J4 ›› 2010, Vol. 45 ›› Issue (4): 60-65.
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张琼,吴洪博*
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国家自然科学基金资助项目(10871121)
ZHANG Qiong, WU Hongbo*
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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。
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
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.
Key words: fuzzy logic; basis system L*; unary connective Δ;Δ-root; generalized modus ponens problem
张琼,吴洪博*. BLΔ*系统中理论的Δ-根及广义Δ-MP问题[J]. J4, 2010, 45(4): 60-65.
ZHANG Qiong, WU Hongbo*. The Δ-root of theory and generalized Δ-modus ponens problem in BLΔ*[J]. J4, 2010, 45(4): 60-65.
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