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针对属性权重完全未知且属性值为三角模糊数的多属性决策问题,提出一种基于线性规划和模糊向量投影的决策方法.该方法基于加权属性值离差最大化建立一个线性规划模型,通过求解此模型得到属性的权重,计算各方案的加权属性值在模糊正理想点和负理想点上的投影,进而计算相对贴近度,并据此对方案进行排序.最后,通过算例说明了模型及方法的可行性和有效性.
Aiming at the multi-attribute decision-making problem whose attribute weight is completely unknown and whose attribute value is triangular fuzzy number, a decision-making method based on linear programming and fuzzy vector projection is proposed. This method establishes a linear programming model based on maximizing dispersion of weighted attribute values, This model obtains the weights of the attributes and calculates the projection of the weighted attribute values of each scheme on the fuzzy positive and negative ideals, and then calculates the relative closeness, and then sorts the schemes accordingly.Finally, The feasibility and effectiveness of the method.