自然科学版
陕西师范大学学报(自然科学版)
专题研究
基于正则蕴涵算子的三I算法的性质
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于鹏,王国俊
(陕西师范大学 数学与信息科学学院, 陕西 西安 710062)
于鹏,男,硕士研究生.
摘要:
基于正则蕴涵算子分析了三I算法的连续性与逼近性问题,指出在模糊连续输入的条件下,R、RG、RΠ型三I算法均具有连续性与逼近性,并指出了R0型三I算法具有连续性与逼近性的条件是x∈X,A*(x)∧A(x)>12成立.
关键词:
模糊推理; 正则蕴涵算子; 三I算法; 连续性; 逼近性
收稿日期:
2006-07-10
中图分类号:
O142
文献标识码:
A
文章编号:
1672-4291(2007)02-0014-04
基金项目:
国家自然科学基金重点资助项目(10331010)
Doi:
The properties of Triple I method based on the regular implication operator
YU Peng, WANG Guo-jun
(College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China)
Abstract:
Based on the regular implication operator, the continuity and approximation property of triple I method have been analyzed. It is pointed out that under the condition of fuzzy continuous input, R,RG,RΠ triple I methods have continuity and approximation property. It is also pointed out that a sufficient condition for R0 Triple I method to have continuity and approximation property is that for all x∈X, A*(x)∧A(x)>12 holds.
KeyWords:
fuzzy inference; regular implication operator; triple I method; continuity; approximation property