R₀-代数的几类反犹豫模糊滤子  

Several Types of Anti-Hesitation Fuzzy Filters for R0-Algebras

作　　者：郑苗苗 

机构地区：[1]兰州理工大学理学院,甘肃 兰州

出　　处：《理论数学》2022年第5期795-802,共8页Pure Mathematics

摘　　要：本文的创新点是提出了R0-代数的几类反犹豫模糊滤子,主要将犹豫模糊集理论应用在R0-代数上,首先介绍了反犹豫模糊MP滤子、反犹豫模糊素MP滤子以及反犹豫模糊蕴含滤子的基本概念,其次讨论了R0-代数上这几类反犹豫模糊滤子的性质,最后证明了R0-代数的几类反犹豫模糊滤子的等价刻画。The innovation of this paper is to propose several classes of anti-hesitation fuzzy filters of R0-algebra. The hesitation fuzzy set theory is mainly applied to R0-algebra. First, the basic concepts of the filter anti-hesitation fuzzy MP filters, anti-hesitation fuzzy prime MP filters and anti-hesitation fuzzy implication filters are introduced. Secondly, the properties of these types of anti-hesitation fuzzy filters on R0-algebra are discussed, and finally, we prove the equivalent characterization of several classes of anti-hesitation fuzzy filters of R0-algebra.

关 键 词：犹豫模糊集 R₀-代数 反犹豫模糊MP滤子 反犹豫模糊素MP滤子 反犹豫蕴含滤子 

分 类 号：O159[理学—数学]