| BLΔ*系统中理论的Δ-根及广义Δ-MP问题 |
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| 引用本文： | 张琼,吴洪博.BLΔ*系统中理论的Δ-根及广义Δ-MP问题[J].山东大学学报(理学版),2010,45(4):60-65. |
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| 作者姓名： | 张琼 吴洪博 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西,西安,710062 |
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| 摘 要： | 对BL*系统进行了研究。结合Petr Hájek的观点,在BL*系统中添加了一元逻辑连接词Δ,得到BL*系统的一种扩张BLΔ*系统。随后在BLΔ*系统中提出了理论的Δ-根的概念,并对其基本性质进行了研究。最后提出了广义与集体广义Δ-MP问题,定义了上述问题在语构意义下的解,并对解的存在性进行了讨论。
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| 关 键 词： | 模糊逻辑 BL*系统 一元逻辑连接词Δ Δ-根 广义MP问题 |
| 收稿时间： | 2009-04-17 |
The Δ-root of theory and generalized Δ-modus ponens problem in BLΔ* |
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| ZHANG Qiong,WU Hong-bo.The Δ-root of theory and generalized Δ-modus ponens problem in BLΔ*[J].Journal of Shandong University,2010,45(4):60-65. |
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| Authors: | ZHANG Qiong WU Hong-bo |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China |
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| Abstract: | Based on the basis system L*, a schematic extension BLΔ* is introduced by adding the unary connective Δ to BL* with the idea of Petr Hájek.The concept of Δ-root of theory in BLΔ*is proposed and basic properties of Δ-roots are investigated. Particularly, the problems of generalized Δ-modus ponens and collectively generalized Δ-modus ponens are proposed, and the syntactic solutions of them are defined and the existence of solutions is discussed. |
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| Keywords: | fuzzy logic basis system L* generalized modus ponens problem |
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