A new notion of SP-compact L-fuzzy sets

Shi-Zhong Bai


A new notion of SP-compactness is introduced in L-topological spaces by means of semi-preopen L-sets and their inequality, where L is a complete De Morgan algebra. This new notion does not depend on the structure of basis lattice L and L does not require any distributivity. This new notion implies semicompactness, hence it also implies compactness. This new notion is a good extension and it has many characterizations if L is completely distributive De Morgan algebra.

Palabras clave

L-topology; semi-preopen L-set; SP-compactness; L-topología; L-conjunto semi-preabierto; SP-compacidad.


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DOI: http://dx.doi.org/10.4067/S0716-09172006000300003

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