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Positive implicative vague ideals in BCK-algebras

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The notion of positive implicative vague ideals in BCKalgebras is introduced. A relation between a vague ideal and a positive implicative vague ideal is discussed. Characterizations of a positive implicative vague ideal are considered.

Abstract

The notion of positive implicative vague ideals in BCKalgebras is introduced. A relation between a vague ideal and a positive implicative vague ideal is discussed. Characterizations of a positive implicative vague ideal are considered.

참고문헌 (10)

  1. Sun Shin Ahn, "Vague Quick Ideals of BCK", BCI-Algebras, 2008, pp.30(1), 65~74[DOI]
  2. R. Biswas, "Vague groups", Internat. J. Comput. Cognition, 4, pp.20~23 (2006)
  3. W. L. Gau, "Vague sets", IEEE Transactions on Systems, Man and Cyber- netics, 23, pp.610~614 (1993)
  4. Y. Huang, "BCI-algebra" (2006), Science Press
  5. Y. B. Jun, "Vague ideals of subtraction algebras", Int. Math. Forum, 2, pp.2919~2926 (2007)
  6. 이경자, "Vague set theory based on d-algebras", Journal of Applied Mathematics and Informatics, 26(5), pp.1221~1232 (2008), 한국전산응용수학회
  7. 이경자, "Vague BCK", BCI-algebras, 2008, pp.15(3), 297~308[DOI]
  8. J. Meng, "BCK-algebras" (1994), Kyungmoon Sa Co
  9. Chul Hwan Park, "Vague deductive systems of subtraction algebras", Journal of Applied Mathematics and Informatics, 26(1-2), pp.427~436 (2008), 한국전산응용수학회
  10. L. A. Zadeh, "Fuzzy sets", Inform. Control, 8, pp.338~353 (1965)

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