VIKOR Method for Group Decision Making Problems with Ordinal Interval Numbers

In order to solve the group decision making problems with ordinal interval preference information, a new decision method is proposed based on VIKOR method. The VIKOR method of compromise ranking determines a compromise solution, providing a maximum “group utility” for the “majority” and a minimum of an “individual regret” for the “opponent”, which is an effective tool in multi-attribute decision making. By integrating the operational laws of ordinal interval and the concept of VIKOR method, the detail calculation steps are developed for the group decision making with ordinal interval preference information. Because the comprehensive evaluation values are still interval numbers, we induce the possibility degree to compare these interval numbers. Finally, an example is given, the result shows the approach is simple, effective and easy to calculate.