호남수학학술지 (Honam Mathematical Journal)

  • 제30권1호
  • /
  • Pages.119-126
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  • 2008
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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UNCANNY FILTERS OF WFI-ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education (and RINS), Gyeongsang National University) ;
  • Park, Chul-Hwan (Department of Mathematics, University of Ulsan)
  • 투고 : 2007.10.27
  • 심사 : 2008.01.04
  • 발행 : 2008.03.25
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초록

The notion of uncanny filter is introduced, and related properties are investigated. Relations between uncanny filter, closed filter, and concrete filter are given. Characterizations of uncanny filter are provided. Extension property for uncanny filter is established.

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참고문헌

  1. Y. B. Jun, Weak fuzzy implication algebras, Adv. Stud. Contemp. Math. 7 (2003), no. 1, 41-52.
  2. Y. B. Jun, Perfect and concrete filters of WFI-algebras, Bull. Korean Math. Soc. 44 (2007), no. 4, 691-699. https://doi.org/10.4134/BKMS.2007.44.4.691
  3. Y. B. Jun, Weak and concrete filters of WFI-algebras, J. Appl. Math. Comput. (submitted).
  4. Y. B. Jun, C. H. Park and E. H. Roh, Characterizations of filters and ideals on WFI-algebras, Honam Math. J. 28 (2006), no. 4, 471-484.
  5. Y. B. Jun and S. Z. Song, Simulative and mutant WFI-algebras, Honam Math. J. 28 (2006), no. 4, 559-572.
  6. Z. Li and C. Zheng, Relations between fuzzy implication algebra and MV-algebra, J. Fuzzy Math. 9 (2001), no. 1, 201-205.
  7. W. M. Wu, Fuzzy implication algebras, Fuzzy Systems Math. 4 (1990), no. 1, 56-63.