On I_2​​ -convergence and I_2​​ -convergence of double sequences in fuzzy normed spaces

In this paper first, we investigate some properties of I2-convergence in fuzzy normed spaces. After, we study some relationships between I_2-convergence and I*_2-convergence of double sequences in fuzzy normed spaces

I_2-Cauchy double sequences of fuzzy numbers

In this paper, we introduce the concepts of I2-Cauchy, I∗2-Cauchy double sequence of fuzzy numbers and study their some properties and relations, where I2 denotes the ideal of subsets of N × N

On I_2-Cauchy double sequences in fuzzy normed spaces

In this paper, we investigate relationship between I_2-convergence and I_2-Cauchy double sequences in fuzzy normed spaces. After, we introduce the concepts of I*_2-Cauchy double sequences and study relationships between I_2-Cauchy and I*_2-Cauchy double sequences in fuzzy normed spaces

On the resummation of series of fuzzy numbers via generalized Dirichlet and generalized factorial series

We introduce semicontinuous summation methods for series of fuzzy numbers and give Tauberian conditions under which summation of a series of fuzzy numbers via generalized Dirichlet series and via generalized factorial series implies its convergence. Besides, we define the concept of level Fourier series of fuzzy valued functions and obtain results concerning the summation of level Fourier series.Comment: publication information is adde

New type of difference sequence spaces of fuzzy real numbers

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. First published online: 14 Oct 201

The generalized difference gai sequences of fuzzy numbers defined by Orlicz functions

abstract: In this paper we introduce the classes of gai sequences of fuzzy numbers using generalized difference operator ∆ m (m fixed positive integer) and the Orlicz functions. We study its different properties and also we obtain some inclusion results of these classes

A New Characterization of Compact Sets in Fuzzy Number Spaces

We give a new characterization of compact subsets of the fuzzy number space equipped with the level convergence topology. Based on this, it is shown that compactness is equivalent to sequential compactness on the fuzzy number space endowed with the level convergence topology. Our results imply that some previous compactness criteria are wrong. A counterexample also is given to validate this judgment

Teorema de Stone-Weierstrass para la topología de convergencia de nivel

Treball de Fi de Màster Universitari en Matemàtica Computacional (Pla de 2013). Codi: SIQ527. Curs 2021/2022 (A distància