Method of grey relational analysis for multi-attribute decision-making based on Pythagorean fuzzy set

Pythagorean fuzzy set (PFS) is applied to the problems of multi-attribute decision-making, and a similarity measure of grey relational analysis (GRA) and PFS based novel method for MADM is presented, and the corresponding algorithm is designed. Firstly, a new similarity measurement method is proposed, and some important properties are proved. Furthermore, the ranking of decision options is achieved by comparing the grey relational similarity of each option with the optimal and worst ideal sequences of the PFS when the attribute values are considered as the Pythagorean fuzzy number (PFN). Finally, a detailed example and comparative experiments are illustrated to prove the effectiveness and correctness of the proposed method.