基于改进犹豫度的区间值犹豫模糊集距离测度及其应用

Interval-valued Hesitant Fuzzy Set Distance Measure Based on Improved Hesitation Degree and Its Application

模糊集的距离是决策问题中十分重要的数值指标。本文在计算模糊集的距离时不仅探讨了犹豫模糊区间2个端点值和区间个数的多寡对计算结果的影响,而且考虑了其内部区间标准差的差异对于区间值犹豫模糊集之间的距离带来的影响。在探讨了区间值犹豫模糊集的标准差以及由此引出的偏差距离的基础上进一步提出了带有改进犹豫度的区间值犹豫模糊集距离测度公式,并给出实例说明该公式的合理性和优越性。

The distance of fuzzy sets is a very important numerical index in decision making. In this paper, when calculating the distance, not only the influence of the two endpoint values and the number of intervals in the hesitation fuzzy interval on the calculation results is discussed, but also the effect of the difference of the standard deviation of the internal interval on the distance between the interval-valued hesitant fuzzy sets is considered. Based on the standard deviation of the interval value hesitation fuzzy set and the resulting deviation distance, the interval value hesitation fuzzy set distance measurement formula with improved hesitation is further proposed, and the rationality and superiority of the formula are given.