彭 家 寅. 拟BCK代数的双枝值模糊理想[J]. 内江师范学院学报, 2015, (8): 1-10. DOI:10.13603/j.cnki.51-1621/z.2015.08.001
引用本文: 彭 家 寅. 拟BCK代数的双枝值模糊理想[J]. 内江师范学院学报, 2015, (8): 1-10.DOI:10.13603/j.cnki.51-1621/z.2015.08.001
PENG Jia-yin. Bipolar-valued Fuzzy Ideals of Pseudo-BCK Algebras[J]. Journal of Neijiang Normal University, 2015, (8): 1-10. DOI:10.13603/j.cnki.51-1621/z.2015.08.001
Citation: PENG Jia-yin. Bipolar-valued Fuzzy Ideals of Pseudo-BCK Algebras[J].Journal of Neijiang Normal University, 2015, (8): 1-10.DOI:10.13603/j.cnki.51-1621/z.2015.08.001

拟BCK代数的双枝值模糊理想

Bipolar-valued Fuzzy Ideals of Pseudo-BCK Algebras

  • 摘要:研究了拟BCK代数的双枝值模糊理想的特征,讨论了拟BCK代数的双枝值模糊子集成为双枝值理想的条件. 对于给定拟BCK代数的一个双枝值模糊子集B, 建立了包含B的最小双枝值模糊理想. 最后,给出了拟BCK代数的一个双枝值模糊理想的同态性质.

    Abstract:Characterizations of bipolar-valued fuzzy ideals of pseduo-BCK algebras are investigated, Conditions for a bipolar-valued fuzzy subset of pseduo-BCK algebras to be a bipolar-valued fuzzy ideal of pseduo-BCK algebras are discussed. Given a bipolar-valued fuzzy subset B of a pseduo-BCK algebra, the least bipolar-valued fuzzy ideal containing B is established. Finally, the homomorphic properties of bipolar-valued fuzzy ideals of a pseudo-BCK algebra are given.

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