대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제27권4호
  • /
  • Pages.669-687
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  • 2012
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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IMPLICATIVE FILTERS OF R0-ALGEBRAS BASED ON FUZZY POINTS

  • Jun, Young-Bae (Department of Mathematics Education (and RINS) Gyeongsang National University) ;
  • Song, Seok-Zun (Department of Mathematics Jeju National University)
  • 투고 : 2011.06.02
  • 발행 : 2012.10.31
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초록

As a generalization of the concept of a fuzzy implicative filter which is introduced by Liu and Li [3], the notion of (${\in}$, ${\in}{\vee}q_k$)-fuzzy implicative filters is introduced, and related properties are investigated. The relationship between (${\in}$, ${\in}{\vee}q_k$)-fuzzy filters and (${\in}$, ${\in}{\vee}q_k$)-fuzzy implicative filters is established. Conditions for an (${\in}$, ${\in}{\vee}q_k$)-fuzzy filter to be an (${\in}$, ${\in}{\vee}q_k$)-fuzzy implicative filter are considered. Characterizations of an (${\in}$, ${\in}{\vee}q_k$)-fuzzy implicative filter are provided, and the implication-based fuzzy implicative filters of an $R_0$-algebra is discussed.

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과제정보

연구 과제 주관 기관 : National Research Foundation of Korea (NRF)

참고문헌

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