扩展(拓扑)剩余格与Rough集

J4 ›› 2010, Vol. 45 ›› Issue (9): 27-31.

• 第十届中国Rough集与软计算学术会议专栏 • 上一篇下一篇

扩展(拓扑)剩余格与Rough集

马欢,张小红*

宁波大学数学系, 浙江宁波 315211

收稿日期:2010-06-13 出版日期:2010-09-16 发布日期:2010-10-12
通讯作者: 张小红(1965-),男,教授,博士生导师,研究方向为代数学、计算机科学中的非经典数理逻辑、模糊数学与Rough 集理论.
作者简介:马欢(1983-),女,硕士研究生,研究方向为代数学. Email:mahuan1029@163.com
基金资助:
国家自然科学基金资助项目(60775038);宁波市自然科学基金资助项目(2009A610078)

The extended (topological) residuated lattice and Rough set

MA Huan, ZHANG Xiao-hong*

Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, China

Received:2010-06-13 Online:2010-09-16 Published:2010-10-12

摘要/Abstract

摘要：

以扩展剩余格的广义Rough 集为背景,引入拓扑扩展剩余格的概念,研究了它的滤子理论和扩展剩余格中的N-滤子和优拓扑剩余格的v-滤子,并由这些滤子构建了相应的商代数结构。

关键词: 扩展剩余格;Rough集;拓扑扩展剩余格;滤子

Abstract:

Based on the extended residuated lattice of extended Rough set, the concept of topological extended residuated lattice is introduced and its filter is studied. Also, the N-filter of the extended residuated lattice and the v-filter of well topological residuated lattice are also studied, and the quotient algebraic structures are constructed corresponding these filters.

Key words: extended residuated lattice; Rough set; topological extended residuated lattice; filter

马欢,张小红*. 扩展(拓扑)剩余格与Rough集[J]. J4, 2010, 45(9): 27-31.

MA Huan, ZHANG Xiao-hong*. The extended (topological) residuated lattice and Rough set[J]. J4, 2010, 45(9): 27-31.

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扩展(拓扑)剩余格与Rough集

The extended (topological) residuated lattice and Rough set

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