Affiliations: [a] Department of Mathematics, University of the Punjab, Lahore, Pakistan
| [b] Department of Mathematics & Statistics, The University of Lahore, Pakistan
| [c] Department of Mathematics, King Khalid University, Abha, Saudi Arabia
Correspondence:
[*]
Corresponding author. Muhammad Riaz, Department of Mathematics, University of the Punjab, Lahore, Pakistan. E-mail: mriaz.math@pu.edu.pk.
Abstract: Pythagorean fuzzy set (PFS) introduced by Yager (2013) is the extension of intuitionistic fuzzy set (IFS) introduced by Atanassov (1983). PFS is also known as IFS of type-2. Pythagorean fuzzy soft set (PFSS), introduced by Peng et al. (2015) and later studied by Guleria and Bajaj (2019) and Naeem et al. (2019), are very helpful in representing vague information that occurs in real world circumstances. In this article, we introduce the notion of Pythagorean fuzzy soft topology (PFS-topology) defined on Pythagorean fuzzy soft set (PFSS). We define PFS-basis, PFS-subspace, PFS-interior, PFS-closure and boundary of PFSS. We introduce Pythagorean fuzzy soft separation axioms, Pythagorean fuzzy soft regular and normal spaces. Furthermore, we present an application of PFSSs to multiple criteria group decision making (MCGDM) using choice value method in the real world problems which yields the optimum results for investment in the stock exchange. We also render an application of PFS-topology in medical diagnosis using TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution). The applications are accompanied by Algorithms, flow charts and statistical diagrams.
Keywords: PFS-topology, stock exchange investment, choice value method, medical diagnosis, TOPSIS
