篇名 | Pre-semicompact L-subsets in fuzzy lattices |
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卷期 | 12:1 |
作者 | Shi-Zhong Bai |
頁次 | 059-065 |
關鍵字 | Fuzzy lattice 、 Pre-semiopen set 、 Constant α -net 、 α -level filter base 、 Pre-semicompact L -subset 、 EI 、 SCI 、 SCIE 、 Scopus |
出刊日期 | 201003 |
A new concept of pre-semicompact L -subsets is introduced, where L is a fuzzy lattice. The pre-semicompact L -subset is semi-precompact, hence it is also semicompact and strongly compact. It is described with collection of pre-semiclosed L -subset, constant α -net and α -level filter base. It is a good L -extension; it is hereditary for pre-semiclosed L -subset; it is finitely additive; it is invariant under ζ ' -continuous mapping as well as under pre-semi-irresolute mapping. Every set with finite support is pre-semicompact.