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Generalized (∈, ∈ ∨ q)-fuzzy Ideals in BCK-algebras 被引量:1

Generalized (∈, ∈ ∨ q)-fuzzy Ideals in BCK-algebras
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摘要 In this paper, as a generalization of the notion of(∈, ∈∨ q)-fuzzy ideals, we introduced the notion of(∈, ∈∨ qδ)-fuzzy ideals and investigated their properties in BCKalgebras. Several equivalent characterizations of(∈, ∈∨ qδ)-fuzzy ideals are obtained and relations between(∈, ∈∨ qδ)-fuzzy ideals and ideals are discussed in BCK-algebras. In this paper, as a generalization of the notion of(∈, ∈ ∨ q)-fuzzy ideals, we introduced the notion of(∈, ∈ ∨ qδ)-fuzzy ideals and investigated their properties in BCKalgebras. Several equivalent characterizations of(∈, ∈ ∨ qδ)-fuzzy ideals are obtained and relations between(∈, ∈ ∨ qδ)-fuzzy ideals and ideals are discussed in BCK-algebras.
作者 刘春辉
出处 《Chinese Quarterly Journal of Mathematics》 2015年第3期373-380,共8页 数学季刊(英文版)
基金 Supported by the National Science Foundation of China(60774073)
关键词 BCK-ALGEBRA IDEAL FUZZY IDEAL (f(∈ qδ)-fuzzy IDEAL BCK-algebra ideal fuzzy ideal (f(∈, ∈ ∨ qδ)-fuzzy ideal
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  • 1ISEKI K. On BCI-algebras[J]. Math Sem Notes, 1980, 8: 125–130.
  • 2ISEKI K, TANAKA S. An introduction to the theory of BCK-algebras[J]. Math Japon, 1978, 23: 1–26.
  • 3MENG Jie, YOUNG Bae Jun. BCK-algebras[M]. Korea: Kyungmoon Saco, 1994.
  • 4HU Qing-ping. BCI-algebras[M]. Xi’an: Shaanxi Science and Technology Press, 1987.

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