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粗糙集代数构造格蕴涵代数
  • ISSN号：1001-7402
  • 期刊名称：模糊系统与数学
  • 时间：2013
  • 页码：162-166
  • 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
  • 相关基金：基金项目：国家自然科学基金资助项目（61175055;61100046）
  • 相关项目：关于程度化格值一阶逻辑的若干关键问题研究
作者： 夏世芬|徐扬|
关键词： 粗糙集代数, 粗糙集, 格蕴涵代数, 同态, Rough Set Algebra, Rough Set, Lattice Implication Algebra, Homomorphism
中文摘要：

给出了一种由粗糙集代数构造格蕴涵代数的方法。根据同态映射，讨论了相应格蕴涵代数的同态性质。证明了在满足一定条件下由粗糙集代数可以构造一个与之格蕴涵同态的代数结构，此为基于粗糙集的逻辑推理提供了赋值域，这是本文意义之所在。

英文摘要：

This paper is about a method of constructing lattice implication algebra based on the rough set algebra and investigates some homomorphism properties. Besides, it also proves an algebra structure which is a lattice implication homomorphism can be got when some conditions meet. All mentioned above can provide a valuation field for the inference of rough set, what is the meaning of the thesis.

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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