基于多粒度粗糙直觉犹豫模糊集的最优粒度选择方法  

Optimal Granulation Selection Method Based on Multi-granulation Rough Intuitionistic Hesitant Fuzzy Sets

作　　者：薛占熬[1,2] 孙冰心 侯昊东[1,2] 荆萌萌 XUE Zhan-ao;SUN Bing-xin;HOU Hao-dong;JING Meng-meng(College of Computer and Information Engineering,Henan Normal University,Xinxiang,Henan 453007,China;Engineering Lab of Henan Province for Intelligence Business&Internet of Things,Xinxiang,Henan 453007,China)

机构地区：[1]河南师范大学计算机与信息工程学院,河南新乡453007 [2]“智慧商务与物联网技术”河南省工程实验室,河南新乡453007

出　　处：《计算机科学》2021年第10期98-106,共9页Computer Science

基　　金：国家自然科学基金(62076089,61772176);河南省科技攻关项目(182102210078,182102210362)。

摘　　要：为了对含有多属性的直觉犹豫模糊决策信息系统进行约简,获取最优粒度,运用多粒度粗糙集处理直觉犹豫模糊决策信息系统中的不确定信息,并对多粒度粗糙直觉犹豫模糊集的最优粒度选择方法进行了研究。首先,在直觉犹豫模糊集的基础上引入属性信息,给出粗糙直觉犹豫模糊集的概念,提出乐观、悲观多粒度粗糙直觉犹豫模糊集的下、上近似这4种模型,且研讨了它们的性质。其次,主要定义了基于悲观多粒度粗糙直觉犹豫模糊集下近似的粒度质量相似度和内、外粒度重要度的计算公式,设计了其最优粒度选择算法。最后,通过葡萄酒测评的案例,分别基于乐观、悲观多粒度粗糙直觉犹豫模糊集的下、上近似这4种情况,计算出最优粒度并进行了分析,验证了该算法在直觉犹豫模糊决策信息系统中的约简是有效的。In order to obtain the optimal granulations after reduction from the intuitionistic hesitant fuzzy decision information system with multiple attributes,this paper deals with the uncertain information in this system from the perspective of multi-gra-nulation rough sets,and studies optimal granulation selection method based on multi-granulation rough intui tionistic hesitant fuzzy sets.Firstly,on the basis of intuitionistic hesitant fuzzy sets,attribute information is introduced,and the concept of rough intui-tionistic hesitant fuzzy sets is given.Then four upper and lower approximation models of optimistic and pessimistic multi-granulation rough intuitionistic hesitant fuzzy sets are proposed,and the related properties are discussed.Secondly,mainly based on the lower approximation of the pessimistic multi-granulation rough intuitionistic hesitant fuzzy set,this paper defines the granu-lation quality similarity degree and internal/external granulation importance degree,and the related algorithm of optimal granulation selection is designed.Finally,through the wine evaluation case,optimal granularities are calculated based on the four cases of optimistic and pessimistic multi-granulation rough intuitionistic hesitant fuzzy set’s upper and lower approximation,then analyzes results.It is verified that algorithms are effective for the reduction of intuitionistic hesitant fuzzy decision information system.

关 键 词：直觉犹豫模糊集 多粒度 粗糙集 粒度重要度 最优粒度选择 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]