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 On the almost everywhere statistical convergence of sequences of fuzzy numbers

Filomat ◽  
2019 ◽  
Vol 33 (9) ◽  
pp. 2683-2693 ◽  
Author(s):  
Özer Talo
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Almost Everywhere ◽  
Statistical Limit ◽  
Convergence Of Sequences ◽  
Sequences Of Fuzzy Numbers

In this paper, we define the concept of almost everywhere statistical convergence of a sequence of fuzzy numbers and prove that a sequence of fuzzy numbers is almost everywhere statistically convergent if and only if its statistical limit inferior and limit superior are equal. To achieve this result, new representations for statistical limit inferior and limit superior of a sequence of fuzzy numbers are obtained and we show that some properties of statistical limit inferior and limit superior can be easily derived from these representations.

ON ASYMPTOTICALLY LACUNARY σ-STATISTICAL EQUIVALENT SEQUENCES OF FUZZY NUMBERS

2009 ◽  
Vol 05 (03) ◽  
pp. 589-598 ◽  
Author(s):  
EKREM SAVAŞ
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Invariant Mean ◽  
Lacunary Statistical Convergence ◽  
Sequences Of Fuzzy Numbers ◽  
Natural Combination

This paper presents the asymptotically lacunary σ-statistical equivalent which is a natural combination of the definition for asymptotically equivalent, invariant mean and lacunary statistical convergence of fuzzy numbers. In addition, we shall also present asymptotically lacunary σ-statistical equivalent analogs of Savas and Nuray's theorems in Ref. 8.

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