值乘积命题逻辑中命题的α-真度理论 |
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引用本文: | 龚加安,吴洪博.值乘积命题逻辑中命题的α-真度理论[J].河南师范大学学报(自然科学版),2010,38(1). |
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作者姓名: | 龚加安 吴洪博 |
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作者单位: | 1. 陕西师范大学,数学与信息科学学院,西安,710062;陕西省商洛职业技术学院,陕西,商洛,726000 2. 陕西师范大学,数学与信息科学学院,西安,710062 |
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基金项目: | 国家自然科学基金,陕西师范大学重点科研基金 |
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摘 要: | 利用均匀概率空间的无穷乘积,在n值乘积逻辑系统中引入命题的α-真度概念.给出了一般推理规则,利用命题的α-真度定义了命题间的α-相似度,进而导出命题集上的伪距离,使得在n值命题逻辑系统中展开近似推理成为可能.
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关 键 词: | α-真度 真度 α-相似度 伪距离 |
Theory of α-Truth Degree in n-valued Product Proposition Logical |
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Abstract: | This paper intrduces conccept of α-truth degrees of propositions in n-value product logical system by using the infinite product of evenly distibuted probability space,general reference rules endowed with truth degrees are obtained.Moreover,a pseudo-metric on the set of propositions is definfed by means of the conccept of truth degree of propositons and this make it possible to develop approximate reasoning in n-valued propositional logic. |
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Keywords: | truth degree pseudo-metric |
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