Let $R$ be a commutative ring with identity. Let $G(R)$ denote the maximal graph associated to $R$, i.e., $G(R)$ is a graph with vertices as the elements of $R$, where two distinct vertices $a$ and $b$ are adjacent if and only if there is a maximal ideal of $R$ containing both. Let $Gamma(R)$ denote the restriction of $G(R)$ to non-unit elements of $R$. In this paper we study the various graphi...

Fuzzy competition graph as the generalization of competition graph is introduced here. Fuzzy k-competition graph as a special type of fuzzy competition graph is defined here along with fuzzy isolated vertices. The fuzzy competition number is also introduced and investigated several properties. Isomorphism properties on fuzzy competition graphs are discussed.

Fuzzy total chromatic number is the least value of k such that k-fuzzy coloring exist. In this paper, we discussed concept graphs to bistar graph and helm graph. Here define fuzzy Bistar Helm

In this note, we first define the concept of convex fuzzy processes. Second, we present some basic properties of convex fuzzy processes and important connection between convex fuzzy processes and their graphs. @ 2002 Elsevier Science Ltd. All rights reserved. Keywords-convex fuzzy sets, Convex fuzzy cones, Convex fuzzy processes.

In the current time, especially in the computer world, the security of data becomes an important issue. This paper presents a novel fast method for encrypting and decrypting images, based on fuzzy graph (FG) mapping technique. The Fuzzy graphs are obtained from a matrix of image’s pixels, and then they are used to encrypt an image. The experimental results show that this method is more efficien...

This paper provides a detailed analysis of fuzzy point, fuzzy line segment, fuzzy distance and the angle between two fuzzy line segments. Two new concepts, same points and inverse points, are defined for this analysis. The basic properties of fuzzy distance, ideas about the containment of a fuzzy point on a fuzzy line segment and the coincidence of two fuzzy points are also described. A linear ...