Fuzzy Soft Metric and Fuzzifying Soft Topology Induced by Fuzzy Soft Metric

Abdülkadir Aygünoğlu, Ebru Aydoğdu, Halis Aygün


Our main goal with this paper is to investigate fuzzifying soft topology induced by fuzzy soft metric. For this, firstly we introduce a fuzzy soft metric on soft set compatible to soft set theory and by using this we construct a fuzzy metric by the sense of [18] on soft set. Then we investigate fuzzifying soft topology characterized by this fuzzy metric and studied their properties.

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