Abstract
In this paper we give a new method of constructing partial order on the set of formal balls of a KM-fuzzy metric space, which overcomes a key defect that the partial order on the set of formal balls depends on the minimum t-norm ∧ in the case of [19,21]. Further, based on a continuous t-norm, we will establish a connection between KM-fuzzy metric space and domain theory, which is that a KM-fuzzy metric space is T-complete if and only if its poset of formal balls is a domain.
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