Pre-semicompact L-subsets in Fuzzy Lattices

10.30000/IJFS.201003.0006

Shi-Zhong Bai

Fuzzy lattice ； Pre-semiopen set ； Constant α-net ； α-level filter base ； Pre-semicompact L-subset

International Journal of Fuzzy Systems

12卷1期（2010 / 03 / 01）

59 - 65

英文

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.