Lacunary statistical convergence defined by an Orlicz function in sequences of fuzzy numbers

2017 ◽  
Vol 32 (3) ◽  
pp. 2725-2731 ◽  
Author(s):  
Hifsi Altinok ◽  
Damla Yağdiran
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Orlicz Function ◽  
Lacunary Statistical Convergence ◽  
Sequences Of Fuzzy Numbers

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.

scholarly journals Asymptotically Lacunary Statistical Equivalent Sequences of Fuzzy Numbers - doi: 10.5269/bspm.v30i2.14007

2011 ◽  
Vol 30 (2) ◽  
pp. 57-62
Author(s):  
Ayhan Esi ◽  
Necdet Çatalbas
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Lacunary Sequence ◽  
Lacunary Statistical Convergence ◽  
Sequences Of Fuzzy Numbers ◽  
Natural Combination

In this article we present the following definition which is natural combination of the definition for asymptotically equivalent and lacunary statistical convergence of fuzzy numbers. Let =(k_{r}) be a lacunary sequence. The two sequnces X  = (X_{k}) and Y=(Y_{k}) of fuzzy numbers are said to be asymptotically lacunary statistical equivalent to multiple L provided that for every >0lim_{r}(1/(h_{r}))|{k∈I_{r}:d(((X_{k})/(Y_{k})),L)≥}|=0. 

scholarly journals Almostλr-Statistical and Strongly Almostλr-Convergence of Orderβof Sequences of Fuzzy Numbers

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Mahmut Işık ◽  
Mikail Et
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Orlicz Function ◽  
Sequences Of Fuzzy Numbers

The main purpose of this article is to introduce the concepts of almostλr-statistical convergence and strongly almostλr-convergence of orderβof sequences of fuzzy numbers with respect to an Orlicz function. We give some relations between strongly almostλr-convergence and almostλr-statistical convergence of orderβof sequences of fuzzy numbers.

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
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