Intuitionistic fuzzy I-convergent double sequence spaces defined by compact operator and modulus function

2017 ◽  
Vol 33 (6) ◽  
pp. 3905-3911 ◽  
Author(s):  
Vakeel A. Khan ◽  
Yasmeen ◽  
Ayhan Esi ◽  
Hira Fatima
Keyword(s):  
Compact Operator ◽  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Double Sequence Spaces ◽  
Intuitionistic Fuzzy

scholarly journals Intuitionistic fuzzy Zweier I-convergent double sequence spaces defined by modulus function

2016 ◽  
Vol 3 (1) ◽  
pp. 1235320 ◽  
Author(s):  
Vakeel A. Khan ◽  
Yasmeen ◽  
Hira Fatima ◽  
Ayaz Ahamd ◽  
Lishan Liu
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Double Sequence Spaces ◽  
Intuitionistic Fuzzy

scholarly journals On some new i-convergent double sequence spaces defined by a compact operator

2017 ◽  
Vol 4 (4) ◽  
pp. 43-48 ◽  
Author(s):  
Vakeel A. Khan ◽  
◽  
Hira Fatima ◽  
Ayhan Esi ◽  
Sameera A.A. Abdullah ◽  
...  
Keyword(s):  
Compact Operator ◽  
Double Sequence ◽  
Sequence Spaces ◽  
Double Sequence Spaces

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 A new type of paranorm intuitionistic fuzzy Zweier I-convergent double sequence spaces

Filomat ◽  
2019 ◽  
Vol 33 (5) ◽  
pp. 1279-1286 ◽  
Author(s):  
Vakeel Khan ◽  
Y Yasmeen ◽  
Hira Fatima ◽  
Henna Altaf
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Fuzzy Topology ◽  
Real Numbers ◽  
Positive Real ◽  
Double Sequence Spaces ◽  
Intuitionistic Fuzzy ◽  
New Type

In this article we introduce the paranorm type intuitionistic fuzzy Zweier I-convergent double sequence spaces 2ZI(?,v)(p) and 2ZI 0(?,v)(p) for p = (pij) a double sequence of positive real numbers and study the fuzzy topology on these spaces.

Double sequence spaces defined by a modulus

2011 ◽  
Vol 61 (2) ◽  
Author(s):  
Ekrem Savaş ◽  
Richard Patterson
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Double Sequence Spaces ◽  
Dimensional Matrix ◽  
As If

AbstractThis paper begins with new definitions for double sequence spaces. These new definitions are constructed, in general, by combining modulus function and nonnegative four-dimensional matrix. We use these definitions to establish inclusion theorems between various sequence spaces such as: If A = (a m,n,k,l) be a nonnegative four-dimensional matrix such that $$ \mathop {\sup }\limits_{m,n} \sum\limits_{k,l = 0,0}^{\infty ,\infty } {a_{m,n,k,l} < \infty } $$ and let f be a modulus, then ω″(A, f) ⊂ ω″∞(A, f) and ω″0(A, f) ⊂ ω″∞(A, f).

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