Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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FALLING FUZZY BCI-COMMUTATIVE IDEALS

  • Jun, Young Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Song, Seok-Zun (Department of Mathematics, Jeju National University)
  • Received : 2014.06.02
  • Accepted : 2014.07.22
  • Published : 2014.09.25
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Abstract

On the basis of the theory of a falling shadow and fuzzy sets, the notion of a falling fuzzy BCI-commutative ideal of a BCI-algebra is introduced. Relations between falling fuzzy BCI-commutative ideals and falling fuzzy ideals are given. Relations between fuzzy BCI-commutative ideals and falling fuzzy BCI-commutative ideals are provided. Characterizations of a falling fuzzy BCI-commutative ideal are established, and conditions for a falling fuzzy (closed) ideal to be a falling fuzzy BCI-commutative ideal are considered.

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References

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