Finding Shortest Path in a Network Using Trapezoidal Intuitionistic Fuzzy Number

Vol-4 | Issue-02 | February 2019 | Published Online: 10 February 2019    PDF ( 578 KB )
DOI: https://doi.org/10.5281/zenodo.2561577
Author(s)
Maheswari D 1; Harshini K 2

1Assistant professor, Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore (India)

2PG Scholar, Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore (India)

Abstract

In this paper, we present an algorithm to find the shortest path from a source node to a destination node on a network using α-cut and Euclidean distance. We also solved a numerical example in which each edge assigns activity duration as trapezoidal intuitionistic fuzzy numbers.

Keywords
Network, Trapezoidal Intuitionistic Fuzzy number, α-cut set, Euclidean distance, shortest path
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