Affiliations: [a] Department of Mathematics, Faculty of Science, University of Hafr Al Batin, Saudi Arabia
| [b] Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamil Nadu, India
| [c]
College of Vestsjaelland South, Herrestraede 11, Mathematical and Physical Science Foundation, Slagelse, Denmark
Correspondence:
[*]
Corresponding author. Mani Parimala, Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam-638401, Tamil Nadu, India. E-mail: [email protected].
Abstract: Imprecision in the decision-making process is an essential consideration. In order to navigate the imprecise decision-making framework, measuring tools and methods have been developed. Pythagorean fuzzy soft sets are one of the new methods for dealing with imprecision. Pythagorean fuzzy soft topological spaces is an extension of intuitionistic fuzzy soft topological spaces. These sets generalizes intuitionistic fuzzy sets for a broader variety of implementations. This work is a gateway to study such a problem. The concept of Pythagorean fuzzy soft topological spaces(PyFSTS), interior, closure, boundary, neighborhood of Pythagorean fuzzy soft spaces PyFSS, base and subspace of PyFSTSs are presented and its properties are figured out. We established an algorithm under uncertainty based on PyFSTS for multi-attribute decision-making (MADM) and to validate this algorithm, a numerical example is solved for suitable brand selection. Finally, the benefits, validity, versatility and comparison of our proposed algorithms with current techniques are discussed.The advantage of the proposed work is to detect vagueness with more sizably voluminous valuation space than intuitionistic fuzzy sets.
Keywords: Pythagorean fuzzy soft sets, Pythagorean fuzzy soft topology, Pythagorean fuzzy soft interior and soft closure, multi-attribute decision making
