Pythagorean Fuzzy Transportation Problem via Monalisha Technique.

Abstract

Pythagorean set theory is renowned procedure to deal with ambiguity in the optimization problems. The Pythagorean fuzzy sets (PFS) are more comprehensive than IFS because it provides a novel technique for modeling uncertainty and vagueness. PFSs have meaningful applications in many different fields. In this work we have applied Monalisha approximation method to solve a Pythagorean fuzzy transportation problem. Apart from normal procedures for defuzzification, score function is used to convert the PFS, which gives a better optimal solution. An algorithm for solving the proposed method is explained with a numerical example. Currently existing methods like North West corner (NWC), Least Cost (LCM), and Heuristics method (HM) are compared with the proposed method and the results are reveled.