A sorting method for group decision making with considering multi-criteria reciprocal judgments

Different methods have been introduced for group decision-making with the purpose of development of a collective opinion from individual opinions. A few of these methods have utilized the preference relational system for choosing, ranking or sorting the alternatives by decision makers group. On the other hand, in many of the real applications, the alternatives under consideration are not passive and would have criteria for judgment and assessment of the members of decision makers group; that is the selection of each alternative requires each member of the decision makers group to have some particular qualifications and in fact each both dimensions of decision making have the role of arbiter toward each other and are proposed for making the decision outcomes to be efficient and realistic, it is necessary that the decision makers group consider the judgment of both dimension when making decisions. In this paper we take into account a method of ordinal sorting in Group Decision Making, which was proposed formerly, and it is expanded in a way that for sorting the alternatives in Group Decision Making, it take into account the reciprocal judgments with multiple criteria. An experiment is used to demonstrate the applicability of the approach.