scholarly journals Fuzzy p-Absolutely Summable Difference Sequences

2018 ◽  
Vol 14 (02) ◽  
pp. 221-233
Author(s):  
Hemen Dutta ◽  
Adem Kilicman ◽  
Ayhan Esi
Keyword(s):  
Fuzzy Numbers ◽  
Difference Sequences ◽  
Sequences Of Fuzzy Numbers ◽  
Suitable Explanation

In this work, we introduce the notion of [Formula: see text]-absolutely summability of difference sequences of fuzzy numbers and then reduce the concept of [Formula: see text]-absolutely summable sequences of fuzzy numbers. We discuss the sets of such sequences of fuzzy numbers under different fuzzy metrics. We also establish the completeness under suitable metric. Examples along with suitable explanation are incorporated to make the theory of this paper interesting and useful. Finally, the concepts of fuzzy solidity and fuzzy symmetricity are defined and the classes for these two properties are examined as well.

scholarly journals ON ALMOST STATISTICAL CONVERGENCE OF GENERALIZED DIFFERENCE SEQUENCES OF FUZZY NUMBERS

2005 ◽  
Vol 10 (4) ◽  
pp. 345-352 ◽  
Author(s):  
M. Et ◽  
Y. Altin ◽  
H. Altinok
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Almost Convergence ◽  
Difference Sequences ◽  
Sequences Of Fuzzy Numbers ◽  
Bounded Sequences

The purpose of this paper is to introduce the concepts of almost statistical convergence and strongly almost convergence of generalized difference sequences of fuzzy numbers. We obtain some results related to these concepts. It is also shown that almost Δr λ - statistical convergence and strongly almost Δr λ - convergence are equivalent for Δr ‐bounded sequences of fuzzy numbers. Šio straipsnio tikslas supažindinti su beveik statistinio ir stipriai beveik statistinio apibendrintu fuzzy skaičiu konvergavimo savokomis. Straipsnyje taip pat parodyta, kad beveik Δr λ ‐ statistinis konvergavimas ir stipriai beveik Δr λ - statistinis konvergavimas yra ekvivalentus Δr λ - apribotoms fuzzy skaičiu sekoms.

On some sets of difference sequences of fuzzy numbers

2010 ◽  
Vol 15 (4) ◽  
pp. 787-793 ◽  
Author(s):  
R. Çolak ◽  
Y. Altın ◽  
M. Mursaleen
Keyword(s):  
Fuzzy Numbers ◽  
Difference Sequences ◽  
Sequences Of Fuzzy Numbers

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.

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.

On the class of λ-statistically convergent difference sequences of fuzzy numbers

2011 ◽  
Vol 16 (6) ◽  
pp. 1029-1034 ◽  
Author(s):  
Hifsi Altinok ◽  
Rifat Çolak ◽  
Yavuz Altin
Keyword(s):  
Fuzzy Numbers ◽  
Difference Sequences ◽  
Sequences Of Fuzzy Numbers

Generalized difference sequences of fuzzy numbers

2009 ◽  
Vol 40 (3) ◽  
pp. 1106-1117 ◽  
Author(s):  
Rifat Çolak ◽  
Hıfsı Altınok ◽  
Mikail Et
Keyword(s):  
Fuzzy Numbers ◽  
Difference Sequences ◽  
Sequences Of Fuzzy Numbers

COMPUTATION OF THE KÖTHE-TOEPLITZ DUAL OF SOME SETS OF SEQUENCES OF FUZZY NUMBERS

2011 ◽  
Vol 07 (01) ◽  
pp. 63-70
Author(s):  
HEMEN DUTTA ◽  
B. SURENDER REDDY
Keyword(s):  
Fuzzy Numbers ◽  
Orlicz Function ◽  
Difference Sequences ◽  
Sequences Of Fuzzy Numbers

The main aim of the present paper is to compute the α–dual (or Köthe-Toeplitz dual) for some sets of sequences of fuzzy numbers defined using an Orlicz function. We also compute the α–dual of some sets of difference sequences of fuzzy numbers.

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