Some results on the topology of fuzzy metric type spaces

Document Type : Research Paper

Authors

1 Mathematics Department, Mugla Stk Kocman University, 48000, Mugla, Turkey

2 Department of Mathematics, Graduate School of Natural and Applied Sciences, Mu˘gla Sıtkı Ko¸cman University, P.O.Box 48000, Mu˘gla, Turkey

Abstract

In this study, we investigate the concept of fuzzy metric type spaces. We show that s < Kt implies M(x, y, s) ≤ M(x, y, t). After emphasizing the fact that M(x, y, ) may not be nondecreasing for a fuzzy metric type space, we prove that intersection of two open sets is open. We give examples to show that open balls are not necessarily open and closed balls are not necessarily closed. Moreover, we show that these spaces are sequential, Fr´echet and weakly first countable. 

Keywords

References

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Journal of Hyperstructures
Volume 6, Issue 2
December 2017
Pages 128-135

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