scholarly journals On Statistically Convergent Sequences of Fuzzy Numbers

1999 ◽  
Vol 4 (3) ◽  
pp. 283-287
Author(s):  
Ekrem Savaş
Keyword(s):  
Fuzzy Numbers ◽  
Sequences Of Fuzzy Numbers ◽  
Convergent Sequences

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 Generalized Nörlund and Nörlund-type Means of Sequences of Fuzzy Numbers

2020 ◽  
Vol 13 (5) ◽  
pp. 1088-1096
Author(s):  
Pradosh Kumar Pattanaik ◽  
Susanta Kumar Paikray ◽  
Bidu Bhusan Jena
Keyword(s):  
Fuzzy Numbers ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Slow Oscillation ◽  
Real Numbers ◽  
Fuzzy Real Numbers ◽  
Sequences Of Fuzzy Numbers ◽  
Necessary And Sufficient ◽  
Convergent Sequences

In this article we study some properties of generalized Nörlund and Nörlund-typemeans of sequences of fuzzy real numbers. We establish necessary and sufficient conditions for our purposed methods to transform convergent sequences of fuzzy real numbers into convergent sequences of fuzzy real numbers which also preserve the limit. Finally, we establish some results showing the connection between the generalized N ̈orlund and N ̈orlund-type limits and the usual limits under slow oscillation of sequences of fuzzy real numbers.

scholarly journals Tauberian theorems for statistically (C,1)-convergent sequences of fuzzy numbers

Filomat ◽  
2014 ◽  
Vol 28 (4) ◽  
pp. 849-858 ◽  
Author(s):  
Özer Talo ◽  
Celal Çakan
Keyword(s):  
Fuzzy Numbers ◽  
Bounded Sequence ◽  
Tauberian Theorems ◽  
Tauberian Conditions ◽  
Statistical Limit ◽  
Convergence Of Sequences ◽  
Sequences Of Fuzzy Numbers ◽  
Necessary And Sufficient ◽  
Convergent Sequences

In this paper, we have determined necessary and sufficient Tauberian conditions under which statistically convergence follows from statistically (C,1)-convergence of sequences of fuzzy numbers. Our conditions are satisfied if a sequence of fuzzy numbers is statistically slowly oscillating. Also, under additional conditions it is proved that a bounded sequence of fuzzy numbers which is (C,1)-level-convergent to its statistical limit superior is statistically convergent.

Generalized statistically convergent sequences of fuzzy numbers

2016 ◽  
Vol 30 (3) ◽  
pp. 1511-1518 ◽  
Author(s):  
M. Mursaleen ◽  
H.M. Srivastava ◽  
Sunil K. Sharma
Keyword(s):  
Fuzzy Numbers ◽  
Sequences Of Fuzzy Numbers ◽  
Convergent Sequences
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