L模糊集上的伪余  

Pseudo-complement on Fuzzy Sets in Lattice L

作　　者：孟令显 王绪柱[2] MENG Ling-xian;WANG Xu-zhu(Zhengzhou University of Light Industry,Zhengzhou,China;Taiyuan University of Technology,Taiyuan,China)

机构地区：[1]郑州轻工业学院 [2]太原理工大学

出　　处：《模糊系统与数学》2018年第5期63-68,共6页Fuzzy Systems and Mathematics

基　　金：博士基金资助项目(2015BSJJ074)

摘　　要：本文讨论了有限完全格L的伪余存在条件。首先,对可分解为全序集的有限完全格,我们给出了判定其伪余存在的一个充分条件;另外,通过定义收缩运算,对一般的有限元完全格,文章给出了判定其伪余存在的充分条件和必要条件。In the literature,we discuss the pseudo-complement in a complete finite lattice.Given a complete finite lattice with a special condition being true,we can get a series of totally ordered sets by decomposing the lattice.From the existence of a pseudo-complement in these totally ordered sets we derive a sufficient condition under which the lattice has a pseudo-complement.Then,through a simple operation--contraction,we obtain a necessary condition and a sufficient condition for the existence of pseudo-complement in a general complete finite lattice as an extension of a lattice satisfying the condition talked before.

关 键 词：完全格 伪余 收缩 

分 类 号：O153[理学—数学]