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.

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.

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

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 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.

scholarly journals On a class of fuzzy sets defined by Orlicz functions

Filomat ◽  
2013 ◽  
Vol 27 (5) ◽  
pp. 789-796 ◽  
Author(s):  
Et Mikail ◽  
Mohammad Mursaleen ◽  
Mahmut Isık
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Numbers ◽  
Difference Operator ◽  
Orlicz Function ◽  
Complex Numbers ◽  
Orlicz Functions ◽  
Difference Sequences ◽  
Inclusion Relations ◽  
Sequences Of Fuzzy Numbers ◽  
The Difference

The idea of difference sequences of real (or complex) numbers was generalized by Et and ?olak [9]. In this paper, using the difference operator ?m and an Orlicz function, we introduce and examine a class of sequences of fuzzy numbers. We study some of their properties like completeness, solidity, symmetricity etc. We also give some inclusion relations related to this class.

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

scholarly journals I-statistical limit points and I-statistical cluster points

2019 ◽  
Vol 38 (5) ◽  
pp. 1011-1026
Author(s):  
Prasanta Malik ◽  
Argha Ghosh ◽  
Samiran Das
Keyword(s):  
Statistical Cluster ◽  
Statistical Limit ◽  
Limit Points ◽  
Cluster Points
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