Title: TODIM-based Pythagorean fuzzy multicriteria group decision making through similarity measure

Authors: Biswajit Sarkar; Animesh Biswas

Addresses: Department of Mathematics, Basirhat College, Basirhat-743412, India ' Department of Mathematics, University of Kalyani, Kalyani-741235, India

Abstract: This paper presents a TODIM (an acronym in Portuguese for interactive and multicriteria decision making) method to solve multicriteria group decision making problems under possibilistic uncertainty using a Pythagorean fuzzy similarity measure. At first, the weighted Hamming distance and Hausdörff distance for two Pythagorean fuzzy sets are defined. A new Pythagorean fuzzy similarity measure based on combination of the weighted Hamming distance and Hausdörff metric are proposed to measure the relative degree of dominance between the alternatives in the TODIM context. Then, overall values of the alternatives corresponding to each decision maker are evaluated using the TODIM technique. Finally, generalised mean aggregation operator is used to calculate final decision value for identifying the best alternative. A numerical example is considered and solved to establish the usefulness of the proposed method and the achieved solutions are compared with the existing methods in a Pythagorean fuzzy context.

Keywords: multicriteria group decision making; prospect theory; Pythagorean fuzzy sets; similarity measures; TODIM.

DOI: 10.1504/IJAIP.2022.123022

International Journal of Advanced Intelligence Paradigms, 2022 Vol.22 No.1/2, pp.184 - 199

Received: 04 Jan 2018
Accepted: 29 Oct 2018
Published online: 23 May 2022 *

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