摘要
本文首先阐述了建立可拓子集的必要性,证明了可拓子集运算的合理性,建立了可拓格并讨论了可拓格与布尔格和Fuzzy格的异同。最后证明了在同一论域上的任意Fuzzy格都与可拓格的真子格同构,从而揭示了可拓格与Fuzzy格的内在联系。
The necessity of extendible subsets, the proof of operations of extendible subsets, and the concept of extendible lattice are given in this paper. The difference among extendible lattice, Boolean lattice and fuzzy lattice is discussed. Finally, the essential relationship between the extendible and fuzzy lattice are discovered by the establishment of the isomorphism between the proper subset of extendible lattice and the fuzzy lattice in the same domain.
出处
《沈阳工业大学学报》
EI
CAS
1989年第4期57-66,共10页
Journal of Shenyang University of Technology
