格上BR0-代数结构的表示定理

J4 ›› 2010, Vol. 45 ›› Issue (9): 38-42.

• 第十届中国Rough集与软计算学术会议专栏 • 上一篇下一篇

格上BR₀-代数结构的表示定理

乔希民^1,2,吴洪博^1*

1.陕西师范大学数学与信息科学学院, 陕西西安 710062;
2.商洛学院数学与计算科学系, 陕西商洛 726000

收稿日期:2010-02-08 出版日期:2010-09-16 发布日期:2010-10-12
通讯作者: 吴洪博(1959-),男,博士,教授,研究方向为格上拓扑学与非经典数理逻辑.
作者简介:乔希民(1960-),男,硕士研究生,讲师,研究方向为非经典数理逻辑. Email:qiaoximin@163.com
基金资助:
国家自然科学基金资助项目(10871121);陕西师范大学重点科研基金资助项目(995130)

The representation theorem of lattice BR₀-algebraic structure

QIAO Xi-min^1,2, WU Hong-bo^1*

1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China;
2. Department of Mathematics and Computer Science, Shangluo University, Shangluo 726000, Shaanxi, China

Received:2010-02-08 Online:2010-09-16 Published:2010-10-12

摘要/Abstract

摘要：

利用模糊命题演绎系统BL*中公理的基本特征,研究了BR₀-代数结构,给出了BR₀-代数结构在有界分配格上、有界格上及一般格上的不同形式的表示定理,同时指出了其相应的不同格上R₀-代数结构的表达形式。

关键词: 模糊逻辑; BR₀-代数结构; 有界分配格; 有界格; 格; 表示定理

Abstract:

BR₀-algebraic structure is studied by using the basic character of the axiom in fuzzy propositional logic system BL*, and the different representations theorems of BR₀-algebraic are given in bounded distributive lattice, bounded lattice and general lattice. Also, the expressions of corresponding different lattice R₀-algebraic are pointed out.

Key words: fuzzy logic; BR₀-algebraic structure; bounded distributive lattice; bounded lattice; lattice; representation theorem

乔希民1,2,吴洪博1*. 格上BR₀-代数结构的表示定理[J]. J4, 2010, 45(9): 38-42.

QIAO Xi-min1,2, WU Hong-bo1*. The representation theorem of lattice BR₀-algebraic structure[J]. J4, 2010, 45(9): 38-42.

参考文献

多维度评价

Viewed

Full text

459

HTML			PDF

Just accepted	Online first	Issue	Just accepted	Online first	Issue
0	0	0	0	0	459

From	Others	local

Times	29	430
Rate	6%	94%

Abstract

609

Just accepted	Online first	Issue

0	0	609

	From	Others

	Times	609
	Rate	100%

Cited

Web of Science	Crossref	ScienceDirect	Search for Citations in Google Scholar >>


This page requires you have already subscribed to WoS.

Shared

Discussed

格上BR₀-代数结构的表示定理

The representation theorem of lattice BR₀-algebraic structure

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

多维度评价

本文评价

推荐阅读 0