Theoretic analysis of the aggregate approach to group decision making with multiple fuzzy judgement matrices

An aggregate approach is proposed to analyze the group decision making problem with multiple fuzzy judgement matrices. Under the condition that multiple fuzzy judgement matrices are consistent for the same decision making problem, the theoretic basis of the aggregate approach is presented. Several important properties such as the relationships between the group fuzzy judgement matrix and the fuzzy judgement matrix provided by every decision maker are given. The research results lay a solid foundation for studying rankings of alternatives based on the group fuzzy judgement matrix.