Computer Engineering and Applications ›› 2017, Vol. 53 ›› Issue (22): 50-54.DOI: 10.3778/j.issn.1002-8331.1607-0255

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Ω-Fuzzy LI-ideals in lattice implication algebras

FU Xiaobo   

  1. Wuxi Institute of Technology, Wuxi, Jiangsu 214121, China
  • Online:2017-11-15 Published:2017-11-29



  1. 无锡职业技术学院,江苏 无锡 214121

Abstract: Let [Ω] be a set. By combining the [Ω-]fuzzy sets and the lattice implication algebras, the concepts of [Ω-]fuzzy LI-ideals in the lattice implication algebra are introduced, and some related properties are investigated. The relationship between [Ω-]fuzzy LI-ideals and fuzzy LI-ideals in the lattice implication algebras is also discussed. Some equivalent descriptions of the [Ω-]fuzzy LI-ideals in the lattice implication algebra are obtained. Finally, some basic properties of homomorphic image and homomorphic preimage of [Ω-]fuzzy LI-ideals are also studied.

Key words: lattice implication algebra, [Ω-]fuzzy sets, [Ω-]fuzzy LI-ideals

摘要: 给定一个集合[Ω],将[Ω-]模糊集与格蕴涵代数相结合,给出了[Ω-]模糊LI-理想的概念,并研究了其相关性质;讨论了[Ω-]模糊LI-理想与模糊LI-理想之间的关系,得到了一些等价刻画。研究了格蕴涵代数[Ω-]模糊LI-理想的同态像与同态原像的基本性质。

关键词: 格蕴涵代数, [&Omega, -]模糊集, [&Omega, -]模糊LI-理想