• 제목/요약/키워드: falling fuzzy ideal

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FALLING FUZZY BCI-COMMUTATIVE IDEALS

  • Jun, Young Bae;Song, Seok-Zun
    • 호남수학학술지
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    • 제36권3호
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    • pp.555-568
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    • 2014
  • 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.

FALLING SUBALGEBRAS AND IDEALS IN BH-ALGEBRAS

  • Kim, Eun-Mi;Ahn, Sun-Shin
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권3호
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    • pp.251-262
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    • 2012
  • Based on the theory of a falling shadow which was first formulated by Wang([14]), a theoretical approach of the ideal structure in BH-algebras is established. The notions of a falling subalgebra, a falling ideal, a falling strong ideal, a falling $n$-fold strong ideal and a falling translation ideal of a BH-algebra are introduced. Some fundamental properties are investigated. Relations among a falling subalgebra, a falling ideal and a falling strong ideal, a falling $n$-fold strong ideal are stated. A relation between a fuzzy subalgebra/ideal and a falling subalgebra/ideal is provided.