摘要
P-模糊集(Packet fuzzy sets)是由P-集合(Packet sets)得到的一个新的模糊集,P-模糊集具有动态特性。P-模糊集是由内P-模糊集AF珔(Internal packet fuzzy set AF珔)与外P-模糊集AF(Outer packet fuzzy set AF)构成的模糊集合对;或者(AF珔,AF)是P-模糊集。利用内P-模糊集,本文给出内P-并分离系数、内P-模糊信息概念、内P-模糊集的并-分离定理、内P-模糊集并-分离与它的属性集合的关系定理、内P-模糊集并-分离的几何特征和内P-模糊集并-分离的应用。
P-fuzzy sets（packet fuzzy sets） are fuzzy sets obtained from P-sets（packet sets）,and P-fuzzy sets have dynamic characteristics.P-fuzzy sets are a pair of fuzzy sets composed of an internal P-fuzzy set A（internal packet fuzzy set A） and an outer P-fuzzy set AF（outer packet fuzzy set AF）,i.e.,（A,AF） are P-fuzzy sets.The notions of P-union separation coefficient,internal P-fuzzy information union-separation theorems of an internal P-fuzzy set,the relationship theorems between union-separation of internal P-fuzzy sets and its attribute sets,and the geometric characteristic of union-separation of internal P-fuzzy sets are given.Finally,applications of union-separation of internal P-fuzzy sets are provided.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2012年第1期104-109,共6页
Journal of Shandong University(Natural Science)
基金
山东省自然科学基金资助项目(ZR2010LA019)
关键词
内P-并分离系数
内P-模糊集
并-分离定理
属性特征
内P-模糊信息
internal P-union separation coefficient
internal P-fuzzy set
union-separation theorem
attribute character-istic
internal P-fuzzy information
