WBR0-代数的Fuzzy蕴涵理想

吉林大学学报(理学版)

WBR₀-代数的Fuzzy蕴涵理想

吴苏朋^1,2, 赵彬¹

1. 陕西师范大学数学与信息科学学院, 西安 710119； 2. 安康学院数学系, 陕西安康 725000

收稿日期:2015-01-26 出版日期:2015-11-26 发布日期:2015-11-23
通讯作者: 赵彬 E-mail:zhaobin@snnu.edu.cn

Fuzzy Implicational Ideals of WBR₀-Algebras

WU Supeng^1,2, ZHAO Bin¹

1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China;2. Department of Mathematics, Ankang University, Ankang 725000, Shaanxi Province, China

Received:2015-01-26 Online:2015-11-26 Published:2015-11-23
Contact: ZHAO Bin E-mail:zhaobin@snnu.edu.cn

摘要/Abstract

摘要：

通过在WBR₀-代数上引入Fuzzy蕴涵理想的概念, 讨论Fuzzy蕴涵理想的基本性质, 得到了Fuzzy蕴涵理想的几种等价刻画. 通过定义Fuzzy同余关系, 建立Fuzzy蕴涵理想和Fuzzy同余之间的关系, 并利用Fuzzy蕴涵理想诱导了商代数, 得到了WBR₀-代数的同态基本定理.

关键词: WBR₀-代数, Fuzzy蕴涵理想, Fuzzy同余关系, 商代数

Abstract:

Firstly, the concept of fuzzy implicational ideals of WBR₀-algebras was proposed, some basic properties were discussed and some characterizations were obtained. Secondly, the notions of fuzzy congruences were defined, the relationships between fuzzy implicational ideals and fuzzy congruences were established. Lastly, the quotient algebra was induced by the fuzzy ideal and the homomorphism fundamental theorem was given.

Key words: WBR₀-algebra, fuzzy implicational ideal, fuzzy congruence, quotient algebra

中图分类号:

O141.1

吴苏朋, 赵彬. WBR₀-代数的Fuzzy蕴涵理想[J]. 吉林大学学报(理学版), 2015, 53(06): 1119-1126.

WU Supeng, ZHAO Bin. Fuzzy Implicational Ideals of WBR₀-Algebras[J]. Journal of Jilin University Science Edition, 2015, 53(06): 1119-1126.

WBR₀-代数的Fuzzy蕴涵理想

Fuzzy Implicational Ideals of WBR₀-Algebras

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