Abstract

Compactness and connectedness play a crucial role in Topology. In this paper, we introduce concepts of fuzzy pre-$\gamma$-compact, fuzzy pre-$\gamma$-connected and fuzzy pre-$\gamma$-closed spaces by using concepts of fuzzy pre-$\gamma$-open sets. Then we study their properties and compare them.

Keywords and Phrases

Fuzzy pre-$\gamma$-open sets, fuzzy pre-$\gamma$-compact, fuzzy pre-$\gamma$-connected, fuzzy pre-$\gamma$-closed spaces.

A.M.S. subject classification

54A05, 54A40, 54D05, 54D30.

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