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In this paper the authors introduce and investigate almost ( µ , σ )-irresolute, quasi ( µ , σ )-irresolute on generalized topological space (X, µ ) into the topological space (Y, σ ). Some characterizations and properties of such a type of functions are discussed.doi:10.15415/mjis.2015.32009 fatcat:rokhk5yu7fdrvicsfpz3v7g4fq