Multistage decision approach for short life cycle products using Pythagorean fuzzy set

Article type: Research Article

Authors: Mahboob, Aamir | Rashid, Tabasam^{; *}

Affiliations: Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Correspondence: [*] Corresponding author. Tabasam Rashid, Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan. E-mail: tabasam.rashid@umt.edu.pk.

Abstract:  In this paper, a multistage decision-making problem concerning uncertainty and ambiguity is discussed using Pythagorean fuzzy sets. Complement Pythagorean fuzzy membership grades and their properties are also considered. Using the definition of an alpha-level set, we introduce the multistage decision-making problems, where the possibility theory and satisfaction grades are declared with the help of Pythagorean membership grades. Pythagorean multistage decision-making is an uncertain theory, where decision-maker has only one opportunity to choose the scenario under the combination of Pythagorean possibility and satisfaction grades at each stage. According to the selection of criteria, a series of decision points are concluded. The payoff collaborates with these decision points at each stage. The multistage decision-making using Pythagorean fuzzy sets is the scenario-based theory in place of other theories like lottery-based theory etc. The results have been calculated using multistage Pythagorean fuzzy sets in which the decision-maker has only one chance to select the optimal solution. The TOPSIS technique has been applied and the comparison between these two techniques is highlighted.

Keywords: Pythagorean fuzzy sets, Dynamic Programming, Multistage decision making, TOPSIS

DOI: 10.3233/JIFS-201661

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 1343-1356, 2021