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格蕴涵代数的Ω-模糊LI-理想

傅小波

计算机工程与应用2017,Vol.53Issue(22):50-54,5.
计算机工程与应用2017,Vol.53Issue(22):50-54,5.DOI:10.3778/j.issn.1002-8331.1607-0255

格蕴涵代数的Ω-模糊LI-理想

Ω-Fuzzy LI-ideals in lattice implication algebras

傅小波1

作者信息

  • 1. 无锡职业技术学院,江苏 无锡 214121
  • 折叠

摘要

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.

关键词

格蕴涵代数/Ω-模糊集/Ω-模糊LI-理想

Key words

lattice implication algebra/Ω-fuzzy sets/Ω-fuzzy LI-ideals

分类

数理科学

引用本文复制引用

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):50-54,5.

基金项目

国家自然科学基金(No.61502204). (No.61502204)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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