模糊统计法与蕴涵算子  

FUZZY STATISTICAL METHOD AND IMPLICATION OPERATOR

作　　者：徐锬[1] 

机构地区：[1]南开大学数学研究所,天津300071

出　　处：《南开大学学报（自然科学版）》2003年第3期57-61,72,共6页Acta Scientiarum Naturalium Universitatis Nankaiensis

摘　　要：对模糊统计法作了推广,得到了模糊蕴涵算子应满足的性质,并据此研究了十六种常用的模糊蕴涵 算子,进而选出四种定义合理的算子.以这四种蕴涵算子为例,根据模糊统计的思想,阐述了如何确定每种蕴涵 算子适用的场合.In this paper some properties that fuzzy implication operators should satisfy were obtained by generalizing the fuzzy statistical method. Based on this method, four reasonably defined fuzzy implication operators were selected from sixteen familiar ones. The author analyzes the four operators as examples to determine in what situations they should be used based on the principle of fuzzy statistics.

关 键 词：模糊逻辑 蕴涵算子 隶属函数 模糊统计法 

分 类 号：O159[理学—数学]