The mechanism of Multi Criteria Decision Making (MCDM) techniques are used to deal with the complex decision making problems, in which fuzzy arithmetic operations play a vital role for analyzing fuzzy matrices. Most of the researchers use a-cut arithmetic operations for constructing the fuzzy models. However, using a-cut arithmetic operations one can realize that the fuzziness of the model makes the calculation complicated due to the accumulating phenomenon of fuzziness. Hence, this paper proposes a novel idea of using the weakest t-norm (Tw) for VIKOR technique. And this technique is illustrated with a real life situation. © International Science Press 2016.