Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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FUZZY SUBALGEBRAS WITH THRESHOLDS IN BCK/BCI-ALGEBRAS

  • Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATIONb (AND RINS) GYEONGSANG NATIONAL UNIVERSITY)
  • Published : 2007.04.30
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Abstract

Using the belongs to relation ($\in$) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of ($\alpha,\;\beta$)-fuzzy subalgebras where $\alpha,\;\beta$ are any two of $\{{\in},\;q,\;{\in}\;{\vee}\;q,\;{\in}\;{\wedge}\;q\}$ with ${\alpha}\;{\neq}\;{\in}\;{\wedge}\;q$ was introduced, and related properties were investigated in [3]. As a continuation of the paper [3], in this paper, the notion of a fuzzy subalgebra with thresholds is introduced, and its characterizations are obtained. Relations between a fuzzy subalgebra with thresholds and an (${\in},\;{\in}\;{\vee}\;q$)-fuzzy subalgebra are provided.

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References

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Cited by

  1. Soft ideals of BCK/BCI-algebras based on fuzzy set theory vol.88, pp.12, 2011, https://doi.org/10.1080/00207160.2011.556192
  2. Interval-valued -fuzzy K-algebras vol.11, pp.1, 2011, https://doi.org/10.1016/j.asoc.2010.02.020
  3. Soft set theory applied to p-ideals of BCI-algebras related to fuzzy points vol.20, pp.8, 2011, https://doi.org/10.1007/s00521-010-0460-y