We introduce the concepts of ($mathcal{T}^{{mu}{gamma}}$, $mathcal{U}^{{mu}{gamma}}$)-double (r, s) (u, v)-semiclosures and ($mathcal{T}^{{mu}{gamma}}$, $mathcal{U}^{{mu}{gamma}}$)-double (r, s)(u, v)-semiinteriors. Using the notions, we investigate some of characteristic properties of double pairwise (r, s)(u, v)-semicontinuous, double pairwise (r, s)(u, v)-semiopen and double pairwise (r, s)(u, v)-semiclosed mappings.