m-半格的粗糙模糊理想

吉林大学学报(理学版)

m-半格的粗糙模糊理想

周欣, 赵彬

陕西师范大学数学与信息科学学院, 西安 710062

收稿日期:2014-10-09 出版日期:2015-05-26 发布日期:2015-05-21
通讯作者: 赵彬 E-mail:zhaobin@snnu.edu.cn

Rough Fuzzy Ideals of m-Semilattices

ZHOU Xin, ZHAO Bin

College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

Received:2014-10-09 Online:2015-05-26 Published:2015-05-21
Contact: ZHAO Bin E-mail:zhaobin@snnu.edu.cn

摘要/Abstract

摘要：

应用粗糙集理论给出m-半格上由模糊(素)理想诱导的同余及关于这种同余上(下)粗糙模糊近似算子的性质. 通过引入m半格粗糙模糊(素)理想的概念, 讨论了m-半格上粗糙模糊(素)理想与模糊(素)理想的关系及粗糙模糊(素)理想与(素)理想的关系.

关键词: m-半格, 上(下)粗糙模糊近似算子, (模糊)理想, 粗糙模糊(素)理想

Abstract:

Using rough set theory, we proposed the congruences induced by fuzzy (prime) ideals of an m-semilattice and studied the properties of the upper (lower) rough fuzzy approximation operators with respect to these congruences. Then we introduced the notions of rough fuzzy (prime) ideals of m-semilattice, and established the relationships between rough fuzzy (prime) ideals and fuzzy (prime) ideals and the relationships between rough fuzzy (prime) ideals and (prime) ideals of m-semilattices.

Key words: m-semilattice, upper (lower) rough fuzzy approximation operator, (fuzzy) ideal, rough fuzzy (prime) ideal

中图分类号:

O153.1

周欣, 赵彬. m-半格的粗糙模糊理想[J]. 吉林大学学报(理学版), 2015, 53(03): 429-438.

ZHOU Xin, ZHAO Bin. Rough Fuzzy Ideals of m-Semilattices[J]. Journal of Jilin University Science Edition, 2015, 53(03): 429-438.