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
2008 ◽  
Vol 04 (02) ◽  
pp. 231-236 ◽  
Author(s):  
FATIH NURAY

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.


Mathematica ◽  
2021 ◽  
Vol 63 (86) (1) ◽  
pp. 140-147
Author(s):  
Binod Chandra Tripathy ◽  
Shyamal Debnath ◽  
Debjani Rakshit

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.


2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Ö. Kişi ◽  
M. B. Huban ◽  
M. Gürdal

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.


2012 ◽  
Vol 2012 ◽  
pp. 1-6
Author(s):  
Pankaj Kumar ◽  
Vijay Kumar ◽  
S. S. Bhatia

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.


2007 ◽  
Vol 177 (16) ◽  
pp. 3297-3304 ◽  
Author(s):  
A. Nihal Tuncer ◽  
F. Berna Benli

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