Pythagorean fuzzy multi-attribute decision making approach with incomplete weight information

Abstract

Pythagorean fuzzy (PF) set is widely employed in multi-attribute decision making (MADM) process as it provides excellent convenience in describing the inference information of decision makers. In this paper, we develop a new PF MADM framework with incomplete weight information. Firstly, a linear programming model based on PF decision matrix and PF judgment matrix is introduced to determine the weights of attribute. Secondly, a new additive consistency checking index based on the order σ discriminant PF information is proposed. Then, we present the PF Yager weighted averaging aggregation operator to aggregate the PF decision information based on Yager triangular norms, which has the desirable property of being monotonic with respect to the total order. Finally, a comprehensive MADM framework is constructed by integrating the above elements, and a case of purchasing air conditioner is given to illustrate the applicability of the proposed approach.