On Some 𝝈 Bounded Variation Sequence Spaces of 2-fuzzy Real Numbers Defined by Orlicz and Modulus Functions

2018 ◽  
Vol 9 (12) ◽  
pp. 2014-2025
Author(s):  
Thangaraj Beaula ◽  
Beulah Mariya
Keyword(s):  
Bounded Variation ◽  
Sequence Spaces ◽  
Real Numbers ◽  
Fuzzy Real Numbers

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 NEW TYPE OF DIFFERENCE SEQUENCE SPACES OF FUZZY REAL NUMBERS

2009 ◽  
Vol 14 (3) ◽  
pp. 391-397 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Achyutanada Baruah
Keyword(s):  
Difference Operator ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Real Numbers ◽  
Fuzzy Real Numbers ◽  
New Type ◽  
Difference Sequence Spaces

In this paper we introduce the natation difference operator Δrn(m ≥ 0, an integer) for studying properties of some sequence spaces. We define the sequence spaces l ∞ F (Δm), cF(Δm), cF o(Δm) and investigate their properties like solid‐ness, convergence free, symmetricity, completeness.

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 The Ces$\grave{a}$ro convergence of triple sequence spaces of $\chi^{3}$ of fuzzy real numbers defined by a sequence of Musielak-Orlicz functions

2017 ◽  
Vol 37 (2) ◽  
pp. 145-155
Author(s):  
Nagarajan Subramanian
Keyword(s):  
Fuzzy Numbers ◽  
Sequence Spaces ◽  
Real Numbers ◽  
Orlicz Functions ◽  
Tauberian Conditions ◽  
Fuzzy Real Numbers ◽  
Necessary And Sufficient

We have to find the necessary and sufficient Tauberian conditions of convergence follows form $\left[C,1,1,1\right]-$ convergence of triple sequence spaces of $\chi^{3}$ of fuzzy numbers.

scholarly journals Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Stuti Borgohain
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Real Numbers ◽  
Inclusion Relations ◽  
Fuzzy Real Numbers ◽  
Difference Sequence Spaces

We introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. Some properties of these sequence spaces like solidness, symmetricity, and convergence-free are studied. We obtain some inclusion relations involving these sequence spaces.

scholarly journals Sequence Spaces of Fuzzy Real Numbers Using Fuzzy Metric

2014 ◽  
Vol 54 (1) ◽  
pp. 11-22 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Stuti Borgohain
Keyword(s):  
Sequence Spaces ◽  
Real Numbers ◽  
Fuzzy Metric ◽  
Fuzzy Real Numbers

scholarly journals On some spaces of Cesàro sequences of fuzzy numbers associated with λ-convergence and Orlicz function

2019 ◽  
Vol 11 (1) ◽  
pp. 156-171
Author(s):  
K. Raj ◽  
S. Pandoh
Keyword(s):  
Fuzzy Numbers ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Real Numbers ◽  
Inclusion Relations ◽  
Algebraic Properties ◽  
Fuzzy Real Numbers ◽  
Sequences Of Fuzzy Numbers

Abstract In the present paper we shall introduce some generalized difference Cesàro sequence spaces of fuzzy real numbers defined by Musielak-Orlicz function and -convergence. We make an e ort to study some topological and algebraic properties of these sequence spaces. Furthermore, some inclusion relations between these sequence spaces are establish.

scholarly journals p-absolutely summable type fuzzy sequence spaces by fuzzy metric

2014 ◽  
Vol 32 (2) ◽  
pp. 35 ◽  
Author(s):  
Paritosh Chandra Das
Keyword(s):  
Sequence Spaces ◽  
Real Numbers ◽  
Fuzzy Metric ◽  
Fuzzy Real Numbers ◽  
Inclusion Results

In this article we introduce the notion of p-absolutely summable class of sequences of fuzzy real numbers with fuzzy metric, $\ell_p^F$,for $1 \leq p < \infty$. We study some of its properties like completeness, symmetricity, solidness and convergence free. Also we study some inclusion results.

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