Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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FUZZY TOPOLOGICAL SPACES BASED ON WFI-ALGEBRAS

  • Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATION (AND RINS) GYEONGSANG NATIONAL UNIVERSITY)
  • Received : 2009.05.24
  • Published : 2010.07.31
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Abstract

The structure of fuzzy topological spaces based on WFI-algebras is considered. The notions of WFI-fuzzy topological spaces and WFI-fuzzy continuous mappings are introduced, and several properties are investigated. A relation between WFI-homomorphism and WFI-fuzzy continuous mapping is given.

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References

  1. M. Caldas, G. Navalagi, and R. Saraf, Weakly ${\theta}-closed$ functions between fuzzy topological spaces, Mat. Vesnik 54 (2002), no. 1-2, 13–20.
  2. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182–190. https://doi.org/10.1016/0022-247X(68)90057-7
  3. Y. B. Jun, Weak fuzzy implication algebras, Adv. Stud. Contemp. Math. (Kyungshang) 7 (2003), no. 1, 41–52.
  4. Y. B. Jun and M. Kondo, On transfer principle of fuzzy BCK/BCI-algebras, Sci. Math. Jpn. 59 (2004), no. 1, 35–40.
  5. Y. B. Jun, C. H. Park, and E. H. Roh, Characterizations of filters and ideals on WFIalgebras, Honam Math. J. 28 (2006), no. 4, 471–484.
  6. Y. B. Jun and S. Z. Song, Simulative and mutant WFI-algebras, Honam Math. J. 28 (2006), no. 4, 559–572.
  7. Z. Li and C. Zheng, Relations between fuzzy implication algebra and MV algebra, J. Fuzzy Math. 9 (2001), no. 1, 201–205.
  8. F. G. Lupianez, C-scattered fuzzy topological spaces, Appl. Math. Lett. 14 (2001), no. 2, 201–204. https://doi.org/10.1016/S0893-9659(00)00136-1
  9. F. G. Lupianez, Fuzzy partitions of unity, Mat. Vesnik 56 (2004), no. 1-2, 13–15.
  10. W. M. Wu, Fuzzy implication algebras, Fuzzy Systems Math. 4 (1990), no. 1, 56–63.
  11. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X