基于TOPSIS 的区间直觉模糊数排序法

基于传统的逼近理想解排序法(TOPSIS) 思想, 运用区间直觉模糊数的欧氏距离, 给出区间直觉模糊数相对于最大区间直觉模糊数的贴近度公式, 并给出区间直觉模糊数贴近度所具有的优良性质, 这些性质表明贴近度作为排序指标是合理的. 通过与文献中有关区间直觉模糊数排序法的对比分析, 表明基于贴近度的排序方法具有更高的区分能力. 运用新的排序指标提出一种区间直觉模糊多属性决策方法, 并通过实例表明了所提出方法的有效性．

Ranking method of interval-valued intuitionistic fuzzy numbers based on TOPSIS

Based on technique for order preference by similarity to an ideal solution(TOPSIS), by using the Euclidean distance of interval-valued intuitionistic fuzzy numbers(IVIFNs), the relative closeness degree of an IVIFN to the maximum IVIFN is proposed, and the excellent properties of the relative closeness degree are given. The properties show that the relative closeness degree serving as the ranking index is rational. Then, compared with some other ranking methods of IVIFN in literatures, the new ranking index shows higher discrimination capability. An interval-valued intuitionistic fuzzy multiple attribute decision making method is proposed by using the new ranking index, and an example is given to illustrate the effectiveness of the proposed method.