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

OLGUN M., ÜNVER M., YARDIMCI Ş.

SOFT COMPUTING, cilt.25, sa.7, ss.5225-5232, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00500-020-05522-2
  • Dergi Adı: SOFT COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.5225-5232
  • Anahtar Kelimeler: Pythagorean fuzzy point, Similarity measure, Pattern recognition, Moore&#8211, Smith convergence, SIMILARITY MEASURES, AGGREGATION OPERATORS, OPERATIONAL LAWS, SETS
  • Ankara Üniversitesi Adresli: Evet

Özet

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.