In this paper, we investigate and study the concept of generalized rough sets and some of their basic properties induced by bitopological structure. The plan of this paper is as follows: We recall the basic concepts and properties of the Pawlaks� rough set theory in Section 2. And some new concepts and main results are considered in generalized rough sets induced by bitopological structure. In Section 4, we define a measure based on generalized rough sets with new approximations. Finally in Section 5, we give an example in order to indicate the use of measure

This paper investigates some fractal partial differential equations with variable coefficients within the scope of local fractional derivative formulation. The exact travelling wave solutions of non-differentiable type with the generalized functions defined on Cantor sets are analyzed. The results for the non-differentiable solutions when fractal dimension is 1 are also discussed

This paper initiates the notion of multivalued fractals in b-metric space generated by an iterated multifunction system of weak contraction. Also prove the existence and uniqueness theorem of multivalued fractals for weak contraction in b-metric space and well-posedness of fixed point problem

An analysis is presented to investigate the effects of diffusion thermo and heat source on MHD unsteady free convection flow of a Casson fluid past a semi in?nite moving vertical plate with convective boundary conditions in the presence of chemical reaction and time dependent suction. A uniform magnetic field is applied particular to the plate. The fluid flow model comprises of time dependent partial differential equations which are highly nonlinear. Nondimensional scheme is introduced to obtain the equations in nondimensional form. Using perturbation technique, the coupled second order ordinary differential equations are obtained. The equations are then solved analytically and the impact of various physical parameters on the dimensionless velocity, dimensionless temperature and dimensionless concentration are illustrated through figures. Numerical values of local skin-friction coefficient, local Nusselt number and local Sherwood number are depicted in tables

In a simple connected graph Sampathkumar and Pushpa Latha [3]have defined Point Set Dominating sets in graphs and Hedetniemi et all [1]defined Weakly Connected Domination.We have defined weakly connected point set dominating set(wcps) and minimum cardinality of wcps set denoted Nwcps. We observed that Nwcps ? ? and wcps set need not be a dominating set. Further we have defined dominating weakly connected point set dominating set(wcpsd) and minimum cardinality of wcpsd set denoted ?wcpsd. We determined some bounds and exact values of ?wcpsd for some classes of graphs. Further we relate it to some other known domination parameters. We elucidate some results and intiated a study of global weakly connected point set dominating set(wcpsg) & global dominating weakly connected point set dominating set(wcpsdg). Also we have developed some algorithms for independent set, dominating set, weakly connected set, set dominating set[3], point set dominating set and global point set dominating set[4] and have written programs for the execution of the same.

With respect to the multi-attribute group decision making problems in which the attribute values take the form of interval valued intuitionistic fuzzy numbers. We propose a new procedure to fuzzy multi-attribute group decision making method based on an interval valued intuitionistic fuzzy best-worst method (IVIFBWM) .The proposed decision making technique is most suitable due to the fact that it admits the expert�s opinion which consists qualitative and quantitative attribute values as linguistic variables. First review the concepts of interval valued intuitionistic fuzzy sets, best-worst method and multi-attribute group decision making methods. Finally a numerical illustration is provided to validate the developed approach.

In this paper, we explore the idea about door spaces on N-topological
space. Also, we introduce semi door space, hausdorff semi door space, semi hausdorff door space in N-topology and obtain its rudimentary properties. In addition, we investigate the relationship of β-open sets and its correlated door spaces.