scholarly journals New Results on I 2 -Statistically Limit Points and I 2 -Statistically Cluster Points of Sequences of Fuzzy Numbers

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Ö. Kişi ◽  
M. B. Huban ◽  
M. Gürdal
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Double Sequence ◽  
Statistical Cluster ◽  
Statistical Limit ◽  
Number Sequences ◽  
Sequences Of Fuzzy Numbers ◽  
Limit Points ◽  
The Relationship ◽  
Cluster Points

In this paper, some existing theories on convergence of fuzzy number sequences are extended to I 2 -statistical convergence of fuzzy number sequence. Also, we broaden the notions of I -statistical limit points and I -statistical cluster points of a sequence of fuzzy numbers to I 2 -statistical limit points and I 2 -statistical cluster points of a double sequence of fuzzy numbers. Also, the researchers focus on important fundamental features of the set of all I 2 -statistical cluster points and the set of all I 2 -statistical limit points of a double sequence of fuzzy numbers and examine the relationship between them.

I-CONVERGENCE OF SEQUENCES OF FUZZY NUMBERS

2008 ◽  
Vol 04 (02) ◽  
pp. 231-236 ◽  
Author(s):  
FATIH NURAY
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Number Sequences ◽  
Convergence Of Sequences ◽  
Sequences Of Fuzzy Numbers ◽  
Limit Points ◽  
Cluster Points

In this study, the concepts of I-convergent, I-Cauchy, I-bounded, I-limit points and I-cluster points for fuzzy number sequences have been introduced and discussed.

scholarly journals Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers

2012 ◽  
Vol 2012 ◽  
pp. 1-6
Author(s):  
Pankaj Kumar ◽  
Vijay Kumar ◽  
S. S. Bhatia
Keyword(s):  
Fuzzy Numbers ◽  
Difference Sequences ◽  
Statistical Cluster ◽  
Statistical Limit ◽  
Inclusion Relations ◽  
Sequences Of Fuzzy Numbers ◽  
Limit Points ◽  
Cluster Points

The aim of present work is to introduce and study lacunary statistical limit and lacunary statistical cluster points for generalized difference sequences of fuzzy numbers. Some inclusion relations among the sets of ordinary limit points, statistical limit points, statistical cluster points, lacunary statistical limit points, and lacunary statistical cluster points for these type of sequences are obtained.

Applications of Tauberian theorems for double sequences of fuzzy numbers via De La Vallée Poussin mean

2021 ◽  
pp. 1-10
Author(s):  
Anu Choudhary ◽  
Kuldip Raj ◽  
M. Mursaleen
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Double Sequence ◽  
Double Difference ◽  
Tauberian Theorems ◽  
Tauberian Conditions ◽  
Hardy Type ◽  
Number Sequences ◽  
Sequences Of Fuzzy Numbers ◽  
De La Vallée Poussin

Tauberian theorem serves the purpose to recuperate Pringsheim’s convergence of a double sequence from its (C, 1, 1) summability under some additional conditions known as Tauberian conditions. In this article, we intend to introduce some Tauberian theorems for fuzzy number sequences by using the de la Vallée Poussin mean and double difference operator of order r . We prove that a bounded double sequence of fuzzy number which is Δ u r - convergent is ( C , 1 , 1 ) Δ u r - summable to the same fuzzy number L . We make an effort to develop some new slowly oscillating and Hardy-type Tauberian conditions in certain senses employing de la Vallée Poussin mean. We establish a connection between the Δ u r - Hardy type and Δ u r - slowly oscillating Tauberian condition. Finally by using these new slowly oscillating and Hardy-type Tauberian conditions, we explore some relations between ( C , 1 , 1 ) Δ u r - summable and Δ u r - convergent double fuzzy number sequences.

λ-Statistical limit points of the sequences of fuzzy numbers

2007 ◽  
Vol 177 (16) ◽  
pp. 3297-3304 ◽  
Author(s):  
A. Nihal Tuncer ◽  
F. Berna Benli
Keyword(s):  
Fuzzy Numbers ◽  
Statistical Limit ◽  
Sequences Of Fuzzy Numbers ◽  
Limit Points

scholarly journals On I-statistically limit points and I-statistically cluster points of sequences of fuzzy numbers

Mathematica ◽  
2021 ◽  
Vol 63 (86) (1) ◽  
pp. 140-147
Author(s):  
Binod Chandra Tripathy ◽  
Shyamal Debnath ◽  
Debjani Rakshit
Keyword(s):  
Limit Point ◽  
Fuzzy Numbers ◽  
Cluster Point ◽  
Basic Properties ◽  
Sequences Of Fuzzy Numbers ◽  
Limit Points ◽  
Cluster Points

The main aim of this paper is to introduce I-st limit points and I-st cluster points of a sequence of fuzzy numbers and also study some of its basic properties. Conditions for a I-st limit point of a I-st cluster point are investigated.

On I-limit points and I-cluster points of sequences of fuzzy numbers

2007 ◽  
Vol 2 ◽  
pp. 2815-2822
Author(s):  
V. Kumar ◽  
A. Sharma ◽  
K. Kumar ◽  
N. Singh
Keyword(s):  
Fuzzy Numbers ◽  
Sequences Of Fuzzy Numbers ◽  
Limit Points ◽  
Cluster Points
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