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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.