scholarly journals Some I-Convergent Sequence Spaces of Fuzzy Numbers Defined by Infinite Matrix

2013 ◽  
Vol 18 (2) ◽  
pp. 84-93 ◽  
Author(s):  
Ekrem Savaş
Keyword(s):  
Fuzzy Numbers ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Infinite Matrix

scholarly journals On statistical convergent sequence spaces of intuitionistic Fuzzy numbers

2018 ◽  
Vol 36 (1) ◽  
pp. 235 ◽  
Author(s):  
Shyamal Debnath ◽  
Vishnu Narayan Mishra ◽  
Jayanta Debnath
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Intuitionistic Fuzzy Number ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Inclusion Relations ◽  
Bounded Sequences

In the present paper we introduce the classes of sequence stcIFN, stc0IFN and st∞IFN of statistically convergent, statistically null and statistically bounded sequences of intuitionistic fuzzy number based on the newly defined metric on the space of all intuitionistic fuzzy numbers (IFNs). We study some algebraic and topological properties of these spaces and prove some inclusion relations too.

SOME ALMOST CONVERGENT SEQUENCE SPACES OF FUZZY NUMBERS GENERATED BY INFINITE MATRICES

2006 ◽  
Vol 02 (02) ◽  
pp. 115-121
Author(s):  
EKREM SAVAS
Keyword(s):  
Fuzzy Numbers ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Infinite Matrices ◽  
Almost Convergent Sequence ◽  
Inclusion Relations

In this paper we define some almost convergent sequence spaces of fuzzy numbers by using the A-transforms and we also examine topological properties and some inclusion relations for these new sequence spaces.

scholarly journals On Zweier generalized difference ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function

2017 ◽  
Vol 35 (2) ◽  
pp. 19 ◽  
Author(s):  
Bipan Hazarika ◽  
Karan Tamanag
Keyword(s):  
Orlicz Function ◽  
Convergent Sequence ◽  
Locally Convex Space ◽  
Sequence Spaces ◽  
Infinite Matrix ◽  
Difference Matrix ◽  
New Class ◽  
Algebraic Properties ◽  
Locally Convex ◽  
Convergent Sequences

Let $\mathbf{M}=(M_k)$ be a Musielak-Orlicz function. In this article, we introduce a new class of ideal convergent sequence spaces defined by Musielak-Orlicz function, using an infinite matrix, and a generalized difference matrix operator $B_{(i)}^{p}$ in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We obtainsome relations related to these sequence spaces.

Ideal convergent sequence spaces of fuzzy star–shaped numbers

2021 ◽  
pp. 1-8
Author(s):  
Vakeel A. Khan ◽  
Umme Tuba ◽  
SK. Ashadul Rahama ◽  
Ayaz Ahmad
Keyword(s):  
Fuzzy Sets ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Natural Numbers

In 1990, Diamond [16] primarily established the base of fuzzy star–shaped sets, an extension of fuzzy sets and numerous of its properties. In this paper, we aim to generalize the convergence induced by an ideal defined on natural numbers ℕ , introduce new sequence spaces of fuzzy star–shaped numbers in ℝ n and examine various algebraic and topological properties of the new corresponding spaces as well. In support of our results, we provide several examples of these new resulting sequences.

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