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针对属性权重和决策矩阵的属性值均为梯形模糊数的模糊多属性决策问题,提出了一种基于集对分析的决策方法.方法具有如下特点:通过借鉴集对分析理论和论域三划分的思想,把梯形模糊数属性值转化成联系数的形式,能有效处理决策过程中的不确定因素;对于权重向量和决策矩阵中的梯形模糊数采取不同的处理方法;用联系数决策理论的概念来刻画备选方案与正、负理想方案组成集对的同一对立程度;基于可能势的联系数排序能够准确反映联系数间的同一对立程度,方法直观,概念明确,易于实际操作.实例计算表明,方法是求解模糊多属性决策问题的一种有效工具.
Aiming at the fuzzy multi-attribute decision making problem that the attribute weights and decision matrices are trapezoidal fuzzy numbers, a decision-making method based on set pair analysis is proposed. The method has the following characteristics: By referring to the set pair analysis theory and the three- Which can effectively deal with the uncertain factors in decision-making process, adopt different processing methods for weight vector and trapezoidal fuzzy number in decision matrix, and use the concept of linked number decision theory To describe the same degree of antagonism between the alternatives and the positive and negative ideal solutions. The ranking of the contacts based on the probable potential can accurately reflect the same degree of antagonism between the numbers of connections, the method is intuitive, the concept is clear and the practical operation is easy. , The method is an effective tool to solve the fuzzy multi-attribute decision making problem.