A novel PROMETHEE-based method using a Pythagorean fuzzy combinative distance-based precedence approach to multiple criteria decision making

This paper aims at developing a novel preference ranking organization method for enrichment evaluations (PROMETHEE) using a Pythagorean fuzzy combinative distance-based precedence approach under complex uncertainty based on Pythagorean fuzzy sets. This paper introduces a new generalized distance measure for adequately expressing differences between Pythagorean fuzzy information and utilizing fundamental parameters of Pythagorean membership grades. This paper defines the useful concept of precedence indices for determining the desirability of evaluative ratings about competing alternatives on a criterion. In Pythagorean fuzzy contexts, this paper establishes a combinative distance-based precedence approach for reflecting an overall balance between the connection with approach-oriented anchor values and the remotest connection with avoidance-oriented anchor values. This paper presents six types of new preference functions and proposes the comprehensive preference index for measuring the intensity of a pairwise preference. Based on the concepts of a dominant flow, a dominated flow, and an outranking flow, this paper develops a Pythagorean fuzzy PROMETHEE-based method and validates its feasibility and applicability using a multiple criteria decision-making problem of bridge-superstructure construction methods. A sensitivity analysis is carried out to investigate the effects of various parameter settings on the partial preordering and complete preordering of alternatives. Furthermore, a comparative analysis is performed with other relevant methods to evaluate the effectiveness of the proposed methodology.