t-Intuitionistic Fuzzy Subalgebra of BG-Algebras

The aim of this paper is to introduced the notion of t-intuitionisticfuzzy subalgebra and t-intuitionistic fuzzy normal subalgebra of BG-algebras.We state and prove some theorems in t-intuitionistic fuzzy subalgebra andt-intuitionistic fuzzy normal subalgebra in BG-algebras. The homomorphicimage and inverse image are investigated in both t-intuitionistic fuzzysubalgebra and normal subalgebras.

(∈, ∈ Vq)-Interval-Valued Fuzzy Dot d-Ideals of d-Algebras

The concept of (∈, ∈ ∨q)-interval-valued fuzzy dot d-ideals in dalgebras is introduced. Relationship among interval-valued fuzzy dideal, interval-valued fuzzy dot d-ideal, (∈, ∈)-interval-valued fuzzy dideal,(∈, ∈)-interval-valued fuzzy dot d-ideal, and (∈, ∈ ∨q)-intervalvalued fuzzy dot d-ideals are discussed. Conditions for an intervalvalued fuzzy d-ideal to be an (∈, ∈ ∨q)-interval-valued fuzzy dot dideals are given. Some properties of interval-valued fuzzy relations and interval-valued fuzzy ideals under homomorphism are investigated.

Generalized η-Einstein 3-Dimensional Trans-Sasakian Manifold

In the present note we have introduced a new concept called generalized η-Einstein manifold in a 3-dimensional trans-Sasakian manifold and have given some preliminary ideas about the same. Inthe next section some geometric properties about this manifold have been deduced. Finally we havejustified the existence of such a manifold by citing an example.

A Novel (G'/G)-Expansion Method and its Application to the Space-Time Fractional Symmetric Regularized Long Wave (SRLW) Equation

In this work, we use the fractional complex transformation which converts nonlinear fractional partial differential equation to nonlinear ordinary differential equation. A fractional novel (G`/G) - expansion method is used to look for exact solutions of nonlinear evolution equation with the aid of symbolic computation. To check the validity of the method we choose the space-time fractional symmetric regularized long wave (SRLW) equation and as a result, many exact analytical solutions are obtained including hyperbolic function solutions, trigonometric function solutions, and rational solutions. The performance of the method is reliable, useful and gives more new general exactsolutions than the existing methods.

Fixed Point Theorems for Compatible Mappings of Type (R) in 2-Metric Spaces

The aim of this paper is to introduce the concept of compatible mappings of type (R) in 2-metric spaces and to prove a coincidence point theorem and a fixed point theorem for compatible mappings of type (R) in 2-matric spaces.

Icosahedral Symmetry and Quantum Gravity

In this note we will show that Theta functions are a solution of the icosahedron equation and also a solution of the Ernst equation for the stationary axisymmetric case of Einstein’s gravitational equation.

A Family of Difference-Cum-Exponential Type Estimators for Estimating the Population Variance Using Auxiliary Information in Sample Surveys

Using auxiliary information, a family of difference-cum-exponential type estimators for estimating the population variance of variable under study have been proposed under double sampling design. Expressions for bias, mean squared error and its minimum values have been obtained. The comparisons have been made with the regression-type estimator by using simple random sampling at both occasions in double sampling design. It has also been shown that better estimators can be obtained from the proposed family of estimators which are more efficient than the linear regression type estimator. Results have also been illustrated numerically as well asgraphically.

On the Cauchy Property in Metric Spaces

In this note the concept of p-quasi-cone metric space is discussed. New results onpoints which are fixed in the metric space are given.

On the Exact Solutions of Couple Stress Fluids

Exact solutions of the momentum equations of couple stress fluid are investigated. Making use of stream function, the two-dimensional flow equations are transformed into non-linear compatibility equation, and then it is linearized by vorticity function. Stream functions and velocity distributions are discussed for various flow situations.

A Proof of the Schinzel Conjecture

In this paper, we deal with the Schinzel conjecture.