计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (33): 7-9.

• 博士论坛 • 上一篇    下一篇

区间值模糊软集的格结构

郭智莲1,2,杨海龙1   

  1. 1.陕西师范大学 数学与信息科学学院,西安 710062
    2.西北政法大学 经济管理学院,西安 710063
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-11-21 发布日期:2011-11-21

Lattice structures of interval-valued fuzzy soft sets

GUO Zhilian1,2,YANG Hailong1   

  1. 1.College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
    2.College of Economics and Management,Northwest University of Politics and Law,Xi’an 710063,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-11-21 Published:2011-11-21

摘要: 研究了区间值模糊软集的代数性质。给出了相关算子的一些性质,证明了De Morgan对偶律是成立的;建立了区间值模糊软集的两种格结构;得到这两种格均是分配格。

关键词: 软集, 区间值模糊软集, 格, De Morgan对偶律

Abstract: Algebraic structures of interval-valued fuzzy soft sets are studied.Some operations on interval-valued fuzzy soft sets are introduced.It is proved that certain De Morgan laws hold in interval-valued fuzzy soft sets.Two lattice structures of interval-valued fyzzy soft sets are established.It is obtained that these two lattices are contributive lattices.

Key words: soft sets, interval-valued fuzzy soft sets, lattices, De Morgan law