EQ-代数上的(α,β]-模糊前滤子  

The(α,β]-fuzzy Prefilters of EQ-algebra

作　　者：左卫兵 刘梦柯 ZUO Weibing;LIU Mengke(College of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《河南教育学院学报（自然科学版）》2022年第2期1-8,共8页Journal of Henan Institute of Education(Natural Science Edition)

摘　　要：提出了EQ-代数上α,β-模糊前滤子的概念,并进一步定义了α,β-模糊正蕴涵前滤子、α,β-模糊蕴涵前滤子,研究了这些广义模糊前滤子的相关性质以及它们的等价刻画,讨论了三者之间的关系,丰富了EQ-代数上的模糊滤子理论。Proposed the concept of(α,β]-fuzzy prefilter,and further defines(α,β]-fuzzy positive implicative prefilter,(α,β]-fuzzy implicative prefilter,the related properties were researched,as well as the equivalent description of these generalized fuzzy prefilters.The relationship between the three was discussed,which enriches the fuzzy filter theory on EQ-algebra.

关 键 词：EQ-代数 模糊前滤子 α β-模糊前滤子 α β-模糊正蕴涵前滤子 α β-模糊蕴涵前滤子 

分 类 号：O159[理学—数学]