sanjay roy - Academia.edu (original) (raw)

Papers by sanjay roy

arXiv (Cornell University), Sep 11, 2010

In this paper, we introduce cone normed linear space, study the cone convergence with respect to ... more In this paper, we introduce cone normed linear space, study the cone convergence with respect to cone norm. Finally, we prove the completeness of a finite dimensional cone normed linear space.

arXiv (Cornell University), Sep 11, 2010

The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic propert... more The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector spaces are also Intuitionistic fuzzy hypervector space. Lastly, the notion of a linear transformation on a hypervector space is introduced and established an important theorem relative to Intuitionistic fuzzy hypervector spaces.

Discussiones Mathematicae - General Algebra and Applications, 2011

The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We... more The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence. A few important results like deletion theorem, extension theorem, dimension theorem have been established in this hypervector space.

American Journal of Mathematics and Statistics, 2012

By G(p, q) we denote a graph having p vertices and q edges, by V(G) and E(G) the vertex set and t... more By G(p, q) we denote a graph having p vertices and q edges, by V(G) and E(G) the vertex set and the edgeset of G respectively. But the vertices and edges are called the elements of the graph. A (p, q)-graph G is called the edgemagic if there exists a bijective function f: V(G) U E(G)  {1,2, ,p+q} such that f(u)+f(v)+f(uv)=k is a constant called the valence of f for any edge uv of G. Given an edge magic f of a graph G(p, q) the function () f x such that () f x =p+q+1-f(x) for all elements of G is said to be complementary to f(x) or complementary edge magic labeling () f x. The purpose of this article is to search for certain graphs Km, n (m, n ≥ 1), Cn (n ≥ 3), np2, f n (fan) Bn (bwk) and nG (n ≥ 2) where G is bipartite or tripartite which have complementary edge magic strength.

Physical Communication, 2011

Spectrum sensing is a key function of cognitive radio to prevent the harmful interference with li... more Spectrum sensing is a key function of cognitive radio to prevent the harmful interference with licensed users and identify the available spectrum for improving the spectrum’s utilization. However, detection performance in practice is often compromised with multipath fading, shadowing and receiver uncertainty issues. To mitigate the impact of these issues, cooperative spectrum sensing has been shown to be an effective

arXiv (Cornell University), Sep 11, 2010

In this paper, we introduce cone normed linear space, study the cone convergence with respect to ... more In this paper, we introduce cone normed linear space, study the cone convergence with respect to cone norm. Finally, we prove the completeness of a finite dimensional cone normed linear space.

arXiv (Cornell University), Sep 11, 2010

The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic propert... more The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector spaces are also Intuitionistic fuzzy hypervector space. Lastly, the notion of a linear transformation on a hypervector space is introduced and established an important theorem relative to Intuitionistic fuzzy hypervector spaces.

Discussiones Mathematicae - General Algebra and Applications, 2011

The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We... more The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence. A few important results like deletion theorem, extension theorem, dimension theorem have been established in this hypervector space.

American Journal of Mathematics and Statistics, 2012

By G(p, q) we denote a graph having p vertices and q edges, by V(G) and E(G) the vertex set and t... more By G(p, q) we denote a graph having p vertices and q edges, by V(G) and E(G) the vertex set and the edgeset of G respectively. But the vertices and edges are called the elements of the graph. A (p, q)-graph G is called the edgemagic if there exists a bijective function f: V(G) U E(G)  {1,2, ,p+q} such that f(u)+f(v)+f(uv)=k is a constant called the valence of f for any edge uv of G. Given an edge magic f of a graph G(p, q) the function () f x such that () f x =p+q+1-f(x) for all elements of G is said to be complementary to f(x) or complementary edge magic labeling () f x. The purpose of this article is to search for certain graphs Km, n (m, n ≥ 1), Cn (n ≥ 3), np2, f n (fan) Bn (bwk) and nG (n ≥ 2) where G is bipartite or tripartite which have complementary edge magic strength.

Physical Communication, 2011

Spectrum sensing is a key function of cognitive radio to prevent the harmful interference with li... more Spectrum sensing is a key function of cognitive radio to prevent the harmful interference with licensed users and identify the available spectrum for improving the spectrum’s utilization. However, detection performance in practice is often compromised with multipath fading, shadowing and receiver uncertainty issues. To mitigate the impact of these issues, cooperative spectrum sensing has been shown to be an effective