m-半格的粗糙模糊理想

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英文篇名：Rough Fuzzy Ideals of m-Semilattices 作者：周欣 ; 赵彬 英文作者：ZHOU Xin;ZHAO Bin;College of Mathematics and Information Science,Shaanxi Normal University; 关键词：m-半格 ; 上(下)粗糙模糊近似算子 ; (模糊)理想 ; 粗糙模糊(素)理想 英文关键词：m-semilattice;;upper(lower)rough fuzzy approximation operator;;(fuzzy)ideal;;rough fuzzy(prime)ideal 中文刊名：JLDX 英文刊名：Journal of Jilin University(Science Edition) 机构：陕西师范大学数学与信息科学学院; 出版日期：2015-05-26 出版单位：吉林大学学报(理学版) 年：2015 期：v.53;No.213 基金：国家自然科学基金(批准号:11171196;11301316);; 中央高校基本科研业务费专项基金(批准号:GK201302003;GK201501001) 语种：中文; 页：JLDX201503016 页数：10 CN：03 ISSN：22-1340/O 分类号：83-92

摘要

应用粗糙集理论给出m-半格上由模糊(素)理想诱导的同余及关于这种同余上(下)粗糙模糊近似算子的性质.通过引入m-半格粗糙模糊(素)理想的概念,讨论了m-半格上粗糙模糊(素)理想与模糊(素)理想的关系及粗糙模糊(素)理想与(素)理想的关系.
        Using rough set theory,we proposed the congruences induced by fuzzy(prime)ideals of an m-semilattice and studied the properties of the upper(lower)rough fuzzy approximation operators with respect to these congruences.Then we introduced the notions of rough fuzzy(prime)ideals of m-semilattices,and established the relationships between rough fuzzy(prime)ideals and fuzzy(prime)ideals and the relationships between rough fuzzy(prime)ideals and(prime)ideals of m-semilattices.

引文

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