Multiple attributes group decision making under fuzzy environment

Under the circumstance that opinions of members or group decision making are assumed as positive fuzzy numbers, the authors propose a new approach to aggregate the experts' opinions based on a measure near degree and an absolute value of expectation difference of fuzzy numbers. When individual fuzzy opinions are aggregated into group consensus, the group decision making turns to an autarchy decision making. Two vectors which are made up of expectations ponderance of two fuzzy vectors form an angle as the angle of the fuzzy vectors, a conception of fuzzy vector projection is brought forward in this paper. The sizes of project coefficient, which the fuzzy attribute vector of each alternative projects on the fuzzy weighted vector, are a criterion to judge each alternative superior or inferior.