ICTACT Journal on Soft Computing

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A New Approach on Shortest Path in Fuzzy Environment


Affiliations
1 P.G. and Research Department of Mathematics, Jamal Mohamed College, Tamil Nadu, India
2 Department of Computer Science and Information Technology, Dr. Umayal Ramanathan College for Women, Tamil Nadu, India
     

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This paper introduces a new type of fuzzy shortest path network problem using triangular fuzzy number. To find the smallest edge by the fuzzy distance using graded mean integration representation of generalized fuzzy number for every node. Thus the optimum shortest path for the given problem is obtained.

Keywords

Fuzzy Number, Graded Mean Integration Representation, Fuzzy Distance, Order Relation.
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  • A New Approach on Shortest Path in Fuzzy Environment

Abstract Views: 348  |  PDF Views: 0

Authors

A. Nagoorgani
P.G. and Research Department of Mathematics, Jamal Mohamed College, Tamil Nadu, India
A. Mumtaj Begam
Department of Computer Science and Information Technology, Dr. Umayal Ramanathan College for Women, Tamil Nadu, India

Abstract


This paper introduces a new type of fuzzy shortest path network problem using triangular fuzzy number. To find the smallest edge by the fuzzy distance using graded mean integration representation of generalized fuzzy number for every node. Thus the optimum shortest path for the given problem is obtained.

Keywords


Fuzzy Number, Graded Mean Integration Representation, Fuzzy Distance, Order Relation.