| 模糊谓词逻辑公式的有限和可数解释真度理论 |
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| 引用本文： | 张兴芳,孟广武.模糊谓词逻辑公式的有限和可数解释真度理论[J].聊城大学学报(自然科学版),2004,17(4):1-4,9. |
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| 作者姓名： | 张兴芳 孟广武 |
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| 作者单位： | 聊城大学,数学科学学院,山东,聊城,252059 |
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| 基金项目： | 山东省自然科学基金资助课题(Y2000A05) |
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| 摘 要： | 提出了模糊谓词逻辑公式的有限解释真度和可数解释真度的概念，并讨论了它们的一系列性质．从而为引进公式间的相似度概念、导出全体公式集上的一种伪距离提供了依据，进而为模糊谓词逻辑的近似推理理论提供了一种可能的框架．
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| 关 键 词： | 真度 谓词逻辑 公式 有限 伪距离 近似推理 模糊 相似度 框架 |
| 文章编号： | 1672-6634(204)04-0001-04 |
Theory of Truth Degree Based on the Finite Interpretation and Enumerable Interpretation of Fuzzy Predicate Logic Formulas |
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| ZHANG Xing-fang,MENG Guang-wu.Theory of Truth Degree Based on the Finite Interpretation and Enumerable Interpretation of Fuzzy Predicate Logic Formulas[J].Journal of Liaocheng University:Natural Science Edition,2004,17(4):1-4,9. |
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| Authors: | ZHANG Xing-fang MENG Guang-wu |
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| Abstract: | The new concepts of the truth degree is proposed which bases on respectively finite interpretation and enumerable interpretation of the formulas of fuzzy predicate logic, and a series of properties are discussed. Consequently it offers a foundation that helps to introduce the notions of similar degree and the pseudo-distance among formulas. Further, a theoretic basis for approximate reasoning on fuzzy predicate logic formulas is established. |
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| Keywords: | fuzzy predicate logic formulas evaluation class truth degree based on finite interpretation truth degree based on enumerable interpretation |
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