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格蕴涵代数的粗糙滤子
  • ISSN号：1001-7402
  • 期刊名称：模糊系统与数学
  • 时间：0
  • 页码：-
  • 分类：O153[理学—数学;理学—基础数学]
  • 作者机构：[1]西南交通大学数学学院,四川成都610031, [2]西南交通大学智能控制开发中心,四川成都610031, [3]西南交通大学数学学院,四川成都610031, 西南交通大学智能控制开发中心四川成都610031
  • 相关基金：国家自然科学基金资助项目（61175055;61100046）
  • 相关项目：基于格值逻辑的α-n(t)元归结动态自动推理研究
作者： 夏世芬|张家锋|徐扬|
关键词： 格蕴涵代数, 滤子, 蕴涵同态, 粗糙集代数, 粗糙滤子, Lattice Implication Algebra, Filter, Implication Homomorphism, Rough Set Algebra, RoughFilter
中文摘要：

将粗糙集理论应用于格蕴涵代数,证明了由格蕴涵代数的滤子能诱导一个粗糙集代数,而且由格蕴涵代数的滤子诱导的等价关系形成的熵集能构成一个格蕴涵代数.通过引入上、下粗糙滤子的概念,讨论了格蕴涵代数中粗糙滤子的性质.

英文摘要：

In this paper, we apply rough set theory to the lattice implication algebra, we prove the rough set algebra can be induced by fiker of a lattice implication algebra, and a lattice implication algebra can be got from the quotient set. Some properties of rough filters are discussed by introducing the notion of upper/lower rough filters.

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期刊信息
  • 《模糊系统与数学》
  • 中国科技核心期刊
  • 主管单位:国防科技大学
  • 主办单位:国防科技大学理学院 国防科技大学理学院
  • 主编：刘应明
  • 地址：湖南长沙国防科技大学理学院
  • 邮编：410073
  • 邮箱：fuzzysys@cfsm.cn
  • 电话：0731-84576220
  • 国际标准刊号：ISSN：1001-7402
  • 国内统一刊号：ISSN：43-1179/O1
  • 邮发代号:42-180
  • 获奖情况:
  • 美国《数学评论》（Mathematical Reviews）核心引...,中国科技论文统计源期刊,《中国科学引文数据库》来源期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:8133