计算机工程与应用 ›› 2017, Vol. 53 ›› Issue (22): 50-54.DOI: 10.3778/j.issn.1002-8331.1607-0255
• 理论与研发 • 上一篇 下一篇
傅小波
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FU Xiaobo
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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
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
傅小波. 格蕴涵代数的[Ω-]模糊LI-理想[J]. 计算机工程与应用, 2017, 53(22): 50-54.
FU Xiaobo. Ω-Fuzzy LI-ideals in lattice implication algebras[J]. Computer Engineering and Applications, 2017, 53(22): 50-54.
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http://cea.ceaj.org/CN/Y2017/V53/I22/50