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针对决策矩阵元素为区间数的不确定多属性决策问题,提出一种新的决策方法。该方法视决策者和自然为博弈的双方,构建了区间值两人零和博弈。根据区间数不同的序关系,将区间值两人零和博弈转化为清晰值两人零和博弈,再通过求解对偶线性规划问题,得到博弈的最优策略,进而得到方案的预期得分,并给出各方案的排序结果。应用实例表明了方法的有效性和实用性。
Aiming at the uncertain multi-attribute decision-making problem with decision matrix elements as interval numbers, a new decision-making method is proposed. This method constructs the interval-valued two-person zero-sum game by considering both the decision maker and the nature as the game. According to the different ordinal relations of interval numbers, the zero-sum game of interval value is transformed into two-person zero-sum game of clear value. By solving the dual linear programming problem, the optimal strategy of the game is obtained, and the expected score of the solution is obtained Sort out the results of each program. The application example shows the validity and practicability of the method.