计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (13): 25-27.

• 博士论坛 • 上一篇    下一篇

效应代数的T-模糊滤子

花秀娟   

  1. 西安理工大学 应用数学系,西安 710054
  • 出版日期:2015-07-01 发布日期:2015-06-30

T- fuzzy filter of effect algebra

HUA Xiujuan   

  1. Department of Applied Mathematics, Xi’an University of Technology, Xi’an 710054, China
  • Online:2015-07-01 Published:2015-06-30

摘要: 研究了效应代数上的[T-]模糊滤子的一些问题。利用水平截集及范数的方法获得了一些相关的结果,推广了效应代数模糊滤子的一些结果,得到存在一个映射使得效应代数的所有[T-]模糊滤子与这个效应代数的[T-]同余关系对应的结论。

关键词: 效应代数, [T-]模糊滤子, [T-]模糊同余, 可想像的

Abstract: T-fuzzy filters of an effect algebra are studied. Some related results by using level sets and [T-]norm are obtained. And some properties of fuzzy filters on an effect algebra are expanded. Moreover, a [T-]fuzzy congruence is proposed and that there is a correspondence bijection between the set of all [T-]fuzzy filters of an effect algebra and the sets of all [T-]fuzzy congruence in that effect algebra is proved.

Key words: effect algebra, [T-]fuzzy filter, [T-]fuzzy congruence, imaginable