One of the foremost vital issue in transportation network is that the shortest path issue. The gap of shortest course is calculated utilizing this shortest path issue from supply hub to the destination hub. During this projected technique the Sub-Trident kind through Fuzzy Sub-Trident kind by utilizing quadrilateral fuzzy numbers with the help of Pascal’s Triangle hierarchal Mean which provides the Shortest Path and also the optimum resolution. Here this study consists of Sections: Basic definitions and notations within the main section, the projected technique within the second section, the rule or the algorithmic rule within the third section, recognizing the shortest path and getting the optimum resolution by giving appropriate numerical example within the fourth section and at last the fifth section provides the conclusion supported our study.

Keywords: Fuzzy, Path.

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