Fuzzy proximal relator spaces
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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.
KeywordsProximity space Relator space Fuzzy relation Fuzzy proximity
Mathematics Subject Classification03E72 54E05 90B50
The authors are thankful for financial support from the Research Fund of Adiyaman University by the Project FEFMAP/2015-0010.
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Conflict of interest
All authors of this article have no relationships or interests that could have direct or potential influence or impart bias on any aspect of this work.
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