布尔代数的软商布尔代数

doi:10.6040/j.issn.1671-9352.0.2014.394

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (08): 57-61.doi: 10.6040/j.issn.1671-9352.0.2014.394

布尔代数的软商布尔代数

刘卫锋

郑州航空工业管理学院数理系, 河南郑州 450015

收稿日期:2014-09-06 出版日期:2015-08-20 发布日期:2015-07-31
作者简介:刘卫锋(1976- ),男,硕士,副教授,研究方向为数学建模、模糊数学. E-mail:lwf0519@163.com
基金资助:
航空科学基金项目(2013ZD55006); 郑州航空工业管理学院青年科研基金(2014113001)

Soft quotient Boolean algebra of Boolean algebra

LIU Wei-feng

Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, Henan, China

Received:2014-09-06 Online:2015-08-20 Published:2015-07-31

摘要/Abstract

摘要： 定义了布尔代数的软合同关系、软商代数和软商布尔代数等概念,证明了布尔代数的软合同关系与软理想相互确定,进而由布尔代数的软真理想得到布尔代数的软商布尔代数.最后,证明了布尔代数的软同态具有保软合同性.

关键词: 布尔代数, 软布尔代数, 软理想, 软商布尔代数

Abstract: The concepts of soft congruence relation, soft quotient algebra and soft quotient Boolean algebra of Boolean algebra are defined, and it is proved that soft congruence relation and soft ideal of Boolean algebra can be determined by each other. Then soft quotient Boolean algebra of Boolean algebra is obtained from soft proper ideal of Boolean algebra. Finally, the nature of preserving soft congruence relation of soft homomorphism of Boolean algebras is proved.

Key words: Boolean algebra, soft Boolean algebra, soft ideal, soft quotient Boolean algebra

中图分类号:

O174

刘卫锋. 布尔代数的软商布尔代数[J]. 山东大学学报（理学版）, 2015, 50(08): 57-61.

LIU Wei-feng. Soft quotient Boolean algebra of Boolean algebra[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(08): 57-61.

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布尔代数的软商布尔代数

Soft quotient Boolean algebra of Boolean algebra

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