摘要
直觉模糊集和多粒度粗糙集的融合是一个研究热点.针对多粒度粗糙直觉模糊集的表示问题,根据直觉模糊集的分解定理和截集理论,构造了乐观和悲观多粒度粗糙直觉模糊集模型,定义了乐观和悲观多粒度粗糙直觉模糊集上下近似集,并证明了多粒度粗糙直觉模糊集的一些性质,同时提出了一个新的直觉模糊集的相似度公式.最后通过小麦长势评估实例,分析讨论了乐观和悲观多粒度粗糙直觉模糊集模型的有效性.
It has been a hot research topic about the combination of multi-granularity rough sets and intuitionistic fuzzy sets.In this paper,for the representation problem of multi-granularity rough intuitionistic fuzzy sets,the optimistic and pessimistic multi-granularity rough intuitionistic fuzzy sets model are structured with the decomposition theorems and the cut set theory of intuitionistic fuzzy sets,and the upper and lower approximation sets are defined on the optimistic and pessimistic multigranularity rough intuitionistic fuzzy sets.Furthermore,some properties of multi-granularity rough intuitionistic fuzzy sets are proved.At the same time,a new similarity formula of intuitionistic fuzzy sets is proposed.Finally,we analyze and discuss the validity of the optimistic and pessimistic multi-granularity rough intuitionistic fuzzy model through the example of wheat growth evaluation.
作者
薛占熬
王楠
司小朦
朱泰隆
XUE Zhanao WANG Nan SI Xiaomeng ZHU Tailong(College of Computer and Information Engineering~ Engineering Lab of Henan Province for Intelligence Business b- Internet of Things, Henan Normal University, Xinxiang 453007, Chin)
出处
《河南师范大学学报（自然科学版）》
CAS
北大核心
2016年第5期131-139,共9页
Journal of Henan Normal University(Natural Science Edition)
基金
国家自然科学基金(61273018)
河南省基础与前沿技术研究计划项目(132300410174)
河南省教育厅计划项目(14A520082)
新乡市重点科技攻关计划项目(ZG14020)
关键词
直觉模糊集
粗糙集
粒度
截集
相似度
intuitionistic fuzzy sets
rough sets
multi-granularity
cut sets
similarity
