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A new approach to almost fuzzy compactness

  • Shi, Fu-Gui [1]
    1. [1] Beijing Institute of Technology

      Beijing Institute of Technology

      China

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 28, Nº. 1, 2009, págs. 75-87
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172009000100007
  • Enlaces
  • Resumen
    • 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.

  • Referencias bibliográficas
    • Citas [1] K.K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl. 82, pp. 14—32, (1981).
    • [2] A. Bülbül and M.W. Warner, Some good dilutions of fuzzy compactness, Fuzzy Sets and Systems 51, pp. 111—115, (1992).
    • [3] S.L. Chen, Almost F-compactness in L-fuzzy topological spaces, J. Northeastern Math. 7, pp. 4428—4432, (1991).
    • [4] A.D. Concilio and G. Gerla, Almost compactness in fuzzy topological spaces, Fuzzy Sets and Systems 13, pp. 187—192, (1984).
    • [5] P. Dwinger, Characterizations of the complete homomorphic images of a completely distributive complete lattice I, Indagationes Mathematicae...
    • [6] A.Haydar Es, Almost compactness and near compactness in fuzzy topological spaces, Fuzzy Sets and Systems 22, pp. 289—295, (1987).
    • [7] G. Gierz, et al., A compendium of continuous lattices, Springer Verlag, Berlin, (1980).
    • [8] B. Hutton, I. Reilly, Separation axioms in fuzzy topological spaces, Fuzzy Sets and Systems 3, pp. 93—104, (1980).
    • [9] C. Kaur, A. Sharfuddin, On almost compactness in the fuzzy setting, Fuzzy Sets and Systems 125, pp. 163—165, (2002).
    • [10] 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,...
    • [11] Y.M. Liu and M.K. Luo, Fuzzy topology, Singapore: World Scientific, (1997).
    • [12] R. Lowen, Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 56, pp. 621—633, (1976). [13] R. Lowen, A comparision...

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