Multi-criteria group decision making with Pythagorean fuzzy soft topology
Autor: | Muhammad Riaz, Fuad Ali Ahmed Almahdi, Deeba Afzal, Sajjad Shaukat Jamal, Khalid Naeem, Muhammad Aslam |
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Rok vydání: | 2020 |
Předmět: |
Statistics and Probability
0209 industrial biotechnology Theoretical computer science Computer science Pythagorean theorem General Engineering 02 engineering and technology Fuzzy logic Group decision-making 020901 industrial engineering & automation Artificial Intelligence Multi criteria 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Topology (chemistry) |
Zdroj: | Journal of Intelligent & Fuzzy Systems. 39:6703-6720 |
ISSN: | 1875-8967 1064-1246 |
Popis: | 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. |
Databáze: | OpenAIRE |
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