计算机科学 ›› 2009, Vol. 36 ›› Issue (12): 214-215.

• 人工智能 • 上一篇    下一篇

T-直觉模糊子群相关性质研究

程涛,米据生   

  1. (河北师范大学数学与信息科学学院 石家庄050016)
  • 出版日期:2018-11-16 发布日期:2018-11-16
  • 基金资助:
    本文受国家自然科学基金项目(60773174),河北省自然科学基金(A2006000129)资助。

Correlation Properties of T-intuitionistic Fuzzy Subgroups

CHENG Tao, MI Ju-sheng   

  • Online:2018-11-16 Published:2018-11-16

摘要: 主要讨论了直觉模糊粗糙集与群结构之间的联系。通过借助群上的子直觉模糊正规子群,得到群上的子直觉模糊相似关系,从而建立群上的直觉模糊粗糙集。研究了群上的直觉模糊粗糙集的乘积结构以及群同态下直觉模糊粗糙集上下近似的性质。

关键词: 直觉模糊集,直觉模糊粗糙集,T-直觉模糊子群,T-直觉模糊正规子群

Abstract: We discussed the relation between intuitionistic fuzzy rough sets and group structure. By drawing on the T-intuitionistic fuzzy normal subgroup,we obtained the T intuitionistic fuzzy similarity relation on group,and set up intuitionistic fuzzy rough sets on group. We studied the product of the intuitionistic fuzzy rough sets and the properties of intuitionistic fuzzy rough upper and lower approximate perators under group homomorphis.

Key words: Intuitionstic fuzzy sets, Intuitionstic fuzzy rough sets, T-intuitionstic fuzzy subgroups, T-intuitionstic fuzzy normal subgroups

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