Fuzzy proximal relator spaces
NEURAL COMPUTING & APPLICATIONS, vol.31, no.7, pp.3201-3210, 2019 (SCI-Expanded, Scopus)
- 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.