不完全犹豫模糊语言偏好关系的不一致性修复方法

An Inconsistency Repair Method for Incomplete Hesitant Fuzzy Language Preference Relationship

针对隶属度为犹豫模糊语言的不完全偏好关系,对其进行补全,并提出了一种基于偏差度的修复方法.首先,通过定义转换函数I以及f,并利用积性一致性补全不完全犹豫模糊语言偏好关系(IHFLPR).其次,基于误差偏好值以及两个犹豫度差值大小的比较准则,确定最大偏差度,并依据修复公式对不一致性进行修复.最后,通过实例以及与Xu的方法进行比较分析表明了该方法的有效性.

In this paper,the incomplete preference relation of hesitant fuzzy language is completed,and a repair method based on deviation degree is proposed.First,by defining the transformation functions I and f,and using the multiplicative consistent,the incomplete hesitant fuzzy language preference relation(IHFLPR)is completed,and then the maximum deviation degree is determined based on the error preference value and the comparison criterion of the difference between the two hesitations,and the inconsistency is repaired according to the repair formula.Finally,an example and comparison with Xu's method show the effectiveness of this method.