Using score function in a matrix game is very rare. In the proposed paper we have considered a matrix game with pay-off as triangular intuitionistic fuzzy number and a new ranking order has been proposed using value judgement index, available definitions and operations. A new concept of score function has been developed to defuzzify the pay-off matrix and solution of the matrix game has been obtained. A numerical example has been given in support of the proposed method.
 I. Nishizaki and M. Sakawa, “Equilibrium Solutions for Multiobjective Bimatrix Games Incorporating Fuzzy Goals,” Journal of Optimization Theory and Applications, Vol. 86, No. 2, 1995, pp. 433-457. doi:10.1007/BF02192089
 P. K. Nayak and M. Pal, “Linear Programming Technique to Solve Two Person Matrix Games with Interval Pay- Offs,” Asia-Pacific Journal of Operational Research, Vol. 26, No. 2, 2009, pp. 285-305. doi:10.1142/S0217595909002201
 D. F. Li and J. X. Nan, “A Nonlinear Programming Approach to Matrix Games with Payoffs of Atanassov’s Intuitionistic Fuzzy Sets,” International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 17, No. 4, 2009, pp. 585-607.
 M. R. Seikh, M. Pal and P. K. Nayak, “Application of Triangular Intuitionistic Fuzzy Numbers in Bi-Matrix Games,” International Journal of Pure and Applied Ma- thematics, Vol. 79, No. 2, 2012, pp. 235-247.
 J.-X. Nan, D.-F. Li and M.-J. Zhang, “A Lexicographic Method for Matrix Games with Payoffs of Triangular Intuitionistic Fuzzy Numbers,” International Journal of Computational Intelligence Systems, Vol. 3, No. 3, 2010, pp. 280-289. doi:10.2991/ijcis.2010.3.3.4
 G. S. Mahapatra and T. K. Roy, “Reliability Evaluation Using Triangular Intuitionistic Fuzzy Numbers Arithmetic Operations,” International Journal of Computational and Mathematical Sciences, Vol. 3, No. 5, 2009, pp. 225- 231.
 H. B. Mitchell, “Ranking Intuitionistic Fuzzy Numbers,” International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 12, No. 3, 2004, pp. 377-386. doi:10.1142/S0218488504002886
 S.-M. Chen and J.-M. Tan, “Handling Multicriteria Fuzzy Decision Making Problems Based on Vague Set Theory,” Fuzzy Sets and Systems, Vol. 67, No. 2, 1994, pp. 163- 172. doi:10.1016/0165-0114(94)90084-1