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In this paper, we introduce and characterize fuzzy weakly semiopen functions between fuzzy topological spaces as natural dual to the fuzzy weakly semicontinuous functions and also study these functions in relation to some other types of already known functions.2000 Math. Subject Classification : Primary: 54A40.

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In this paper we consider new weak and stronger forms of a-irresoluteness and a-closureness via the concept of gaclosed sets which we call ap-a-irresolute maps, ap-a-closed maps and contra-a-irresolute and we use it to obtain a characterization of a-T 1/2 spaces.