Abstract
In fields such as mathematics, statistics, computer science, etc., the theory of fuzzy metric spaces is crucial. In this work, a new significant characteristics of the space of fuzzy soft metric are presented, following Kider's (2020) proposal of the fuzzy soft metric model. furthermore, to study hyperspaces in terms of this specific fuzzy soft metric notion. A fuzzy soft distance between two fuzzy soft compact sets is created. A formulation has been proposed for establishing a Hausdorff fuzzy soft metric on the collection of non-empty fuzzy soft compact subsets. Additionally, a variety of essential features of the Hausdorff fuzzy soft metric concept are described.
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