scholarly journals On rough convergence of triple sequence spaces of Bernstein-Stancu operators of fuzzy numbers defined by a metric function

2019 ◽  
Vol 38 (4) ◽  
pp. 783-798
Author(s):  
M. Jeyaram Bharathi ◽  
S. Velmurugan ◽  
A. Esi ◽  
N. Subramanian
Keyword(s):  
Fuzzy Numbers ◽  
Sequence Spaces ◽  
Stancu Operators ◽  
Metric Function

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.

scholarly journals Review article on $\chi^{2}$ sequence spaces defined by modulus and fuzzy numbers

2013 ◽  
Vol 31 (2) ◽  
pp. 83
Author(s):  
Nagarajan Subramanian ◽  
K. Balasubramanian
Keyword(s):  
Fuzzy Numbers ◽  
Review Article ◽  
Sequence Spaces

This is review article . So the paper start with introduction onwards.

Applications of Statistical Convergence of order (η, δ + γ) in difference sequence spaces of fuzzy numbers

2020 ◽  
pp. 1-9
Author(s):  
Swati Jasrotia ◽  
Uday Pratap Singh ◽  
Kuldip Raj
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Cesàro Summability ◽  
Matlab Software ◽  
Cesaro Summability ◽  
Set Up ◽  
Difference Sequence Spaces

In this article, we introduce and study some difference sequence spaces of fuzzy numbers by making use of λ-statistical convergence of order (η, δ + γ) . With the aid of MATLAB software, it appears that the statistical convergence of order (η, δ + γ) is well defined every time when (δ + γ) > η and this convergence fails when (δ + γ) < η. Moreover, we try to set up relations between (Δv, λ)-statistical convergence of order (η, δ + γ) and strongly (Δv, p, λ)-Cesàro summability of order (η, δ + γ) and give some compelling instances to show that the converse of these relations is not valid. In addition to the above results, we also graphically exhibits that if a sequence of fuzzy numbers is bounded and statistically convergent of order (η, δ + γ) in (Δv, λ), then it need not be strongly (Δv, p, λ)-Cesàro summable of order (η, δ + γ).

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