Abstract
In this paper we introduce and study the concepts of fuzzy perfect, fuzzy θ-continuous, fuzzy irreducible and fuzzy θ-perfect mappings. It is shown that the small image of a canonical open fuzzy set remains canonical open under fuzzy θ-closed irreducible mapping. Also, we introduce and study the concept of fuzzy θ-proximity spaces and point out their interrelation with separated fuzzy proximity spaces by means of fuzzy θ-perfect irreducible mappings.
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