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In this communication, a new two parametric fuzzy information measure of order-(α,β) is proposed in the settings of intuitionistic fuzzy set theory. Besides the validation of proposed measure, some of its major properties are also studied. Attributes weights play an important role in the solution of a MADM problem. Two methods of determining the attributes weights are discussed. Considering the importance of subjective and objective weights, a new multiple attribute decision-making (MADM) method based on the concept of VIsekriterijumska optimizacija i KOmpromisno Resenje (VIKOR) is introduced. The proposed MADM method is suitably explained with the help of two illustrative examples.