A modified technique for order preference by similarity to ideal solution (TOPSIS) approach has been proposed in this paper using cosine similarities and Ochiai coefficients to deal with different criteria which are of fuzzy in nature. The distances between the ideal solution and the positive/negative ideal solutions are obtained using the proposed cosine similarities and Ochiai coefficient techniques.  The closeness coefficients and TOPSIS grades are compared and the study validates that Ochiai measure approach is better than the cosine similarity measure. A numerical example is illustrated to prove the effectiveness of the proposed method in determining the best alternative.

TOPSIS, cosine similarity, Ochiai coefficient, MCDM, fuzzy set theory.