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http://dx.doi.org/10.5831/HMJ.2014.36.3.555

FALLING FUZZY BCI-COMMUTATIVE IDEALS  

Jun, Young Bae (Department of Mathematics Education, Gyeongsang National University)
Song, Seok-Zun (Department of Mathematics, Jeju National University)
Publication Information
Honam Mathematical Journal / v.36, no.3, 2014 , pp. 555-568 More about this Journal
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.
Keywords
falling shadow; falling fuzzy ideal; falling fuzzy closed ideal; falling fuzzy BCI-commutative ideal;
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Times Cited By KSCI : 1  (Citation Analysis)
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