BR_0代数的犹豫模糊滤子与理想  

Hesitant fuzzy filters and hesitant fuzzy ideals of BR_0 algebras

作　　者：彭家寅[1] PENG Jiayin(School of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan 641199, China)

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641199

出　　处：《计算机工程与应用》2018年第11期62-66,90,共6页Computer Engineering and Applications

基　　金：教育部数学与应用数学专业综合改革项目(No.ZG0464);四川省科技厅重点科技项目(No.2006J13-035);四川省数学与应用数学专业综合改革项目(No.01249);四川省解析儿何精品开放课程项目;内江师范学院2012年校级精品资源共享课项目;国家自然科学基金(No.11071178);内江师范学院应用数学重点学科项目;内江师范学院卓越教师培养计划项目;四川省数学与应用数学专业卓越教师培养计划项目

摘　　要：将犹豫模糊集应用于BR_0代数的滤子和理想理论中,初步建立BR_0代数的犹豫模糊滤子与理想理论。引入了BR_0代数的犹豫模糊滤子、犹豫模糊理想和犹豫模糊素理想的概念,研究它们的基本性质,给出了BR_0代数的犹豫模糊集成为犹豫模糊滤子(犹豫模糊理想)的条件,证明了BR_0代数的犹豫模糊滤子、犹豫模糊理想和犹豫模糊素理想关于交运算具有封闭性,指出了犹豫模糊滤子、犹豫模糊理想和犹豫模糊素理想在BR_0代数同构下的不变性。A new application of a genuinely six-qubit entangled state is studied for bidirectional quantum controlled remote state preparation. In this protocol, two distant parties can simultaneously and deterministically exchange their states under a third remote parties in such a way that it cannot succeed without permission of the controller. A genuinely six-qubit entangled state as the original non-local quantum resource is priori shared among the parties. Appling the hesitant fuzzy set to the filter and ideal theory of BR0 algebras, the hesitant fuzzy filter and hesitant fuzzy ideal theory of BR0 algebras are preliminary established. The concepts of hesitant fuzzy filters, hesitant fuzzy ideals and hesitant fuzzy prime ideals of BR0 algebras are introduced, and their basic properties are studied. The sufficient and necessary conditions for hesitant fuzzy sets to be hesitant fuzzy filters（hesitant fuzzy ideals）are given. It is proven that hesitant fuzzy filters, hesitant fuzzy ideals and hesitant fuzzy prime ideals are closed for intersection. Finally, it is pointed out that hesitant fuzzy filters,hesitant fuzzy ideals and hesitant fuzzy prime ideals are invariant under BR0 algebra isomorphism.

关 键 词：BR0代数 犹豫模糊滤子 犹豫模糊理想 犹豫模糊素理想 

分 类 号：O141.1[理学—数学]