Aggregation programming of experts'judgment information based on group consistency intensity in group decision-making

An aggregation programming group decision-making method by integrating virtual experts' judgment based on group consistency intensity is proposed. First, two experts' judgment information is integrated as preference ordering, and the result of this integration is regarded as the new judgment given by a " virtual expert ". Then, this virtual expert absorbs the information of a new expert as the next virtual expert. By the same means, another expert is absorbed in the previous virtual expert until the last. During this process, group consistency intensity is introduced to make sure the gradual convergence of the ultimate outcome. The group consistency intensity and the weight of every virtual expert depend on the individual number of experts included in the virtual expert. The larger the number of individual is, the greater the weight of virtual expert is, and thus the rule of majority is reflected. This method transforms the complicated multiple experts' group decision question into a low complexity decision question of two people, and guarantees the consistency of colony's result. An example shows the validity of the method.