模糊粗糙群中的同态映射

数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 123-127.

模糊粗糙群中的同态映射

1. College of Mathematics, Southwest Jiaotong University 2. Department of Basic, Hebi Vocational and Technical College

收稿日期:2010-07-07 出版日期:2012-03-30 发布日期:2023-04-07
作者简介:QIN Ke-yun(1962-), male, native of Xinxiang, Henan, a professor of Southwest Jiaotong University, engaged in many-valued logic, rough set theory.
基金资助:
Supported by the National Natural Science Foundation of China(60875034)

Homomorphic Properties of Fuzzy Rough Groups

1. College of Mathematics, Southwest Jiaotong University 2. Department of Basic, Hebi Vocational and Technical College

Received:2010-07-07 Online:2012-03-30 Published:2023-04-07
About author:QIN Ke-yun(1962-), male, native of Xinxiang, Henan, a professor of Southwest Jiaotong University, engaged in many-valued logic, rough set theory.
Supported by:
Supported by the National Natural Science Foundation of China(60875034)

摘要/Abstract

摘要： This paper is devoted to the discussion of homomorphic properties of fuzzy rough groups. The fuzzy approximation space was generated by fuzzy normal subgroups and the fuzzy rough approximation operators were discussed in the frame of fuzzy rough set model. The basic properties of fuzzy rough approximation operators were obtained.

关键词: rough sets, approximation operators, groups, fuzzy normal subgroups

Abstract: This paper is devoted to the discussion of homomorphic properties of fuzzy rough groups. The fuzzy approximation space was generated by fuzzy normal subgroups and the fuzzy rough approximation operators were discussed in the frame of fuzzy rough set model. The basic properties of fuzzy rough approximation operators were obtained.

Key words: rough sets, approximation operators, groups, fuzzy normal subgroups

中图分类号:

O159

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.

QIN Ke-yun, ZHANG Xiao-hua. Homomorphic Properties of Fuzzy Rough Groups [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(1): 123-127.

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