| LexiT序方法的推广 |
| |
| 引用本文： | 崔丽聪,李永明.LexiT序方法的推广[J].陕西师范大学学报,2006,34(4):17-20. |
| |
| 作者姓名： | 崔丽聪 李永明 |
| |
| 作者单位： | 陕西师范大学数学与信息科学学院 陕西西安710062 |
| |
| 摘 要： | 在最大运算量为2n的LexiT序和LexiS序的基础上,提出了新的LexiTN序和LexiSN序,这两种序保持了LexiT序和LexiS序的所有性质,且它们的最大运算量为2n-1.另外,基于广义平均算子与有序加权平均算子,提出了最大运算量为n的LexiH序与LexiF序,研究了其性质.将0,1]n]上的LexiR序推广到0,1]n上,讨论了其性质.
|
| 关 键 词： | 全序 t-模 s-模 广义平均算子 有序加权平均算子 LexiR序 |
| 文章编号： | 1672-4291（2006）04-0017-04 |
| 收稿时间： | 2005-10-12 |
| 修稿时间： | 2005年10月12 |
Generalization of LexiT ordering method |
| |
| CUI Li-cong,LI Yong-ming.Generalization of LexiT ordering method[J].Journal of Shaanxi Normal University: Nat Sci Ed,2006,34(4):17-20. |
| |
| Authors: | CUI Li-cong LI Yong-ming |
| |
| Abstract: | Based on LexiT ordering and LexiS ordering,whose maximum calculations are 2~n,LexiTN ordering and LexiSN ordering are proposed in this paper,which preserve all the properties of LexiT ordering and LexiS ordering and whose maximum calculations are(2n-1).Based on two averaging aggregation operators,the generalized averaging operator and ordered weighted averaging operator,LexiH ordering and LexiF ordering are presented and their properties are studied.LexiR ordering on ~(n]) is generalized to ~n and their properties are discussed. |
| |
| Keywords: | total order t-norm s-norm generalized averaging operator ordered weighted averaging operator LexiR ordering |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
