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

Abstract

Abstract-In this paper we introduce and study some new sequence spaces of fuzzy numbers defined by I-convergence using the sequences of Orlicz functions, infinite matrix. We study some basic topological and algebraic properties of these spaces. Also we investigate the relations related to these spaces.

On Generalized Double Statistical Convergence of Order α in Intuitionistic Fuzzy Normed Spaces

“…In [18], P. Kostyrko et al introduced and investigated I-convergence of sequences in a metric space which is an interesting generalization of statistical convergence and studied some properties of such convergence. Subsequently, more investigations and more applications of ideals were introduced and studied in different directions, for instance, see [15,[19][20][21][22][23][24][25].…”

Applications of Lacunary Sequences to Develop Fuzzy Sequence Spaces for Ideal Convergence and Orlicz Function

“…Taking m = ν = 1, we get the spaces ∞ (∆), c(∆) and c 0 (∆) introduced and studied by Kızmaz [14]. For more details about sequence spaces (see [9,31,32,34,36,38,41]) and references therein.…”

On rough I- convergent sequence spaces of fuzzy numbers defined by sequences of Orlicz functions and matrix transformation

“…Later on it was further investigated from the sequence space point of view and linked with the summability theory by Salat [13], Tripathy and Hazarika [18,19], Tripathy and Mahanta [20], Tripathy and Dutta [17], Tripathy et.al. [23], Savas [15], Savas and Das [14], Kumar [6] and many others. The idea of rough convergence was introduced by Phu [11], who also introduced the concepts of rough limit points and roughness degree.…”