Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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FUZZY IDEALS OF PSEUDO BCI-ALGEBRAS

  • 발행 : 2009.05.31
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초록

The concepts of fuzzy pseudo ideals (resp. fuzzy pseudo p-ideals, associative fuzzy pseudo ideals, fuzzy pseudo q-ideals and fuzzy pseudo a-ideals) in a pseudo BCI-algebra are introduced, and related properties are investigated. Conditions for a fuzzy pseudo ideal to be a fuzzy pseudo p-ideal (resp. fuzzy pseudo q-ideal) are provided. A characterization and properties of an associative fuzzy pseudo ideal are given.

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참고문헌

  1. S. S. Ahn, Y. B. Jun, H. S. Kim and M. Kondo, Fuzzifications of pseudo-BCI ideals, Sci. Math. Japon. Online 10 (2004), 13–17.
  2. W. A. Dudek and Y. B. Jun, Pseudo BCI-algebras, East Asian Math. J. (to appear).
  3. G. Georgescu and A. Iorgulescu, Pseudo-BCK algebras: an extension of BCK algebras, Combinatorics, computability and logic (Constant¸a, 2001), 97–114, Springer Ser. Discrete Math. Theor. Comput. Sci. Springer, London, 2001.
  4. Y. B. Jun, Characterizations of pseudo-BCK algebras, Sci. Math. Jpn. 57 (2003), no. 2, 265–270.
  5. Y. B. Jun, H. S. Kim and J. Neggers, On pseudo-BCI ideals of pseudo BCI-algebras, Mat. Vesnik, 58 (2006), 39–46.
  6. Y. B. Jun, M. Kondo and K. H. Kim, Pseudo-ideals of pseudo-BCK algebras, Sci. Math. Jpn. 58 (2003), no. 1, 93–97.
  7. K. J. Lee and C. H. Park, Some ideals of pseudo BCI-algebras, J. Appl. Math. & Informatics 27 (2009), no. 1-2, 217–231.
  8. Y. L. Liu, S. Y. Liu and Y. Xu, Pseudo-BCK algebras and PD-posets, Soft Comput. 11 (2007), 91–101. https://doi.org/10.1007/s00500-006-0055-9
  9. Y. L. Liu, J. Meng, X. H. Zhang and Z. C. Yue, q-ideals and a-ideals in BCI-algebras, Southeast Asian Bull. Math. 24 (2000), 243–253. https://doi.org/10.1007/s10012-000-0243-y
  10. X. H. Zhang, H. Jiang and S. A. Bhatti, On p-ideals of a BCI-algebra, Punjab Univ. J. Math. 27 (1994), 121–128.