积逻辑系统中的广义重言式(英文)  

Generalized Tautologies in Product Logical Systems

作　　者：裴道武[1] 李骏[2] 

机构地区：[1]西安交通大学理学院 [2]甘肃工业大学基础科学系,甘肃兰州730050

出　　处：《模糊系统与数学》2002年第4期19-27,共9页Fuzzy Systems and Mathematics

摘　　要：讨论积逻辑系统中的广义重言式理论 ,给出积逻辑系统中子代数和广义重言式的一系列性质。本文的主要结果表明 ,在几个重要的逻辑系统中 ,标准积逻辑系统具有最简单的广义重言式结构 ,而在推理过程中 ,它具有较差的真值传递性。This paper focuses on the theory of generalized tautologies in product logical systems. A series of properties of subalgebras and generalized tautologies of product logical systems are given out. The main results show that the standard product logical system P has the simplest structure of generalized tautologies in several important fuzzy logical systems, and it possesses the worse transitivity of truth values in inference processes.

关 键 词：模糊逻辑 积逻辑系统 广义重言式 传递性 

分 类 号：O141.1[理学—数学] O159[理学—基础数学]