- 期刊
Pre-semicompact L-subsets in Fuzzy Lattices
並列摘要
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.
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