Birojit Das
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View article: Study of Statistical Convergence of Triple Sequences in a Topological Space
Study of Statistical Convergence of Triple Sequences in a Topological Space Open
In this paper, we introduce statistical convergence of triple sequences which are defined in a topological space. Various results on statistically convergent triple sequences are produced by using the notion of triple natural density opera…
View article: On lacunary I-convergence of sequence in credibility space
On lacunary I-convergence of sequence in credibility space Open
The aim of this research article is to introduce the concept of lacunary ideal convergence of sequences of fuzzy variables in a credibility space in different directions. We define lacunary ideal convergence via credibility measure, credib…
View article: Some results on µ-deferred double ideal statistically convergent sequences in credibility space
Some results on µ-deferred double ideal statistically convergent sequences in credibility space Open
The main purpose of this paper is to investigate different types of deferred convergent double sequences of fuzzy variables by using the notions of ideal convergence and ?-density in a given credibility space. We also establish a number of…
View article: Relation Between Convergence and Almost Convergence of Complex Uncertain Sequences
Relation Between Convergence and Almost Convergence of Complex Uncertain Sequences Open
In this paper, we introduce a new type of almost convergent complex uncertain sequence with respect to uniformly almost surely. We characterize the notion of almost convergence of sequences of complex uncertain variables further. We establ…
View article: Neutrosophic Y-Cesàro summability of a sequence of order α, of neutrosophic random variables in probability
Neutrosophic Y-Cesàro summability of a sequence of order α, of neutrosophic random variables in probability Open
In this paper, we define the notions of neutrosophic $ \mathfrak{Y} $-Ces\`aro summability of a sequence of order $ \alpha $, neutrosophic $ \mathfrak{Y} $-lacunary statistical convergence of order $ \alpha $, neutrosophic strongly $ \math…
View article: Characterizations of generalized fuzzy γ*-closed sets
Characterizations of generalized fuzzy γ*-closed sets Open
Generalized fuzzy open sets are playing a vital role in the study of fuzzy topological space as well as that of fuzzy bitopological space since its inception. More often, it is reported that fuzzy closed sets are always included in the fam…
View article: Unification of Generalized pre-regular closed Sets on Topological Spaces
Unification of Generalized pre-regular closed Sets on Topological Spaces Open
This paper intends to initiate a new type of generalized closed set in topological space with the theoretical application of generalized topological space. This newly defined set is a weaker form than the -closed set as well as -closed set…
View article: Characterization of matrix transformation of complex uncertain sequences via expected value operator
Characterization of matrix transformation of complex uncertain sequences via expected value operator Open
The aim of this paper is to study the concept of matrix transformation between complex uncertain sequences in mean. The characterization of the matrix transformation has been made by applying the concept of convergence of complex uncertain…
View article: CONVERGENCE OF COMPLEX UNCERTAIN TRIPLE SEQUENCE VIA METRIC OPERATOR, p-DISTANCE AND COMPLETE CONVERGENCE
CONVERGENCE OF COMPLEX UNCERTAIN TRIPLE SEQUENCE VIA METRIC OPERATOR, p-DISTANCE AND COMPLETE CONVERGENCE Open
In this paper, we have introduced three new types of convergence concepts, namely convergence in p-distance, completely convergence and convergence in metric by considering triple sequences of complex uncertain variable. We have establishe…
View article: Some results on statistically convergent triple sequences in an uncertainty space
Some results on statistically convergent triple sequences in an uncertainty space Open
The concept of statistical convergence plays a very prominent role in the study of sequence spaces. In this treatise, we extend the research on different types of statistical convergence viz., statistical convergence in mean, in measure, i…
View article: On statistically convergent complex uncertain sequences
On statistically convergent complex uncertain sequences Open
In this paper, we extend the study of statistical convergence of complex uncertain sequences in a given uncertainty space. We produce the relation between convergence and statistical convergence in an uncertain environment. We also initiat…
View article: On fuzzy γµ-open sets in generalized fuzzy topological spaces
On fuzzy γµ-open sets in generalized fuzzy topological spaces Open
In this paper, we explore the existence of operation approach on open sets in a generalized fuzzy topological space. We introduce the concept of fuzzy γµ-open set and study some basic properties of it. We obtain an interesting result that …
View article: Some Continuous Neutrosophic Distributions with Neutrosophic Parameters Based on Neutrosophic Random Variables
Some Continuous Neutrosophic Distributions with Neutrosophic Parameters Based on Neutrosophic Random Variables Open
In this paper, we apply continuous random distributions such as the exponential distribution, gamma distribution, beta distribution and uniform distribution and discontinuous random distribution such as Poisson distribution by using neutro…
View article: Some remarks on fuzzy infi topological spaces
Some remarks on fuzzy infi topological spaces Open
Induced fuzzy infi topological space is already introduced by Saha and Bhattacharya [Saha A.K., Bhattacharya D. 2015, Normal Induced Fuzzy Topological Spaces, Italian Journal of Pure and Applied Mathematics, 34, 45-56]. In this paper for t…
View article: A new type of statistically convergent complex uncertain triple sequence
A new type of statistically convergent complex uncertain triple sequence Open
Statistical convergence of complex uncertain triple sequence is already introduced in fouraspects of uncertainty. In this article, we initiate the notion of statistical convergence of complex uncertaintriple sequence with respect to unifor…
View article: Almost convergence of complex uncertain double sequences
Almost convergence of complex uncertain double sequences Open
Convergence of real sequences, as well as complex sequences are studied by B. Liu and X. Chen respectively in uncertain environment. In this treatise, we extend the study of almost convergence by introducing double sequences of complex unc…
View article: Results on Matrix Transformation of Complex Uncertain Sequences via Convergence in Almost Surely
Results on Matrix Transformation of Complex Uncertain Sequences via Convergence in Almost Surely Open
In this paper, the concept of convergence of complex uncertain series is applied to study matrix transformation of complex uncertain sequences in terms of almost surely. We establish a necessary and sufficient condition under which an infi…
View article: Study of matrix transformation of uniformly almost surely convergent complex uncertain sequences
Study of matrix transformation of uniformly almost surely convergent complex uncertain sequences Open
In this paper, we introduce the concept of convergence of complex uncertain series. We initiate matrix transformation of complex uncertain sequence and extend the study via linearity and boundedness. In this context, we prove Silverman-Toe…
View article: A new type of generalized closed set via γ-open set in a fuzzy bitopological space
A new type of generalized closed set via γ-open set in a fuzzy bitopological space Open
This paper aims to present the notion of (i, j)*-fuzzy γ-open set in a fuzzy bitopological space as a parallel form of (i, j)-fuzzy γ-open set due to Tripathy and Debnath (2013) [17] and show that both of them are independent concepts. The…
View article: Separation Axioms (Ti, i=0, 1, 2) in the Light of Fuzzy γ∗-Open Set
Separation Axioms (Ti, i=0, 1, 2) in the Light of Fuzzy γ∗-Open Set Open
In this paper, fuzzy separation axioms in the light of fuzzy γ∗-open sets are studied via quasicoincidence, quasi-neighborhood due to Ganguly et. al. Moreover, we establish some comparative results between fuzzy separation axioms, pre-sepa…