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针对属性值为区间梯形直觉模糊且属性权重为区间数的多属性决策问题,提出一种基于分式规划的决策方法.定义了区间梯形直觉模糊数的Hamming距离和Euclidean距离,采用优劣解距离法构建了相对贴近度的非线性分式规划模型,并通过Charnes and Cooper变换转化为线性规划模型求解,得到各方案相对贴近度的区间数,进而提出了决策方法.数值算例分析验证了所提出方法的有效性.
Aiming at the multi-attribute decision making problem that the attribute value is interval trapezoidal intuitionistic fuzzy and attribute weight is interval number, a decision-making method based on fractional programming is proposed. The Hamming distance and Euclidean distance of interval trapezoidal intuitionistic fuzzy numbers are defined, We construct a nonlinear fractional programming model with relative closeness and transform it into a linear programming model through Charnes and Cooper transformation to get the interval numbers of the relative closeness of each scheme and then put forward the decision method.The numerical example shows that Put forward the effectiveness of the method.