摘要
结合概率语言集和语言犹豫模糊集定义了概率语言犹豫模糊集,它能表达出决策者对语言术语的偏好和语言术语属于集合的隶属度.同时定义了概率语言犹豫模糊集的得分函数和方差函数,并定义集合之间的一些基本运算.提出了概率语言犹豫模糊集的距离测度.最后把经典VIKOR方法拓展到概率语言犹豫模糊集环境中,并把该方法用于多属性决策问题中。
Combining the probabilistic linguistic term set and linguistic hesitant fuzzy set,the probabilistic linguistic hesitant fuzzy set is defined and it can express the preference of decision maker and the membership of linguistic term belonging to the probabilistic linguistic hesitant fuzzy set.At the same time,the score function and variance function of probabilistic linguistic hesitant fuzzy set are characterized,with some basic operations of the set being described.The distance measure of probabilistic linguistic hesitant fuzzy set is presented.Finally,the classic VIKOR method is extended to the circumstance of the probabilistic linguistic hesitant fuzzy set,and it is used in multiple attribute decision making.
作者
赵科星
黄先玖
ZHAO Kexing;HUANG Xianjiu(Department of Mathematics,Nanchang University,Nanchang 330031,China)
出处
《南昌大学学报（理科版）》
CAS
北大核心
2017年第6期511-518,共8页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(11461043
11661053)
江西省自然科学基金资助项目(20161BAB201009)
江西省杰出青年人才资助计划(20171BCB23004)
