International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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On Fuzzy Irresolute Functions

  • Ekici, Erdal (Department of Mathematics, Canakkale Onsekiz Mart University) ;
  • Park, Jin-Han (Division of Mathematical Sciences, Pukyong National University)
  • Published : 2005.06.01
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Abstract

As a generalization of the notions of fuzzy $\alpha-irresolute$, fuzzy preirresolute, fuzzy irresolute and fuzzy $\beta-irresolute$ functions, we introduce the notion of fuzzy $\beta\alpha-continuous$ functions and investigate the relationships between fuzzy $\beta\alpha-continuous$ functions and fuzzy separation axioms.

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References

  1. K.K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl., 82(1981), 14-32 https://doi.org/10.1016/0022-247X(81)90222-5
  2. M. Caldas, G. Navalagi and R. Saraf, On fuzzy weakly semiopen functions, Proyecciones Revista de Matematica, 21 (2002), 51-63
  3. C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190 https://doi.org/10.1016/0022-247X(68)90057-7
  4. I.M. Hanafy, A class of strong forms of fuzzy complete continuity, Fuzzy Sets and Systems, 90 (1997), 349-353 https://doi.org/10.1016/S0165-0114(96)00109-1
  5. A.S. Mashhour, M. H. Ghanim and M. A. F. Alla, On fuzzy non-continuous mappings, Bull. Cal. Math. Soc., 78 (1986), 57-69
  6. M.N. Mukherjee and S.P. Sinha, On weaker forms of fuzzy continuous and fuzzy open mappings on fuzzy topological spaces, Fuzzy Sets and Systems, 32 (1989), 103-114 https://doi.org/10.1016/0165-0114(89)90091-2
  7. P. Pao-Ming and L. Ying-Ming, Fuzzy Topology I. Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl., 76 (1980), 571-599 https://doi.org/10.1016/0022-247X(80)90048-7
  8. J.H. Park and B.H. Park, Fuzzy preirresolute mappings, Pusan-Kyongnam Math. J., 10 (1995), 303-312
  9. K.S. Raja Sethupathy and S. Laksmivarahan, Connectedness in fuzzy topology, Kybernetika, 13 (3) (1977), 190-193
  10. A.S. B. Shahna, On fuzzy strongly semi- continuity and precontinuity, Fuzzy Sets and Systems, 44 (1991), 303-308 https://doi.org/10.1016/0165-0114(91)90013-G
  11. S.S. Thakur and R.K. Saraf, $\alpha$ -compact fuzzy topological space, Mathematica Bohemica, 120 (3) (1995), 299-303
  12. S.S. Thakur and S. Singh, Fuzzy semi-preopen sets and fuzzy semi-precontinuity, Fuzzy Sets and Systems, 98 (1998), 383-391 https://doi.org/10.1016/S0165-0114(96)00363-6

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