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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。
The dynamic characteristics are introduced into the finite normal set X. The normal set X is improved and P-set is proposed. The P-set is composed of internal Pset Set X ■ and External P- Set XF (outer packet set XF); or (X ■, XF) is a P-set. The P-set has dynamic properties: the inner P-set has an inner-dynamic characteristic and the outer P-set has an outer-dynamic characteristic. Introduce P-sets (X ■, XF) into L.A.Zadeh fuzzy sets A, improve L.A.Zadeh fuzzy sets A, and propose P-fuzzy sets. The P-fuzzy set is a fuzzy set pair consisting of an internal packetfuzzy set A ■ and an outer packet fuzzy set AF, or (A ■, AF) is a P- Fuzzy set. P-fuzzy sets have dynamic characteristics, and some features and applications of P-fuzzy sets are given. Under certain conditions, the P-fuzzy set (A ■, AF) can be returned to the “origin” of L.A. Zadeh fuzzy set A. P-fuzzy sets have more application space than L.A. Zadeh fuzzy sets. P-fuzzy sets are a new research direction in the theory and application of fuzzy sets.