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基于格值逻辑系统LP(Ⅹ)的α-归结域的代数结构
  • ISSN号：1672-3961
  • 期刊名称：《山东大学学报：工学版》
  • 时间：0
  • 分类：TP18[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]内江师范学院数学与信息科学学院,四川内江641112, [2]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）; 四川省科技支撑计划资助项目（2011FZ0051）; 四川省教育厅科研基金面上资助项目（11ZB023,12ZB263）
作者： 刘熠[1,2], 贾海瑞[2], 秦晓燕[2], 徐扬[2]
关键词： 格蕴涵代数, 格值逻辑系统, α-归结, 归结域, 滤子, lattice implication algebras , lattice-valued logic systems , a-resolution, resolution field, filter
中文摘要：

首先得到了与g不可α-归结的广义文字的集合D＊α（g）做成了∨-半群且也是一个序滤子;其次研究了由D＊α（g）所确定的一个新的代数结构Df,Df做成一个格滤子,并研究了Df的一些相关性质;最后研究了由Df所确定的代数结构κ（D）,得到了κ（D）构成滤子并研究了κ（D）的结构。

英文摘要：

First, the generalized literals set D＊α（g）, which couldn＇t be a-resolved with a fixed generalized literal g, was a V -semigroup and an order filter. Second, a new algebraic structure D^f determined by D＊α（g） was a lattice filter, and the properties of D^f were investigated. Finally, the algebraic structure K（D） was determined by D^f, the fact that K （D） was a filter was obtained and the structure of K（D） was studied.

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期刊信息
  • 《山东大学学报：工学版》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:山东大学
  • 主编：李术才
  • 地址：山东济南市经十路17923号
  • 邮编：250061
  • 邮箱：xbgxb@sdu.edu.cn
  • 电话：0531-88396452
  • 国际标准刊号：ISSN：1672-3961
  • 国内统一刊号：ISSN：37-1391/T
  • 邮发代号:24-221
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,波兰哥白尼索引,美国剑桥科学文摘,中国中国科技核心期刊,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:6258