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Category: Volume 25

Almost Continuous Mappings in Intuitionistic Fuzzy Topological Spaces

P. RAJARAJESWARI1 and L. SENTHIL KUMAR2

ABSTRACT:

The purpose of this paper is to introduce and study the concepts of intuitionistic fuzzy almost regular weakly generalized open mappings, intuitionistic fuzzy almost regular weakly generalized closed mappings and almost contra regular weakly generalized continuous mappings in intuitionistic fuzzy topological space and we investigate some of its properties. Also we provide the relations between intuitionistic fuzzy almost regular weakly generalized closed mappings and other intuitionistic fuzzy closed mappings.

KEYWORDS: Intuitionistic fuzzy topology, intuitionistic fuzzy regular weakly generalized closed set AMS Subject Classification (2000): 54A40, 03F55.


The purpose of this paper is to introduce and study the concepts of intuitionistic fuzzy almost regular weakly generalized open mappings, intuitionistic fuzzy almost regular weakly generalized closed mappings and almost contra...

Fuzzy Dynamic System Approach to Multistage Decision Making Problems

P.K. PARIDA

ABSTRACT:

Many decisions involve multiple stages of choices and events. In this paper to develops fuzzy dynamic system approach for solving multistage decision-making problems. Fuzzy dynamic system is a promising tool for dealing with multistage decision-making and optimization problems under fuzziness. The cases of deterministic, stochastic, fuzzy dynamic system, fuzzy criterion set dynamic programming, fuzzy termination time’s are analyzed. Lastly, summarize the main results of the computational complexity.

KEYWORDS: Multistage decision process, decision under fuzziness, MS Classification Number (2010): 90C39, 90C70


Many decisions involve multiple stages of choices and events. In this paper to develops fuzzy dynamic system approach for solving multistage decision-making problems. Fuzzy dynamic system is a promising tool for dealing...

Characterizations of Topological Properties using Closed and Open Set Subspaces

CHARLES DORSETT

ABSTRACT:

Within this paper, subspace questions are further investigated for compact spaces, hereditarily compact spaces, and T0 spaces using closed set subspaces and open set subspaces.

KEYWORDS: subspaces, proper subspace inherited properties, T0, and compactness.


Within this paper, subspace questions are further investigated for compact spaces, hereditarily compact spaces, and T0 spaces using closed set subspaces and open set subspaces.

Prime Labeling of Some Product Graphs

L. MEENAKSHI SUNDARAM*, A. NAGARAJAN, S. NAVANEETHAKRISHNAN and A. NELLAI MURUGAN

ABSTRACT:

Prime labeling originated with Entringer and was introduced by Tout, Dabboucy and Howalla4. A Graph G(V,E) is said to have a prime labeling if its vertices are labeled with distinct integers 1,2,3,…,V(G) such that for each edge xy the labels assigned to x and y are relatively prime. A graph admits a prime labeling is called a prime graph. In this
paper, we prove that (PnS2)k, (PnS3)k and Cn  Sm are prime graphs.

KEYWORDS: prime graphs.


Prime labeling originated with Entringer and was introduced by Tout, Dabboucy and Howalla4. A Graph G(V,E) is said to have a prime labeling if its vertices are labeled with distinct integers...

The Semientire Edge Dominating Graph

V.R. KULLI*

ABSTRACT:

The semientire edge dominating graph Eed(G) of a graph G=(V, E) is a graph with the vertex set E S where S is the set of
all minimal edge dominating sets G and with two vertices u,v E S adjacent if u,v F where F is a minimal edge dominating set in S or u E and v=F is a minimal edge dominating set of G containing u. In this paper, a characterization is given for graphs G for which Eed(G) is connected. Further, some new results are established relating to this new graph.

KEYWORDS: edge dominating graph, semientire edge dominating graph. Mathematics Subject Classification: 05C


The semientire edge dominating graph Eed(G) of a graph G=(V, E) is a graph with the vertex set E S where S is the set of all minimal edge dominating...

Common Fixed Point Theorem for Weakly Compatible Mappings in Fuzzy Metric Spaces

GEETA MODI*, MONA VERMA** and M.S. RATHORE1

ABSTRACT:

We prove common fixed point theorem for weakly compatible  mappings in fuzzy metric space. We extend results of Pathak, Khan and Tiwari to fuzzy metric space.

KEYWORDS: fuzzy metric space.


We prove common fixed point theorem for weakly compatible  mappings in fuzzy metric space. We extend results of Pathak, Khan and Tiwari to fuzzy metric space.

Some Theorems On A Conformal Transformation of A Kaehlerian Space

U. S. NEGI

ABSTRACT:

Ishihara and Obata2 have proved that if M is a differentiable and connected Riemannian manifold of dimension > 2, which is not locally Euclidean and if M admits a conformal transformation such that the associated function ( satisfies ( (x) < 1 ε, or ((x) > 1+ε, for each x M, being a positive number, then has no fixed point. Further, Hirmatu1 has studied that a differentiable and connected Riemannian manifold admitting a conformal transformation group of sufficiently high dimension is locally conformal Euclidean. In the present paper, we have obtained results concerning the fixed point of a conformal transformation of a Kaehlerian space and concerning the locally conformally flatness of the Kaehlerian space.

KEYWORDS: Kaehler and Riemannian geometry, conformal transformation. 2000 MATHEMATICS SUBJECT CLASSIFICATION: 53C60,58B20.


Ishihara and Obata2 have proved that if M is a differentiable and connected Riemannian manifold of dimension > 2, which is not locally Euclidean and if M admits a conformal transformation...

A Common Fixed Point Theorem for five Weakly Compatible Maps Satisfying E.A. Property in Intuitionistic Fuzzy Metric Spaces

GEETA MODI* MONA VERMA** and SUSHMA CHANDEL***

ABSTRACT:

In this paper, we use the notion of E.A. property in intuitionistic fuzzy metric space and prove a common fixed point theorem for five weakly compatible mappings using this property

KEYWORDS: Intuitionistic fuzzy metric space, E.A property, weakly compatible maps AMS Subject Classification Codes: 47H10, 54H25


In this paper, we use the notion of E.A. property in intuitionistic fuzzy metric space and prove a common fixed point theorem for five weakly compatible mappings using this property