MODIFIED FUZZY TOPOLOGIZED GRAPH BY USING FUZZY TOPOLOGY AND FUZZY GRAPHS

Abstract

Construction of fuzzy topologized graph has been introduced in this paper. Present work is the new concept of relating the communication between fuzzy graph and fuzzy topology which leads to the innovative approach of fuzzy topologized graph.  Since we are in a world where various concepts of Mathematics are being applied and generated every day by day. As fuzzy topology being a root cause of various invention and application in real life, Fuzzy topologized graph will also be a base for multiple applications. Fuzzy topology and Fuzzy graphs are widely applied in Neural Networks, Signal Processing, Operations research, Pattern recognitions, Artificial Intellegence etc.,. Fuzzy topologized graph is an extension of both fuzzy topology and fuzzy graphs, we could also find wide range of applications.