A New Method for Handling Fuzzy Multiple Attributes Group Decision-Making Problems

In this paper, we present a new method to handle fuzzy multiple attributes group decision-making problems. First, we construct fuzzy importance matrices for decision-makers with respect to attributes and construct fuzzy evaluating matrices for decision-makers with respect to attributes of the alternatives. Then, based on the fuzzy importance matrices and the fuzzy evaluating matrices, we can get fuzzy rating matrices for decision-makers with respect to the alternatives. Then, we defuzzify the trapezoidal fuzzy numbers in the fuzzy rating matrices to get the rating matrices for the decision-makers. Then, we construct fuzzy preference matrices for the decision-makers with respect to the alternatives. Then, we calculate the average rating of each decisionmaker with respect to the alternatives. Then, we sort these average ratings in a descending sequence and assign them different scores. Then, we calculate the summation values of the scores of the alternatives with respect to each decision-maker, respectively. The larger the summation values of the scores, the better the choice of the alternative. The proposed method is simpler than the methods presented in [2] and [11]. It provides us with a useful way to handle fuzzy multiple attributes group decision-making problems. Keywords— Fuzzy Multiple Attributes Group Decision-Making, Linguistic Variables, Preference Matrix, Trapezoidal Fuzzy Numbers.