摘要
分析若干常见模糊蕴涵的定义和性质，以检验模糊蕴涵算子的19条性质为出发点，引入若干常见模糊蕴涵的定义，提出推理蕴涵、基本蕴涵和保值蕴涵等概念；对常见蕴涵的性质进行分析，比较了它们的关系；探讨19条性质的独立性，得到如果Ⅰ满足Ⅰ10，Ⅰll和Ⅰ16，则Ⅰ满足Ⅰ1～Ⅰ19，且Ⅰ10，Ⅰ11和Ⅰ16是相互独立的．
Some fuzzy implication and their properties are analyzed. Based on the 19 properties which is used to verify the fuzzy implications, some well-known fuzzy implications which include reasoning impli- cation, basic implication and value-maintained implication are introduced. The properties of the well- known fuzzy implications are analyzed and the relations of them are discussed. The interdependencies a- mong the 19 properties are given. It is got that if Ⅰ satisfies Ⅰ 10, Ⅰ 11 and Ⅰ 16, then I satisfies Ⅰ 1- Ⅰ 19,moreover Ⅰ 10, Ⅰ 11 and Ⅰ 16 are mutually independent.
出处
《纺织高校基础科学学报》
CAS
2007年第4期372-377,共6页
Basic Sciences Journal of Textile Universities
基金
陕西省教育厅专项科研项目(07JK255)
西安工程大学科研基金资助项目
河南省自然科学基金资助项目(0611053900)
关键词
模糊蕴涵
推理蕴涵
基本蕴涵
保值蕴涵
fuzzy implication
reasoning implication
basic implication
value-maintained implication
