Some q-rung orthopair fuzzy hybrid aggregation operators and TOPSIS method for multi-attribute decision-making

Article type: Research Article

Authors: Riaz, Muhammad^{a; *} | Farid, Hafiz Muhammad Athar^a | Karaaslan, Faruk^b | Hashmi, Masooma Raza^a

Affiliations: [a] Department of Mathematics, University of the Punjab, Lahore, Pakistan | [b] Department of Mathematics, Çankırı Karatekin University, Çankırı, Turkey

Correspondence: [*] Corresponding author. Muhammad Riaz, Department of Mathematics, University of the Punjab, Lahore, Pakistan. E-mail: mriaz.math@pu.edu.pk.

Abstract: The q-rung orthopair fuzzy numbers (q-ROFNs) are used to deal with vague and uncertain information and they are superior to the intuitionistic fuzzy numbers (IFNs) and the Pythagorean fuzzy numbers (PFNs). In this paper, we introduce two operators namely q-rung orthopair fuzzy hybrid weighted arithmetic geometric aggregation (q-ROFHWAGA) operator and q-rung orthopair fuzzy hybrid ordered weighted arithmetic geometric aggregation (q-ROFHOWAGA) operator. The suggested operators q-ROFHWAGA and q-ROFHOWAGA are superior to the existing operators defined on q-ROFNs. We present an application of the proposed operator of q-ROFHWAGA to multiple-attribute decision-making (MADM) in computer numerical control (CNC) machine. Furthermore, we present TOPSIS method based on q-ROFNs for MADM in transport policy problem.

Keywords: q-rung orthopair fuzzy numbers, q-rung orthopair fuzzy hybrid aggregation operators, multi-attribute decision-making, CNC machine

DOI: 10.3233/JIFS-192114

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 1, pp. 1227-1241, 2020