Multi-criteria decision making based on q-rung orthopair fuzzy promethee approach

The preference ranking organization method for enrichment of evaluations (PROMETHEE) constitutes a family of outranking multiple-attribute decision-making (MADM) methods that has been adopted by researchers from many areas during the last years. It provides reliable and clear results thanks to the advantages of different types of preference functions. In this paper, we incorporate the benefits of q-rung orthopair fuzzy set (for short, q-ROFS) in this strategy of solution. This model, q-ROFS, is a generalized form of Pythagorean fuzzy set (PFS), as it broadens the space of acceptable orthopairs and has an ability to deal with more elaborate and vague information. The technique of our extension of the PROMETHEE method uses q-rung orthopair fuzzy numbers to render the ratings of alternatives, which allows us to express uncertain and vague information more accurately. The usual criterion preference function has been used to measure the preferences of the alternatives. A partial ordering of alternatives is obtained by considering the outgoing and incoming flows of alternatives, which is known as PROMETHEE I. Furthermore, a complete ordering is accomplished by taking into account the procedure of PROMETHEE II. As a numerical exercise, we consider the selection of a contractor for a construction project. A full analysis is performed to illustrate the application of the technique that stems from our approach. Then we compare the results that we obtain with the results from existing approaches, including q-rung orthopair fuzzy ELECTRE, q-rung orthopair fuzzy TOPSIS, q-rung orthopair fuzzy VIKOR and q-rung orthopair fuzzy aggregation operators. In this way the accuracy and effectiveness of the presented work is conclusively validated.