计算机工程与应用2018，Vol.54Issue(11)：62-66,90,6.DOI:10.3778/j.issn.1002-8331.1703-0567
BR0代数的犹豫模糊滤子与理想
Hesitant fuzzy filters and hesitant fuzzy ideals of BR 0algebras
摘要
Abstract
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 BR 0algebras,the hesitant fuzzy filter and hesitant fuzzy ideal theory of BR 0algebras are preliminary established.The concepts of hesitant fuzzy filters,hesitant fuzzy ideals and hesitant fuzzy prime ideals of BR 0algebras 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 BR 0algebra 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Key words
BR 0algebra/hesitant fuzzy filter/hesitant fuzzy ideal/hesitant fuzzy prime ideal分类
数理科学引用本文复制引用
彭家寅..BR0代数的犹豫模糊滤子与理想[J].计算机工程与应用,2018,54(11):62-66,90,6.基金项目
教育部数学与应用数学专业综合改革项目(No.ZG0464) （No.ZG0464）
四川省科技厅重点科技项目(No.2006J13-035) （No.2006J13-035）
四川省数学与应用数学专业综合改革项目(No.01249) （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) （No.11071178）
内江师范学院应用数学重点学科项目 （）
四川省数学与应用数学专业卓越教师培养计划项目 （）
内江师范学院卓越教师培养计划项目. （）
