Fuzzy proximal relator spaces

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

NEURAL COMPUTING & APPLICATIONS, vol.31, no.7, pp.3201-3210, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 7
  • Publication Date: 2019
  • Doi Number: 10.1007/s00521-017-3268-1
  • Journal Name: NEURAL COMPUTING & APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3201-3210
  • Kayseri University Affiliated: No

Abstract

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.