环的(∈,∈∨q)-直觉模糊理想

J4 ›› 2012, Vol. 47 ›› Issue (8): 16-21.

环的(∈,∈∨q)-直觉模糊理想

潘玲, 廖祖华*,王秋菊,李云,嵇敏

江南大学理学院, 江苏无锡 214122

收稿日期:2011-04-21 出版日期:2012-08-20 发布日期:2012-12-24
通讯作者: 廖祖华(1957- ),男,教授,硕士生导师,主要从事模糊代数,粗糙集,矩阵理论及应用研究.Email:Liaozuhua57@yahoo.cn
作者简介:潘玲(1990- ),女,研究方向为模糊代数与粗糙集.Email:pl030703@126.com
基金资助:
江苏省教育科学“十一五”规划基金项目(D／2006／01／171);江苏省教育厅项目(2009598); 江南大学大学生创新训练计划项目(2010596)

(∈,∈∨q)-Intuitionistic fuzzy ideals of rings

PAN Ling, LIAO Zu-hua*, WANG Qiu-ju, LI Yun, JI Min

School of Science, Jiangnan University, Wuxi 214122, Jiangsu, China

Received:2011-04-21 Online:2012-08-20 Published:2012-12-24

摘要/Abstract

摘要：

基于直觉模糊集截集理论和模糊点xt与直觉模糊集A的邻属关系,利用3-值Lukasiewicz蕴涵算子,给出了环的(∈,∈∨q)-直觉模糊理想的定义,并且得到了它的一些等价条件和性质。

关键词: 广义模糊理想;(∈,∈∨q)-模糊理想; (∈,∈∨q)-直觉模糊理想;蕴涵算子

Abstract:

Based on the theory of cut sets on intuitionistic fuzzy sets and the neighborhood relations between a fuzzy point xt and an intuitionistic fuzzy set A, the definition of (∈,∈∨q)intuitionistic fuzzy ideals of a ring are given by the 3-valued Lukasiewicz implication operator. Some of its equivalent conditions and properties are obtained.

Key words: ring;generalized fuzzy ideal; (∈,∈∨q)-fuzzy ideal; (∈,∈∨q)-intuitionistic fuzzy ideal; implication operator

潘玲, 廖祖华*,王秋菊,李云,嵇敏. 环的(∈,∈∨q)-直觉模糊理想[J]. J4, 2012, 47(8): 16-21.

PAN Ling, LIAO Zu-hua*, WANG Qiu-ju, LI Yun, JI Min. (∈,∈∨q)-Intuitionistic fuzzy ideals of rings[J]. J4, 2012, 47(8): 16-21.

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