布尔代数的区间值(∈,∈∨ q)模糊子代数

J4 ›› 2013, Vol. 48 ›› Issue (10): 94-98.

布尔代数的区间值(∈,∈∨ q)模糊子代数

刘春辉1,2

1. 赤峰学院教务处, 内蒙古赤峰 024001; 2. 赤峰学院数学与统计学院, 内蒙古赤峰 024001

收稿日期:2012-12-29 发布日期:2013-10-14
作者简介:刘春辉 (1982- ), 男, 硕士, 讲师, 研究方向为数理逻辑Domain理论与拓扑学. Email:chunhuiliu1982@163.com
基金资助:
国家自然科学基金资助项目(10371106, 60774073)

Interval valued (∈,∈∨ q)fuzzy subalgebras of Boolean algebras

LIU Chun-hui1,2

1. Office of Academic Affairs, Chifeng University, Chifeng 024001, Inner Mongolia, China;
2. Department of Mathematics and Statistics, Chifeng University, Chifeng 024001, Inner Mongolia, China

Received:2012-12-29 Published:2013-10-14

摘要/Abstract

摘要：

在布尔代数中引入区间值(∈,∈∨ q)模糊子代数的概念并给出其若干等价刻画。讨论布尔代数的区间值(∈,∈∨ q)模糊子代数的同态像与直积性质, 证明了布尔代数的区间值(∈,∈∨ q)模糊子代数的满同态像与直积仍为区间值(∈,∈∨ q)模糊子代数。

关键词: 布尔代数; 区间值(∈,∈∨ q)模糊子代数; 直积

Abstract:

The concept of interval valued (∈,∈∨ q)fuzzy subalgebras is introduced in Boolean algebras and some equivalent characterizations of this concept are given. The properties of homomorphism image and direct product of interval valued (∈,∈∨ q)fuzzy subalgebras in Boolean algebras are discussed. It is proved that the surjective homomorphism image and direct product of interval valued (∈,∈∨ q)fuzzy subalgebras are also interval valued (∈,∈∨ q)fuzzy subalgebras of Boolean algebras, respectively.

Key words: Boolean algebra; interval valued (∈,∈∨ q)fuzzy subalgebra; direct product

中图分类号:

O141.1

刘春辉1,2. 布尔代数的区间值(∈,∈∨ q)模糊子代数[J]. J4, 2013, 48(10): 94-98.

LIU Chun-hui1,2. Interval valued (∈,∈∨ q)fuzzy subalgebras of Boolean algebras[J]. J4, 2013, 48(10): 94-98.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed

[1]	刘春辉1,2. 正则剩余格的素模糊⊙理想及其拓扑性质[J]. J4, 2013, 48(12): 52-56.
[2]	刘春辉1,2. Heyting代数的模糊滤子格[J]. J4, 2013, 48(12): 57-60.
[3]	马丽娜王国俊. Lukasiewicz三值逻辑中命题的真度值之集在［0,1］上的分布[J]. J4, 2009, 44(10): 54-59.
[4]	袁彦莉张兴芳. Gödel逻辑系统中公式条件概率真度的研究[J]. J4, 2009, 44(9): 70-74.
[5]	段景瑶王国俊. 关于K的三种模糊模态逻辑[J]. J4, 2008, 43(12): 31-39.