convergence andλ-statistical uniform convergence in intuitionistic fuzzy normed spaces and we give some basic properties of these concepts.

scholarly journals Deferred statistical convergence of sequences in intuitionistic fuzzy normed spaces

2018 ◽  
Vol 24 (3) ◽  
pp. 64-78
Author(s):  
S. Melliani ◽  
◽  
M. Küçükaslan ◽  
H. Sadiki ◽  
L. S. Chadli ◽  
...  
Keyword(s):  
Statistical Convergence ◽  
Normed Spaces ◽  
Intuitionistic Fuzzy ◽  
Convergence Of Sequences ◽  
Intuitionistic Fuzzy Normed Spaces

scholarly journals On (λ,µ)-statistical convergence of double sequences on intuitionistic fuzzy normed spaces

Filomat ◽  
2011 ◽  
Vol 25 (2) ◽  
pp. 109-120 ◽  
Author(s):  
Vijay Kumar ◽  
M. Mursaleen
Keyword(s):  
Statistical Convergence ◽  
Double Sequences ◽  
Normed Spaces ◽  
Real Numbers ◽  
Positive Real ◽  
Intuitionistic Fuzzy ◽  
Intuitionistic Fuzzy Normed Spaces

In this paper, we define (?, ?)- statistical convergence and (?, ?)-statistical Cauchy double sequences on intuitionistic fuzzy normed spaces (IFNS in short), where ? = (?n ) and ? = (?m) be two non-decreasing sequences of positive real numbers such that each tending to ? and ?n+1 ? ?n + 1, ?1 = 1; ?m+1 ? ?m + 1, ?1 = 1. We display example that shows our method of convergence is more general for double sequences in intuitionistic fuzzy normed spaces.

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