scholarly journals ON ALMOST STATISTICAL CONVERGENCE OF GENERALIZED DIFFERENCE SEQUENCES OF FUZZY NUMBERS

2005 ◽  
Vol 10 (4) ◽  
pp. 345-352 ◽  
Author(s):  
M. Et ◽  
Y. Altin ◽  
H. Altinok
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Almost Convergence ◽  
Difference Sequences ◽  
Sequences Of Fuzzy Numbers ◽  
Bounded Sequences

The purpose of this paper is to introduce the concepts of almost statistical convergence and strongly almost convergence of generalized difference sequences of fuzzy numbers. We obtain some results related to these concepts. It is also shown that almost Δr λ - statistical convergence and strongly almost Δr λ - convergence are equivalent for Δr ‐bounded sequences of fuzzy numbers. Šio straipsnio tikslas supažindinti su beveik statistinio ir stipriai beveik statistinio apibendrintu fuzzy skaičiu konvergavimo savokomis. Straipsnyje taip pat parodyta, kad beveik Δr λ ‐ statistinis konvergavimas ir stipriai beveik Δr λ - statistinis konvergavimas yra ekvivalentus Δr λ - apribotoms fuzzy skaičiu sekoms.

Applications of deferred Cesàro statistical convergence of sequences of fuzzy numbers of order (ξ, ω)

2021 ◽  
pp. 1-10
Author(s):  
Sonali Sharma ◽  
Uday Pratap Singh ◽  
Kuldip Raj
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Matlab Software ◽  
Difference Sequences ◽  
Cesaro Summability ◽  
Convergence Of Sequences ◽  
Sequences Of Fuzzy Numbers ◽  
Theoretical Results

The purpose of this article is to study deferred Cesrào statistical convergence of order (ξ, ω) associated with a modulus function involving the concept of difference sequences of fuzzy numbers. The study reveals that the statistical convergence of these newly formed sequence spaces behave well for ξ ≤ ω and convergence is not possible for ξ > ω. We also define p-deferred Cesàro summability and establish several interesting results. In addition, we provide some examples which explain the validity of the theoretical results and the effectiveness of constructed sequence spaces. Finally, with the help of MATLAB software, we examine that if the sequence of fuzzy numbers is bounded and deferred Cesàro statistical convergent of order (ξ, ω) in (Δ, F, f), then it need not be strongly p-deferred Cesàro summable of order (ξ, ω) in general for 0 < ξ ≤ ω ≤ 1.

Almost statistical convergence of order $$\beta $$ β of sequences of fuzzy numbers

2015 ◽  
Vol 20 (9) ◽  
pp. 3611-3616 ◽  
Author(s):  
Abdulkadir Karakas ◽  
Yavuz Altin ◽  
Hifsi Altinok
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Sequences Of Fuzzy Numbers

ON ALMOST CONVERGENT SEQUENCES OF FUZZY NUMBERS

2006 ◽  
Vol 02 (02) ◽  
pp. 123-130 ◽  
Author(s):  
EKREM SAVAŞ
Keyword(s):  
Metric Space ◽  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Complete Metric Space ◽  
Sequences Of Fuzzy Numbers ◽  
Convergent Sequences

In this paper, we study the space of almost convergent sequences of fuzzy numbers and show that it is complete metric space. We also introduce and discuss the concept of almost statistical convergence of fuzzy numbers.

scholarly journals Fuzzy p-Absolutely Summable Difference Sequences

2018 ◽  
Vol 14 (02) ◽  
pp. 221-233
Author(s):  
Hemen Dutta ◽  
Adem Kilicman ◽  
Ayhan Esi
Keyword(s):  
Fuzzy Numbers ◽  
Difference Sequences ◽  
Sequences Of Fuzzy Numbers ◽  
Suitable Explanation

In this work, we introduce the notion of [Formula: see text]-absolutely summability of difference sequences of fuzzy numbers and then reduce the concept of [Formula: see text]-absolutely summable sequences of fuzzy numbers. We discuss the sets of such sequences of fuzzy numbers under different fuzzy metrics. We also establish the completeness under suitable metric. Examples along with suitable explanation are incorporated to make the theory of this paper interesting and useful. Finally, the concepts of fuzzy solidity and fuzzy symmetricity are defined and the classes for these two properties are examined as well.

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