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We obtain the basic R-matrix of the two-parameter Quantum group U=Uₑ, ₒ (so₂₍) via its weight representation theory and determine its R-matrix with spectral parameters for the two-parameter quantum affine algebra U=Uₑ, ₒ (so₂₍). Using the Gauss decomposition of the R-matrix realization of U=Uₑ, ₒ (so₂₍), we study the commutation relations of the Gaussian generators and finally arrive at its RLL-formalism of the Drinfeld realization of two-parameter quantum affine algebra U=Uₑ, ₒ (so₂₍).
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