| 五值非线性序集逻辑系统中命题真度的分布 |
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| 引用本文： | 隋云云.五值非线性序集逻辑系统中命题真度的分布[J].山东大学学报(理学版),2009,44(1):78-82. |
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| 作者姓名： | 隋云云 |
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| 作者单位： | 潍坊学院数学与信息科学学院,山东,潍坊,261061
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| 摘 要： | 利用势为5的均匀概率空间的无穷乘积在五值非线性序集逻辑系统L25中引入了公式的真度概念,给出了真度的一些推理规则,并证明了全体公式的真度值之集在［0,1］上是稠密的,给出了全体公式概率真度的表达通式,为在非线性序集逻辑系统L25中建立近似推理理论提供了一种可能的框架。
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| 关 键 词： | 逻辑系统 非线性序集 真度 推理规则 |
| 收稿时间： | 2008-08-20 |
The distribution of propositional truth degree in 5-valued logic systems associated with a nonlinear ordering true value set |
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| SUI Yun-yun.The distribution of propositional truth degree in 5-valued logic systems associated with a nonlinear ordering true value set[J].Journal of Shandong University,2009,44(1):78-82. |
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| Authors: | SUI Yun-yun |
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| Institution: | School of Mathematics and Information Sciences;Weifang University;Weifang 261061;Shandong;China |
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| Abstract: | Base on the infinite product of evenly distributed probability space with cardinality of 5,the theory of truth degrees in 5-valued logic systems associated with a nonlinear ordering true value set was introduced.Some inference rules were given.It was proved that the set of truth degree of propositions is dense in 0,1],and the expressions of truth degree were obtained.Therefore a possible framework for establishing approximate reasoning theory of 5-valued pro-positional logic systems L25 was proposed. |
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| Keywords: | logic system nonlinear ordering set truth degree inference rule |
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