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研究了属性权重完全未知的区间直觉梯形模糊数的多属性决策问题,结合TOPSIS方法定义了相对贴近度及总贴近度公式.首先由区间直觉梯形模糊数的Hamming距离给出了每个方案的属性与正负理想解的距离,基于此,给出了相对贴近度矩阵,根据所有决策方案的综合贴近度最小化建立多目标规划模型,从而确定属性的权重值,然后根据区间直觉梯形模糊数的加权算数平均算子求出各决策方案的总贴近度,根据总贴近度的大小对方案进行排序;最后,通过实例分析说明该方法的可行性和有效性.
The multi-attribute decision-making problem of interval intuitionistic trapezoidal fuzzy numbers whose attribute weights are completely unknown is studied. The TOPSIS method is used to define the relative degree of closeness and total degree of approximation. Firstly, the Hamming distance of interval intuitionistic trapezoidal fuzzy numbers Based on this, the relative closeness matrix is given and the multi-objective programming model is established according to the minimization of the overall close degree of all decision-making schemes to determine the weight value of the attribute. Based on the interval intuitionistic trapezoidal fuzzy number Weighted average operator to find the total closeness of each decision-making program, according to the total close degree of the size of the program to sort; Finally, an example to illustrate the feasibility and effectiveness of the method.