A VIKOR METHOD BASED ON BIPOLAR INTUITIONISTIC FUZZY SOFT SET
S. Anita Shanthi and P. Jayapalan
This paper deals with classical VIKOR method using bipolar intuitionistic fuzzy soft Set $(BIFSS)$. The term VIKOR stands for “multi criteria optimization and compromise solution”. First, the score function on $BIFSS$ is proposed to compute the score of each alternative and construct the score matrix of the collective bipolar intuitionistic fuzzy soft decision matrix. Bipolar intuitionistic fuzzy soft positive ideal and negative ideal solutions are found. $BIFS$ entropy is employed to compute the weight function. A method is framed for the multi criteria decision making. The values of group utility and individual regret value is determined and by this the compromising ranking solution is obtained. Having ranked the alternatives the best among them is chosen. Finally, an illustration is given to show the effectiveness and advantages of this method.
Keywords: Bipolar intuitionistic fuzzy soft set, VIKOR method, BIFS score function, BIFS entropy measure, multi criteria decision making problem.