On Some I-convergence of Difference Double Sequence Classes of Fuzzy Real Numbers Defined by Modulus Function

2017 ◽  
Vol 8 (12) ◽  
pp. 758-768
Author(s):  
Manmohan Das ◽  
Sanjay Kumar Das
Keyword(s):  
Double Sequence ◽  
Modulus Function ◽  
Real Numbers ◽  
Fuzzy Real Numbers

scholarly journals On Some I-Convergent Double Sequence Spaces of Fuzzy Real Numbers Defined by Modulus Function

2015 ◽  
Vol 55 (1) ◽  
pp. 19-28
Author(s):  
Manmohan Das
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Real Numbers ◽  
Double Sequence Spaces ◽  
Inclusion Relations ◽  
Algebraic Properties ◽  
Fuzzy Real Numbers

Abstract In this article our aim to introduce some new I-convergent double sequence spaces of fuzzy real numbers defined by modulus function and studies their some topological and algebraic properties. Also we establish some inclusion relations.

scholarly journals Some Double Sequence Spaces of Fuzzy Real Numbers of Paranormed Type

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
Bipul Sarma
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Real Numbers ◽  
Double Sequence Spaces ◽  
Fuzzy Real Numbers ◽  
Sequence Algebra ◽  
Inclusion Results

We study different properties of convergent, null, and bounded double sequence spaces of fuzzy real numbers like completeness, solidness, sequence algebra, symmetricity, convergence-free, and so forth. We prove some inclusion results too.

scholarly journals Generalized vector valued double sequence space using modulus function

2007 ◽  
Vol 38 (4) ◽  
pp. 347-366
Author(s):  
Anindita Basu ◽  
P. D. Srivastava
Keyword(s):  
Sequence Space ◽  
Statistical Convergence ◽  
Double Sequence ◽  
Modulus Function ◽  
Real Numbers ◽  
Double Sequence Space ◽  
Seminormed Space ◽  
Vector Valued

In this paper, we introduce a generalized vector valued paranormed double sequence space $ F^{2}(E,p,f,s) $, using modulus function $ f $, where $ p=(p_{nk}) $ is a sequence of non-negative real numbers, $ s\geq 0 $ and the elements are chosen from a seminormed space $ (E, q_{E}) $. Results regarding completeness, normality, $ K_{2} $-space, co-ordinatewise convergence etc. are derived. Further, a study of multiplier sets, ideals, notion of statistical convergence and ($ p_{nk} $ )-Ces\'aro summability in the space $ F^{2}(E,p,f,s) $ is also made.

scholarly journals A note on multiordered fuzzy difference sequence spaces

Filomat ◽  
2018 ◽  
Vol 32 (8) ◽  
pp. 2867-2874
Author(s):  
Tanweer Jalal
Keyword(s):  
Difference Operator ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Difference Sequence ◽  
Topological Properties ◽  
Real Numbers ◽  
Ideal Convergence ◽  
Fuzzy Real Numbers ◽  
Difference Sequence Spaces

In this paper we introduce some new multi ordered difference operator on sequence spaces of fuzzy real numbers by using ideal convergence and modulus function and study their some algebraic and topological properties.

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