兰州理工大学学报

兰州理工大学学报 ›› 2024, Vol. 50 ›› Issue (2): 148-152.

• 数理科学 • 上一篇    下一篇

Γ-半群的L-反模糊理想

田振际*, 柴媛   

  1. 兰州理工大学 理学院, 甘肃 兰州 730050
  • 收稿日期:2022-06-29 出版日期:2024-04-28 发布日期:2024-04-29
  • 通讯作者: 田振际(1964-),男,甘肃会宁人,博士,教授.Email:zjtian@lut.edu.cn
  • 基金资助:
    国家自然科学基金(11261030)

L-anti fuzzy ideals of Γ-semigroups

TIAN Zhen-ji, CHAI Yuan   

  1. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2022-06-29 Online:2024-04-28 Published:2024-04-29

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摘要： 给出了L-反模糊子半群和L-反模糊Γ-子半群的定义, 并研究了Γ-半群的L-反模糊理想的基本性质. 进一步得到Γ-半群的L-模糊子集是L-反模糊双Γ-理想的充分必要条件.

关键词: L-反模糊子半群, L-反模糊Γ-子半群, L-反模糊理想, L-反模糊双Γ-理想

Abstract: The definitions of L-anti fuzzy subsemigroups and L-anti fuzzy Γ-subsemigroups are given, and the basic properties of L-anti fuzzy ideals of Γ-semigroups are studied. Furthermore, the necessary and sufficient conditions for L-fuzzy subsets of Γ-semigroups to be L-anti fuzzy bi-Γ-ideals are confirmed.

Key words: L-anti fuzzy subsemigroups, L-anti fuzzy Γ-subsemigroups, L-anti fuzzy ideals, L-anti fuzzy bi-Γ-ideals

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