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In this paper we use fuzzy˛-sets in order to obtain certain characterizations and properties of upper (or lower) fuzzy˛-continuous multifunctions.

In this paper, we define and study fuzzy generalized α-closed sets and r-open sets of a given L-fuzzy topological space and prime element r ∈ P (L) and coprime element α ∈ M (L). The concept of L-fuzzy ropen sets was introduced in [10], and it was proved that all r-open sets for L-fuzzy topological space form a new L-fuzzy topology, which is called stratiform L-fuzzy topology. Making use of the fuzzy generalized α-closed sets, fuzzy generalized α-continuous map is presented.

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