A Group Decision-making Analysis Considering Predefined Groups in Network

Abstract

Experts who belong to predefined groups affect the decision-making behavior of those groups. Network structure measures are indicators of an expert’s brokerage role between such groups. In this article we make the following new contributions: (1) we normalize experts’ importance based on gefura measures, and define an allocation function of group density weight that indicates how experts consider predefined groups of different densities; (2) we put forward NGOWA(NGOWG) aggregation operators considering predefined groups and give properties of the operators. (3) we establish an optimization problem whose objective function expresses the stability of network, which consist of predefined groups.