摘要
不确定模糊集是基于信息和知识的不确定性提出来的,在处理信息系统中知识的不完善、不确定问题时有其自身的优点。定义了不确定模糊集上的截集,讨论了其性质。并在此基础上证明了不确定模糊集的分解定理、表现定理和扩展定理等基本定理。
Uncertain fuzzy set was raised based on the uncertainty of knowledge. They have many advantages in dealing with the imperfect and uncertain problems. The uncertain fuzzy cut set is defined; it is the generalization of fuzzy cut sets. And then various properties are discussed, in particular, the decomposition theorem, representation theorem and extension theorem about uncertain fuzzy sets are discussed.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2004年第5期1-4,共4页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
教育部人文社会科学重点研究基地重大资助项目(2000ZDX720 40002)
教育部跨世纪人才基金资助项目(99JA720001)
关键词
不确定模糊集
不确定模糊截集
分解定理
表现定理
扩展定理
uncertain fuzzy set
uncertain fuzzy cut set
decomposition theorem
representation theorem
extension theorem
