一种新的区间直觉犹豫模糊集的距离及相似度

A New Distance and Similarity of Interval-valued Intuitionistic Hesitant Fuzzy Sets

在通过具体实例说明已有的区间直觉犹豫模糊集的距离与相似度定义仅仅只考虑区间直觉犹豫模糊数的左右端点值差异,没有考虑区间直觉犹豫模糊数的个数差异的不足后,引入区间直觉犹豫模糊集犹豫度的概念,提出一种新的区间直觉犹豫模糊集的距离及相似度定义,并理论上分析了新定义的良好性质.通过求解一个多属性决策问题的例子,对所提出的距离测量方法与已有的距离测量方法进行比较,证明了所提出的距离测量方法的合理性和有效性.

The existing definition of distance and similarity of the interval-valued intuitionistic hesitant fuzzy sets only illustrates the difference of the left and right endpoint values of the interval-valued intuitionistic hesitant fuzzy numbers,but the shortage of the number difference between the interval-valued intuitionistic hesitant fuzzy numbers is not taken into consideration.Then a new concept of interval-valued intuitionistic hesitant fuzzy sets was introduced,a new definition of distance and similarity of interval-valued intuitionistic hesitant fuzzy sets was proposed,and the good properties of the new definition were analyzed in a theoretical way.Finally,an example of multi-attribute decision making problem was solved,and the proposed distance measurement method was compared with the existing distance measurement method.The results show that the proposed distance measurement method is effective and applicable.