Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Anti Fuzzy Ideals in BCK-algebras

Hong, Sung-Min;Jun, Young-Bae

  • Published : 19980600

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Abstract

Modifying Biswas' idea, in this paper, we apply the idea to BCK-algebras. We introduce the notion of anti fuzzy ideals of BCK-algebras, lower level cuts of a fuzzy set, lower level ideal, and prove some results on these. We show that a fuzzy subset of a BCK-algebra is a fuzzy ideal if and only if the complement of this fuzzy subset is an anti fuzzy ideal. We also fuzzify lower level cuts and prove that if a fuzzy subset is an anti fuzzy ideal then so is the fuzzifications of its lower level cuts.

Keywords

References

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