On fuzzy weakly Baire spaces


  • Ganesan Thangaraj
  • Raja Palani


In this paper, the concepts of fuzzy -boundary set, fuzzy co-
-boundary set, in fuzzy topological spaces are introduced and studied. By means of fuzzy -boundary sets, the concept of fuzzy weakly Baire space is dened and several characterizations of fuzzy weakly Baire spaces are studied.


[1] K. K. Azad. On fuzzy semi-continuity, fuzzy almost continuity and fuzzy weakly continuity. J. Math. Anal. Appl., 82(1)(1981), 14-32.

[2] R. L. Baire. Sur les fonctions de variables reelles. Annali de Matematics, Serie 3, 3(1899), 1-123.

[3] G. Balasubramanian. Maximal fuzzy topologies. Kybernetika, 31(5)(1995), 459-464.

[4] G. Balasubramanian. On fuzzy pre-separation axioms. Bull. Cal. Math. Soc., 90(6)(1998), 427-434.

[5] C. L. Chang. Fuzzy topological spaces. J. Math. Anal. Appl., 24(1)(1968), 182-190.

[6] A. Denjoy. Memoire sur les nombres derives des fonctions continues. J. M. P. A., 7 (1) (1915), 105-240.

[7] R. C. Haworth and R. A. McCoy. Baire spaces. Dissertationes Mathematicae 141 (1977), 1-77.

[8] J. Martinez and W. W. McGovern. When the maximum ring of quotients of C(X) is uniformly complete. Topol. Appl., 116(2)(2001), 185-198.

[9] P. M. Pu and Y.M Liu. Fuzzy topology - I: Neighborhood structure of a fuzzy point and Moore - Smith convergence. J. Math. Anal. Appl., 76(2)(1980), 571-599.

[10] G. Thangaraj and G. Balasubramanian. On fuzzy basically disconnected spaces. J. Fuzzy Math., 9(1)(2001), 103-110.

[11] G. Thangaraj and G. Balasubramanian. On fuzzy resolvable and fuzzy irresolvable spaces. Fuzzy sets, Rough sets and Multivalued Oper. Appl., 1(2)(2009), 173-180.

[12] G. Thangaraj and G. Balasubramanian. On somewhat fuzzy continuous functions. J. Fuzzy Math., 11(2)(2003), 725-736.

[13] G. Thangaraj and S. Anjalmose. On fuzzy Baire spaces. J. Fuzzy Math., 21(3)(2013), 667-676.

[14] G. Thangaraj and E. Poongothai. On fuzzy -Baire space. Inter. J. Fuzzy Math. Sys., 3(4)(2013), 275-283.

[15] L. A. Zadeh. Fuzzy sets. Inform. and Control., 8(1965), 338-353.