호남수학학술지 (Honam Mathematical Journal)

  • 제30권1호
  • /
  • Pages.65-74
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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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VAGUE QUICK IDEALS OF BCK/BCI-ALGEBRAS

  • Ahn, Sun-Shin (Department of Mathematics Education, Dongguk University) ;
  • Cho, Yong-Uk (Department of Mathematics Education, Silla University) ;
  • Park, Chul-Hwan (Department of Mathematics, University of Ulsan)
  • 투고 : 2007.10.11
  • 심사 : 2008.01.04
  • 발행 : 2008.03.25
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초록

The notion of vague quick ideals of BCK/BCI-algebras is introduced, and several properties are investigated. Relations between a vague ideal, a vague BCK/BCI-algebra and a vague quick ideal are provided. A condition for a vague quick ideal to be a vague ideal is given.

키워드

참고문헌

  1. K. J. Lee, K. S. So and K. S. Bang, Vague BCK/BCI-algebras, Internat. J. Comput. Cognition (submitted).
  2. R. Biswas, Vague groups, Internat. J. Comput. Cognition 4 (2006), no. 2, 20-23.
  3. W. L. Gau and D. J. Buehrer, Vague sets, IEEE Transactions on Systems, Man and Cybernetics 23 (1993), 610-614. https://doi.org/10.1109/21.229476
  4. Y. Huang, BCI-algebra, Science Press, Beijing, 2006.
  5. Y. B. Jun and C. H. Park, Vague ideals of subtraction algebras, Int. Math. Forum (to appear)
  6. C. R. Lim and H. S. Kim, Rough ideals in BCK/BCI-algebras, Bull. Pol. Acad. Sci. Math. 51 (2003), no. 1, 59-67.
  7. J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa Co. Korea, 1994.
  8. C. H. Park, Vague deductive systems of subtraction algebras, J. Appl. Math. Comput. (to appear)
  9. L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X

피인용 문헌

  1. VAGUE p-IDEALS AND VAGUE a-IDEALS IN BCI-ALGEBRAS vol.26, pp.3, 2013, https://doi.org/10.14403/jcms.2013.26.3.453
  2. VAGUE q-IDEALS IN BCI-ALGEBRAS vol.34, pp.4, 2012, https://doi.org/10.5831/HMJ.2012.34.4.549
  3. ON n-FOLD IMPLICATIVE VAGUE FILTERS IN BE-ALGEBRAS vol.19, pp.2, 2012, https://doi.org/10.7468/jksmeb.2012.19.2.127
  4. MIGHTY FILTERS IN BE-ALGEBRAS vol.37, pp.2, 2015, https://doi.org/10.5831/HMJ.2015.37.2.221
  5. IMPLICATIVE VAGUE IDEALS IN BCK-ALGEBRAS vol.34, pp.2, 2012, https://doi.org/10.5831/HMJ.2012.34.2.171
  6. ON VAGUE FILTERS IN BE-ALGEBRAS vol.26, pp.3, 2011, https://doi.org/10.4134/CKMS.2011.26.3.417