대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제24권3호
  • /
  • Pages.353-360
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  • 2009
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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FUZZY TRANSLATIONS AND FUZZY MULTIPLICATIONS OF BCK/BCI-ALGEBRAS

  • Lee, Kyoung-Ja (DEPARTMENT OF MATHEMATICS EDUCATION HANNAM UNIVERSITY) ;
  • Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATION (AND RINS) GYEONGSANG NATIONAL UNIVERSITY) ;
  • Doh, Myung-Im (DEPARTMENT OF MATHEMATICS GYEONGSANG NATIONAL UNIVERSITY)
  • 발행 : 2009.07.31
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초록

Fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications of fuzzy subalgebras in BCK/BCI-algebras are discussed. Relations among fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications are investigated.

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참고문헌

  1. Y. Huang, BCI-algebra, Science Press, Beijing, 2006
  2. Y. B. Jun and J. Meng, Fuzzy commutative ideals in BCI-algebras, Commun. Korean Math. Soc. 9 (1994), no. 1, 19–25
  3. Y. B. Jun and S. Z. Song, Fuzzy set theort applied to implicative ideals in BCK-algebras, Bull. Korean Math. Soc. 43 (2006), no. 3, 461–470 https://doi.org/10.4134/BKMS.2006.43.3.461
  4. Y. B. Jun and X. L. Xin, Involutory and invertible fuzzy BCK-algebras, Fuzzy Sets and Systems 117 (2004), 463–469 https://doi.org/10.1016/S0165-0114(98)00406-0
  5. J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa Co. Seoul, 1994
  6. J. Meng, Y. B. Jun, and H. S. Kim, Fuzzy implicative ideals of BCK-algebras, Fuzzy Sets and Systems 89 (1997), 243–248 https://doi.org/10.1016/S0165-0114(96)00096-6

피인용 문헌

  1. Fuzzy translations and fuzzy multiplications of interval-valued doubt fuzzy ideals ofBF-algebras vol.37, pp.1, 2016, https://doi.org/10.1080/02522667.2015.1086117
  2. Novel Concepts of Bipolar Fuzzy BCK-Submodules vol.2017, 2017, https://doi.org/10.1155/2017/2084191
  3. On Bipolar Anti Fuzzy h -ideals in Hemi-rings vol.9, pp.1, 2017, https://doi.org/10.1016/j.fiae.2017.03.001
  4. Anti fuzzy filters of $$CI$$ C I -algebras vol.25, pp.4, 2014, https://doi.org/10.1007/s13370-013-0183-1
  5. Soft Translations and Soft Extensions of BCI/BCK-Algebras vol.2014, 2014, https://doi.org/10.1155/2014/536709
  6. A SOFT TRANSFER AND SOFT ALGEBRAIC EXTENSION OF INT-SOFT SUBALGEBRAS AND IDEALS IN BCK/BCI-ALGEBRAS vol.30, pp.4, 2015, https://doi.org/10.4134/CKMS.2015.30.4.339