Fuzzy proximal relator spaces

Ozturk M. A., Inan E., Tekin O., Peters J. F.

NEURAL COMPUTING & APPLICATIONS, cilt.31, sa.7, ss.3201-3210, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00521-017-3268-1
  • Dergi Adı: NEURAL COMPUTING & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3201-3210
  • Kayseri Üniversitesi Adresli: Hayır

Özet

This paper introduces fuzzy Lodato-Smirnov proximal relator spaces. We define fuzzy proximity relation to evaluate the proximity of the sets. Also, it is shown that the max-min composition of fuzzy proximity relations is associative and the Smirnov proximity measure on the Lodato proximity space is a fuzzy spatial Lodato proximity relation. Fuzzy proximity relation approach can be applied to some problems. Therefore, it is used to solve a few issues such as precise sorting of near sets, solution of classification problems and given examples for the problems.