Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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QUASI-ASSOCIATIVE IDEALS IN BCI-ALGEBRAS BASED ON BIPOLAR-VALUED FUZZY SETS

  • Jun, Young-Bae (Department of Mathematics Education (and RINS) Gyeongsang National University) ;
  • Kim, Seon-Yu (Department of Mathematics Education Chinju National University of Education) ;
  • Roh, Eun-Hwan (Department of Mathematics Education Chinju National University of Education)
  • Received : 2008.12.24
  • Published : 2009.03.25
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Abstract

After the introduction of fuzzy sets by Zadeh, there have been a number of generaizations of this fundamental concept. The notion of bipolar-valued fuzzy sets introduced by Lee is one among them. In this paper, we apply the concept of a bipolar-valued fuzzy set to quasi-associative ideals in BCI-algebras. The notion of a bipolar fuzzy quasi-associative ideal of a BCI-algebra is introduced, and some related properties are investigated. Characterizations of a bipolar fuzzy quasi-associative ideal are given. Extension property for a bipolar fuzzy QA-ideal is established.

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References

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