模糊粗糙环及其性质

数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 555-564.

模糊粗糙环及其性质

Department of Information Engineering, Henan College of Finance and Taxation

收稿日期:2012-03-09 出版日期:2013-12-30 发布日期:2023-02-17
作者简介:REN Bi-jun(1959-), male, native of Jiaozuo, Henan, an associate professor of Henan College of Finance and Taxation, engages in the grey system theory and its application; FU Yan-ling(1978-), female, native of Puyang, Henan, a lecturer of Henan College of Finance and Taxation, M.S.D., engages in the rough set theory and its application.
基金资助:
Supported by Soft Science Research Project of Henan Province(122400450212)； Supported by Foundation Lead-edge Technologies Research Project of Henan Province(122300410061)

Fuzzy Rough Ring and Its Properties

Department of Information Engineering, Henan College of Finance and Taxation

Received:2012-03-09 Online:2013-12-30 Published:2023-02-17
About author:REN Bi-jun(1959-), male, native of Jiaozuo, Henan, an associate professor of Henan College of Finance and Taxation, engages in the grey system theory and its application; FU Yan-ling(1978-), female, native of Puyang, Henan, a lecturer of Henan College of Finance and Taxation, M.S.D., engages in the rough set theory and its application.
Supported by:
Supported by Soft Science Research Project of Henan Province(122400450212)； Supported by Foundation Lead-edge Technologies Research Project of Henan Province(122300410061)

摘要/Abstract

摘要： This paper is devoted to the theories of fuzzy rough ring and its properties. The fuzzy approximation space generated by fuzzy ideals and the fuzzy rough approximation operators were proposed in the frame of fuzzy rough set model. The basic properties of fuzzy rough approximation operators were analyzed and the consistency between approximation operators and the binary operation of ring was discussed.

关键词: rough set, approximation operator, fuzzy ideal

Abstract: This paper is devoted to the theories of fuzzy rough ring and its properties. The fuzzy approximation space generated by fuzzy ideals and the fuzzy rough approximation operators were proposed in the frame of fuzzy rough set model. The basic properties of fuzzy rough approximation operators were analyzed and the consistency between approximation operators and the binary operation of ring was discussed.

Key words: rough set, approximation operator, fuzzy ideal

中图分类号:

O159

任必军, 付艳玲. 模糊粗糙环及其性质[J]. 数学季刊, 2013, 28(4): 555-564.

REN Bi-jun, FU Yan-ling. Fuzzy Rough Ring and Its Properties[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 555-564.

[1]	刘春辉. BCK代数的广义（∈,∈∨q）-模糊理想[J]. 数学季刊, 2015, 30(3): 373-380.
[2]	贺鹏飞, 杨永伟, 辛小龙. 格的粗糙直觉模糊理想(滤子)[J]. 数学季刊, 2014, 29(3): 381-391.
[3]	秦克云, 张晓华. 模糊粗糙群中的同态映射[J]. 数学季刊, 2012, 27(1): 123-127.
[4]	于秀清, 徐凤生 . 函数粗集生成的粗积分[J]. 数学季刊, 2011, 26(2): 296-299.
[5]	周厚勇, 赵文菊, 史开泉. F-知识与它的F-还原定理[J]. 数学季刊, 2010, 25(4): 607-614.
[6]	侯亚林, 罗党. 不完备信息下的灰色粗糙集成决策模型[J]. 数学季刊, 2009, 24(1): 151-158.