A NOVEL SIMILARITY MEASURE AND SCORE FUNCTION OF PYTHAGOREAN FUZZY SETS AND THEIR APPLICATION IN ASSIGNMENT PROBLEM

In real-life problems, things are imprecise because of imprecision/inaccuracy, and the exact value of the measured quantities is impossible to get. Sometimes, due to time pressure/ incomplete knowledge, it is difficult for the decision-makers to provide their opinion. To describe the imprecision, the information in terms of the fuzzy is provided to allow the decision-makers to express their inputs freely. There is a valuable role of the fuzzy set (FS) and intuitionistic fuzzy set (IFS) to describe uncertainty under the uncertain situations. In the literature, various models are available for assignment problems under fuzzy sets and intuitionistic fuzzy sets. The Pythagorean fuzzy set (PFS) has a larger domain space than the intuitionistic fuzzy set to describe the membership grade. To handle the uncertainty in practical applications of assignment problems (AP), we have proposed a method to solve the Pythagorean fuzzy assignment problem (PFAP) using the proposed similarity measure and a score function. Numerical examples are given to explain the methodology.