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根据演绎定理和完备性定理,应用公式真度理论在Lukasiewicz命题模糊逻辑系统中讨论理论Γ的相容性,根据矛盾式■是Γ-结论的真度的大小,提出了一种新的极指标和相容度的概念.给出了理论Γ相容、不相容及其它相关结论的充分必要条件,并且获得了相容度与发散度之间联系的重要关系式. 相似文献
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论Goedel蕴涵算子不宜用于建立模糊逻辑系统 总被引:1,自引:0,他引:1
通过演绎定理和命题的真度理论指出基于Goedel蕴涵算子的3值逻辑系统反映了直觉主义逻辑的特点。但如果基于Goedel蕴涵算子建立模糊逻辑系统,则相应的语构理论与积分语义理论是不协调的。 相似文献
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通过演绎定理和命题的真度理论指出基于Go¨del蕴涵算子的3值逻辑系统反映了直觉主义逻辑的特点。但如果基于Go¨del蕴涵算子建立模糊逻辑系统,则相应的语构理论与积分语义理论是不协调的。 相似文献
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论G(O)del蕴涵算子不宜用于建立模糊逻辑系统 总被引:2,自引:0,他引:2
通过演绎定理和命题的真度理论指出基于G(O)del蕴涵算子的3值逻辑系统反映了直觉主义逻辑的特点.但如果基于G(O)del蕴涵算子建立模糊逻辑系统,则相应的语构理论与积分语义理论是不协调的. 相似文献
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关于Boole语义的真度不变性定理 总被引:2,自引:1,他引:1
基于B-赋值理论,在B为有限Boole代数的前提下,得出了三个主要结论。首先,讨论了广义Boole函数与Boole函数之间的关系。其次,得出了在有限Boole语义理论意义下的真度不变性定理。最后给出了经典逻辑系统关于有限Boole语义的完备性定理。 相似文献
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在三值Godel命题逻辑系统中,推出了公式随机真度的推理规则,证明了随机逻辑度量空间中逻辑运算的连续性;研究了随机逻辑度量空间理论的发散度,提出了三种不同类型的近似推理模式,并证明了三种推理模式的等价性.这将进一步完善三值Gōdel逻辑系统中随机真度和随机逻辑度量空间的理论. 相似文献
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Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
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Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
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H. H. Cuenya M.D. Lorenzo C. N. Rodriguez 《分析论及其应用》2007,23(2):162-170
In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms. 相似文献
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《中国科学 数学(英文版)》2014,(8)
<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by 相似文献
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《计算数学》2014,(2)
<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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W.M.Shah A.Liman 《分析论及其应用》2004,20(1):16-27
Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem. 相似文献
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In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 <β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 <α≤ 1). 相似文献
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Francois Chaplais 《分析论及其应用》2006,22(4):301-318
In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f(u) of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation. 相似文献
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A.Al-Shuaibi F.Al-Rawjih 《分析论及其应用》2004,20(1):28-34
Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated. 相似文献