Fuzzy-TOPSIS Method with Multi-goal

To develop the technique for order preference by similarity to an ideal solution, namely, TOPSIS method with multi-goal in fuzzy decision environment. Firstly, a new approach to constructing fuzzy decision matrix by Choquet integral was proposed in multi-goal decision system. Secondly, the concepts of fuzzy positive-ideal solution and fuzzy negative-ideal solution related to the fuzzy decision matrix were given. Finally, the credibility measure was adopted to calculate the distances to fuzzy positive-ideal solution and fuzzy negative-ideal solution. The presented fuzzy-TOPSIS method embodies well both the predetermined preferences and the weights of goals.