Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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FUZZY Ζ-IDEALS IN IS-ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education Gyeongsang National University) ;
  • Ahn, Sung-Shin (Department of Mathematics Education Dongguk University) ;
  • Kim, Hee-Sik (Department of Mathematics Hanyang University)
  • Published : 2000.09.01
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Abstract

In [9], the concept of fuzzy sets is applied to the theory of Ζ-ideals in a BCI-semigroup (it was renamed as an IS-algebra for the convenience of study), and a characterization of fuzzy Ζ-ideals by their level Ζ-ideals was discussed. In this paper, we study further properties of fuzzy Ζ-ideals. We prove that the homomorphic image and preimage of a fuzzy Ζ-ideal are also fuzzy Ζ-ideals.

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References

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