直觉模糊数加权高度排序法

Weighted Height Ranking Method of Intuitionistic Fuzzy Numbers

利用直觉模糊数的高度与左、右扩展高度差这两者之间的差异程度,文章提出了一种新的直觉模糊数加权高度排序法,证明该排序法满足模糊数排序法7个合理性公理中的6个公理,并对其与加权均值面积排序法的关系进行了比较分析.分析说明,所提出的加权高度排序法优于加权均值面积排序法.

In the intuitionistic fuzzy multiple attribute decision making problem, the decision information is often expressed by intuitionistic fuzzy number （IFN）, so the ordering of intuitionistic fuzzy numbers （IFNs） has always been an important subject of intuitionistic fuzzy multiple attribute decision making. In this paper, a new ranking method of IFNs is proposed based on the difference between the IFN height and spread heights. The new ranking method takes into account the risk attitude of decision makers. It is also proved that the new ranking method satisfies six of the seven axioms which are proposed by Wang for evaluate the rationality of ranking methods of fuzzy numbers. The properties of the proposed ranking method and its relationship with the weighted mean-area ranking method of IFNs are compared and analyzed. The weighted height ranking method which is proposed in this paper is proven to be superior than the weighted mean area ranking method.