计算机工程与应用 ›› 2017, Vol. 53 ›› Issue (5): 36-38.DOI: 10.3778/j.issn.1002-8331.1507-0106

• 理论与研发 • 上一篇    下一篇

软卷积代数

宋焕新,袁志玲,孔祥智   

  1. 江南大学 理学院,江苏 无锡 214122
  • 出版日期:2017-03-01 发布日期:2017-03-03

Soft convolution algebra

SONG Huanxin, YUAN Zhiling, KONG Xiangzhi   

  1. School of  Science, Jiangnan University, Wuxi, Jiangsu 214122, China
  • Online:2017-03-01 Published:2017-03-03

摘要: 利用软集的概念定义了软卷积代数并研究它的基本代数性质,这一概念将卷积代数与关联代数统一到软卷积代数的概念下,为二者在决策学和密码学的应用起到桥梁作用。

关键词: 软集, 卷积代数, 关联代数

Abstract: The concept of soft set is used to define soft convolution algebra, some basic algebraic properties of the soft convolution algebra are researched. The convolution algebra and incidence algebra are unified in the soft convolution algebra. It will be a bridge for the application of convolution algebra and incidence algebra in the Decision Science and Cryptography.

Key words: soft set, convolution algebra, incidence algebra