Shortest Path Problem in Network with Type-2 Triangular Fuzzy Arc Length

Abstract

In traditional shortest path problem it is always determined that the parameters (Time, Cost and Distance etc.) are fixed between different nodes. But in real life situations where uncertain parameters exist, parameters are considered as fuzzy numbers. In this paper, we explained the application scope of the given fuzzy ranking function. Using this method we can determine both the fuzzy shortest path and fuzzy shortest Distance from origin to Destination.

Keywords

• type –2 triangular fuzzy number
• fuzzy shortest path
• ranking function