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Using the concept of Orlicz function and uncertainty theory, some new class of lacunary convergent sequences defined by Orlicz functions have been introduced with the lacunary convergence concepts in this paper. Some topo-logical properties of the defined sequence spaces along with the inclusion relations have been investigated. [ABSTRACT FROM AUTHOR]

In this paper we introduce two new classes of functions between mixedjuzzy topological spaces, namelyfuzzy δ*-almost continuous and fuzzy δ*-continuous functions and investigate some of their properties. The description of these two types of functionsfacilitated by the introduction of generalized open sets, calledfuzzy d-preopen sets, fuzzy d-precluster point, fuzzy preopen sets, fuzzy d-pre-q-neighbourhoods. [ABSTRACT FROM AUTHOR]

Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the statistical convergence concepts of complex uncertain sequences: statistical convergence almost surely (a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely sequences of complex uncertain sequences defined by Orlicz function. In addition, Decomposition Theorems and relationships among them are discussed. [ABSTRACT FROM AUTHOR]

In this paper we introduce the sequence spaces c0i(Δ) ,ci(Δ) and li ∞ (Δ) of interval numbers and study some of their algebraic and topological properties. Also we investigate some inclusion relations related to these spaces. [ABSTRACT FROM AUTHOR]

The concept of multiset is a generalization of Cantor set. In this paper we have attempted to generalize the concept of group in the multiset context and define multiset subgroup and studied some of their basic properties. [ABSTRACT FROM AUTHOR]

In this article, we introduce the notion of generalized closed sets and generalized open sets in multiset topological spaces. We investigate their different properties. We have introduced the notion of some separation axioms and discussed some examples. [ABSTRACT FROM AUTHOR]

Fine spectra of various matrices have been examined by several authors. In this article we have determined the fine spectrum of the upper triangular matrix U (r, 0, 0, s) on the sequence spaces c0 and c. [ABSTRACT FROM AUTHOR]

The main purpose of this paper is to introduce pairwise generalized b-Ro spaces in bitopological spaces with the help of generalized b-open sets in bitopological spaces and give several characterizations of this spaces. We also introduce generalized b-kernel of a set and investigate some properties of it and study the relationship between this space and other bitopological spaces. [ABSTRACT FROM AUTHOR]

In this article we have studied on lacunary I-convergent sequences of fuzzy real numbers. We verify and establish some algebraic properties such as linearity, symmetric, convergence free etc. and also established some other results. [ABSTRACT FROM AUTHOR]

In this paper we introduce a new class of generalized closed sets in bitopological space using local function, two extension operators and semi-open sets. We have also investigated some properties in subspace bitopology defining kernel and image. [ABSTRACT FROM AUTHOR]

In this article we have defined statistically pre-Cauchy sequence of fuzzy real numbers defined by Orlicz function. We have proved a necessary and sufficient condition for a sequence X = (Xk) of fuzzy real numbers to be statistically pre-Cauchy. We have also established some other results. [ABSTRACT FROM AUTHOR]

In this article we introduce the concept of generalized b-closed sets with respect to an ideal in bitopological spaces, which is the extension of the concepts of generalized b-closed sets. [ABSTRACT FROM AUTHOR]

In this paper we define concept of triple Δ-statistical convergent sequences in probabilistic normed space and give some results. Also we introduce the notions of Δ-statistical limit point and Δ-statistical cluster point and investigate their different properties. [ABSTRACT FROM AUTHOR]

In this paper we establish two common fixed point theorems in fuzzy 2-metric spaces. These theorems are generalizations of the Banach Contraction mapping principle and the Kannan's fixed point theorem respectively in fuzzy 2-metric spaces. [ABSTRACT FROM AUTHOR]

In this article, we introduce the concept of p-statistical convergence and g-density convergence of sequences offunctions defined on a compact subset D of the probabilistic normed space (X, N, *), where p is a finitely additive two valued measure. In particular, we introduce the notions of p-statistical uniform convergence as well as p-statistical point-wise convergence of sequences of functions in probabilistic normed space [in short PN-space) and we give some characterization results on these two convergences of sequences of functions in PN-space. We have also observed that p-statistical uniform convergence of sequences offunctions in PN-spaces inherits the basic properties of uniform convergence. [ABSTRACT FROM AUTHOR]