Pythagorean fuzzy points and applications in pattern recognition and Pythagorean fuzzy topologies


SOFT COMPUTING, vol.25, no.7, pp.5225-5232, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 7
  • Publication Date: 2021
  • Doi Number: 10.1007/s00500-020-05522-2
  • Journal Name: SOFT COMPUTING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Page Numbers: pp.5225-5232
  • Keywords: Pythagorean fuzzy point, Similarity measure, Pattern recognition, Moore&#8211, Smith convergence, SIMILARITY MEASURES, AGGREGATION OPERATORS, OPERATIONAL LAWS, SETS
  • Ankara University Affiliated: Yes


In this paper, we define the concept of Pythagorean fuzzy point. We define a similarity measure between Pythagorean fuzzy points, and we give an application of this similarity measure in pattern recognition. We also introduce a new type of continuity for the functions defined between two Pythagorean fuzzy topological spaces. Moreover, we introduce the concept of Moore-Smith convergence in Pythagorean fuzzy topological space, and we investigate the relationship between convergence of nets and continuity.