Pre-semicompact L-subsets in fuzzy lattices
نویسنده
چکیده
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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