호남수학학술지 (Honam Mathematical Journal)

  • 제42권2호
  • /
  • Pages.197-211
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  • 2020
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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HYPER PERMEABLE VALUES AND ENERGETIC SETS IN BCK/BCI-ALGEBRAS

  • Jun, Young Bae (Mathematics Education, Gyeongsang National University) ;
  • Kim, Seon Jeong (Department of Mathematics, Gyeongsang National University) ;
  • Song, Seok-Zun (Department of Mathematics, Jeju National University)
  • 투고 : 2019.01.08
  • 심사 : 2019.04.10
  • 발행 : 2020.06.25
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초록

The notions of hyper permeable subalgebraic value and hyper permeable idealistic value are introduced, and related properties are investigated. Given a pair of two numbers in a unit interval, conditions for the pair to be hyper permeable subalgebraic value and hyper permeable idealistic value are discussed. Given hyperfuzzy structures, conditions for their level sets to be subalgebraic energetic, idealistic energetic, right stable and right vanished are considered. Relations between hyper permeable subalgebraic value and hyper permeable idealistic value are studied.

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참고문헌

  1. J. Ghosh and T. K. Samanta, Hyperfuzzy sets and hyperfuzzy group, Int. J. Advanced Sci Tech. 41 (2012), 27-37.
  2. Y. S. Huang, BCI-algebra, Science Press, Beijing, 2006.
  3. Y. B. Jun, S. S. Ahn and E. H. Roh, Energetic subsets and permeable values with applications in BCK=BCI-algebras, Appl. Math. Sci. 7 (2013), 4425-4438.
  4. Y. B. Jun, K. Hur and K. J. Lee, Hyperfuzzy subalgebras of BCK/BCI-algebras, Ann. Fuzzy Math. Inform. 15 (2018), 17-28. https://doi.org/10.30948/afmi.2018.15.1.17
  5. J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa Co., Seoul, 1994.
  6. S. Z. Song, S. J. Kim and Y. B. Jun, Hyperfuzzy ideals in BCK/BCI-algebras, Mathematics 5(2017), doi:10.3390/math5040081.