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J4 ›› 2013, Vol. 48 ›› Issue (8): 56-62.

• 论文 • 上一篇    下一篇

软布尔代数

刘卫锋   

  1. 郑州航空工业管理学院数理系, 河南 郑州 450015
  • 收稿日期:2013-02-22 出版日期:2013-08-20 发布日期:2013-08-21
  • 作者简介:刘卫锋(1976- ),男,讲师,硕士,研究方向为数学建模、模糊数学.Email:lwf0519@163.com
  • 基金资助:

    河南省教育厅科学技术研究重点项目(12B110027)

Soft Boolean algebra

LIU Wei-feng   

  1. Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management,
    Zhengzhou 450015, Henan, China
  • Received:2013-02-22 Online:2013-08-20 Published:2013-08-21

摘要:

将软集理论应用到布尔代数中,提出了软布尔代数、软布尔子代数、软布尔代数的软理想、软理想布尔代数等概念,研究了它们的相关性质,并初步讨论了软布尔代数与几类布尔代数的模糊子代数的关系。

关键词: 布尔代数;软布尔代数;软布尔子代数;软理想;理想软布尔代数

Abstract:

The soft set theory is applied to the Boolean algebra. The concepts of soft Boolean algebra, soft Boolean subalgebra, soft ideal of soft Boolean algebra and idealistic soft Boolean algebra are presented and some related algebraic properties are discussed. The relations between soft Boolean algebra and several kinds of fuzzy subalgebras of Boolean algebra are preliminarily investigated.

Key words: Boolean algebra; soft Boolean algebra; soft Boolean subalgebra; soft ideal; idealistic soft Boolean algebra

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