强De Morgan代数上的广义R_0t-模  

General R_0t-norm on Strong De Morgan Algebras

作　　者：魏萍[1] 张小红[1] 

机构地区：[1]宁波大学数学系,浙江宁波315211

出　　处：《模糊系统与数学》2007年第5期33-38,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60775038);浙江省自然科学基金资助项目(Y605389)

摘　　要：在De Morgan代数上引入广义R0算子,举例说明了一般De Morgan代数中的广义R0算子不能构成t-模。引入强De Morgan代数的概念,讨论它的基本性质,证明强De Morgan代数L上的广义R0算子构成t-模(称为广义R0t-模)。给出若干重要反例,并证明强De Morgan代数上的广义R0t-模是左连续的。Firstly the well-known R0 operator is developed to De Morgan algebras, which is called general R0 operator. Secondly, the notion of strong De Morgan algebra is introduced, and the following result is proved： general Ro operator on strong De Morgan algebra becomes a t-norm. Finally, some counterexamples are given and the following fact is showed： the general R0 t-norms on strong De Morgan algebras are left continuous.

关 键 词：模糊逻辑 DE MORGAN代数 强De MORGAN代数 广义R0t-模 

分 类 号：O159[理学—数学]