Affiliations: [a] Department of Mathematics, University of the Punjab, Lahore, Pakistan
| [b] Department of Mathematics & Statistics, The University of Lahore, Pakistan
Correspondence:
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Corresponding author. Muhammad Riaz, Department of Mathematics, University of the Punjab, Lahore, Pakistan. E-mail: mriaz.math@pu.edu.pk.
Abstract: In this article, we study some concepts related to q-rung orthopair fuzzy soft sets (q-ROFSSs) together with their algebraic structure. We present operations on q-ROFSSs and their specific properties and elaborate them with real-life examples and tabular representations to develop an influx of linguistic variables based on q-rung orthopair fuzzy soft (q-ROFS) information. We present an application of q-ROFSSs to multi-criteria group decision-making (MCGDM) process related to the university choice, accompanied by algorithm and flowchart. We develop q-ROFS TOPSIS method and q-ROFS VIKOR method as extensions of TOPSIS (a technique for ordering preference through the ideal solution) and VIKOR (Vlse Kriterijumska Optimizacija Kompromisno Resenje), respectively. Finally, we tackle a problem of construction utilizing q-ROFS TOPSIS and q-ROFS VIKOR methods.
