| Lukasiewicz三值命题逻辑中命题的真度理论 |
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| 引用本文： | 李骏,兰倩,黎锁平. Lukasiewicz三值命题逻辑中命题的真度理论[J]. 模糊系统与数学, 2004, 18(4): 39-45 |
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| 作者姓名： | 李骏 兰倩 黎锁平 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050;兰州理工大学,土木工程学院,甘肃,兰州,730050 |
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| 基金项目： | 兰州理工大学优秀青年基金资助项目 |
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| 摘 要： | 利用势为3的均匀概率空间的无穷乘积在Lukasiewicz三值命题逻辑中引入了公式的真度概念，证明了全体公式的真度值之集在[0，1]上是稠密的，并给出真度的表达式；利用真度定义公式问的相似度，进而导出全体公式集上的一种伪距离，为三值命题的近似推理理论提供一种可能的框架。
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| 关 键 词： | 真度 相似度 近似推理 |
| 文章编号： | 1001-7402(2004)04-0039-07 |
| 修稿时间： | 2003-01-06 |
Theory of Truth Degree in Lukasiewicz 3-valued Propositional Loggic |
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| LI Jun,LAN Qian,LI Suo-ping. Theory of Truth Degree in Lukasiewicz 3-valued Propositional Loggic[J]. Fuzzy Systems and Mathematics, 2004, 18(4): 39-45 |
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| Authors: | LI Jun LAN Qian LI Suo-ping |
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| Affiliation: | LI Jun~1,LAN Qian~2,LI Suo-ping~1 |
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| Abstract: | Base on the infinite product of evenly distributed probability space, this paper introduced the theory of truth degrees in Lukasiewicz 3-valued propositional logic. It is proved that the set of (truth) degrees of Propositions is dense in [0,1], and expressions of truth degrees are obtained. (Moreover,) a pseudo-metric on the set of propositions is defined by means of the concept of truth (degrees) of propositions and a possible framework for approximate reasoning is proposed. |
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| Keywords: | Truth Degree Similarity Degree Approximate Reasoning |
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