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

Document Type : Research Paper


Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan


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