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形式布尔算子的命题逻辑
Formal boolean operator proposional logic
【摘要】 在定量的意义下使模糊命题演算完全包容经典命题逻辑是不可能的 .布尔算子命题逻辑用算子和算子的演算定性地描述和处理模糊命题的不确定性 ,将经典命题逻辑作为其特例 .在布尔算子命题逻辑中给出了其公理系统和求公式恒真水平的机械推导算法
【Abstract】 It is impossible for a quantitative fuzzy propositional logic to subsume classical propositional logic. In this paper, Boolean operator propositional logic (BOPL), which is a natural generalization of classical propositional logic, is proposed. In BOPL, the uncertainties of fuzzy propositions are qualitatively characterized by fuzzy operators and their calculi. The axioms of BOPL and an algorithm for truth level of a given formula in BOPL are also provided.
【关键词】 布尔算子命题逻辑;
恒真水平;
恒假水平;
范式;
王浩算法;
【Key words】 Boolean operator proposional logic; truth level; false level; normal form; Wang Hao’s algorithm;
【Key words】 Boolean operator proposional logic; truth level; false level; normal form; Wang Hao’s algorithm;
【基金】 国家自然科学基金资助项目!( 6970 3 0 1 0 ;69983 0 0 2 )
- 【文献出处】 东北师大学报(自然科学版) ,JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION) , 编辑部邮箱 ,2000年03期
- 【分类号】TP301
- 【被引频次】1
- 【下载频次】76