摘要
把动态特性引入到有限普通集合X内,改进了普通集合X,提出了P-集合(packet sets);P-集合是由内P-集合X■(internal packet set X■)与外P-集合XF(outer packet set XF)构成的集合对;或者(X■,XF)是P-集合。P-集合具有动态特性:内P-集合具有内-动态特性,外P-集合具有外-动态特性。把P-集合(X■,XF)引入到L.A.Zadeh模糊集A中,改进L.A.Zadeh模糊集A,提出P-模糊集(packet fuzzy sets)。P-模糊集是由内P-模糊集A■(internal packetfuzzy set A■)与外P-模糊集AF(outer packet fuzzy set AF)构成的模糊集合对,或者(A■,AF)是P-模糊集。P-模糊集具有动态特性,给出了P-模糊集的若干特征与应用。在一定条件下,P-模糊集(A■,AF)能够回到L.A.Zadeh模糊集A的"原点"。P-模糊集比L.A.Zadeh模糊集具有更大的应用空间。P-模糊集是模糊集理论与应用中的一个新的研究方向。
By introducing dynamic characteristics to finite ordinary set X,the ordinary set Xwas improved and P-sets（packet sets） was proposed.P-sets is a pair of sets composed of internal P-set X（internal packet set X） and outer P-set XF（outer packet set X^F）,or,（X,X^F is P-sets.P-sets has dynamic characteristics,that is,internal P-set has internal dynamic characteristics and outer P-set has outer dynamic characteristics.P-sets（X,X^F） was introduced to fuzzy set A of L.A.Zadeh,the fuzzy set A of L.A.Zadeh was improved,P-fuzzy sets（packet fuzzy sets） was given.P-fuzzy sets is a pair of fuzzy sets composed of internal P-fuzzy set A（internal packet fuzzy set A）and outer P-fuzzy set A^P（outer packet fuzzy set A^P）,or,（A,A^P）is P-fuzzy sets.P-fuzzy sets has dynamic characteristics,some properties and applications of P-fuzzy sets were given.Under certain conditions,P-fuzzy sets（A,A^P）can come back to the original of ordinary fuzzy set A of L.A.Zadeh.P-fuzzy sets has more extensive applications than fuzzy set of L.A.Zadeh.P-fuzzy sets is a new direction of fuzzy set theory and applied research.
出处
《计算机科学》
CSCD
北大核心
2011年第5期194-198,共5页
Computer Science
基金
山东省自然科学基金(ZR2010AL019)资助
