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In [8], we introduced the concept of fuzzy γ-minimal structure which is an extension of smooth fuzzy topological spaces and fuzzy topological spaces in Chang's sense. And we also introduced and studied the fuzzy γ-M continuity. In this paper, we introduce the concepts of fuzzy γ-minimal compactness, almost fuzzy γ-minimal compactness and nearly fuzzy γ-minimal compactness on fuzzy γ-minimal spaces and investigate the relationships between fuzzy γ-M continuous mappings and such types of fuzzy γ-minimal compactness.

Fuzzy r-Compactness on Fuzzy r-Minimal Spaces