A new approach to almost fuzzy compactness

Fu-Gui Shi


A new definition of almost fuzzy compactness is introduced in Ltopological spaces by means of open L-sets and their inequality when L is a complete DeMorgan algebra. It can also be characterized by closed L-sets, regularly closed L-sets, regularly open L-sets and their inequalities. When L is a completely distributive DeMorgan algebra, its many characterizations are presented.

Palabras clave

L-topology ; Fuzzy compactness ; Almost fuzzy compactness ; Almost continuous ; Weakly continuous.

Texto completo:



K.K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl. 82, pp. 14—32, (1981).

A. Bülbül and M.W. Warner, Some good dilutions of fuzzy compactness, Fuzzy Sets and Systems 51, pp. 111—115, (1992).

S.L. Chen, Almost F-compactness in L-fuzzy topological spaces, J. Northeastern Math. 7, pp. 4428—4432, (1991).

A.D. Concilio and G. Gerla, Almost compactness in fuzzy topological spaces, Fuzzy Sets and Systems 13, pp. 187—192, (1984).

P. Dwinger, Characterizations of the complete homomorphic images of a completely distributive complete lattice I, Indagationes Mathematicae (Proceedings) 85, pp. 403—414, (1982).

A.Haydar Es, Almost compactness and near compactness in fuzzy topological spaces, Fuzzy Sets and Systems 22, pp. 289—295, (1987).

G. Gierz, et al., A compendium of continuous lattices, Springer Verlag, Berlin, (1980).

B. Hutton, I. Reilly, Separation axioms in fuzzy topological spaces, Fuzzy Sets and Systems 3, pp. 93—104, (1980).

C. Kaur, A. Sharfuddin, On almost compactness in the fuzzy setting, Fuzzy Sets and Systems 125, pp. 163—165, (2002).

S.R.T. Kudri and M.W. Warner, Some good L-fuzzy compactness related concepts and their properties I, Fuzzy Sets and Systems 76, pp. 141—155, (1995).

Y.M. Liu and M.K. Luo, Fuzzy topology, Singapore: World Scientific, (1997).

R. Lowen, Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 56, pp. 621—633, (1976). [13] R. Lowen, A comparision of different compactness notions in fuzzy topological spaces, J. Math. Anal. Appl. 64, pp. 446—454, (1978).

DOI: http://dx.doi.org/10.4067/S0716-09172009000100007

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