布尔算子Fuzzy逻辑中的锁归结原理*

本文将一阶逻辑中的锁归结方法和广义锁归结方法推广到布尔算子Fuzzy逻辑中，并且证明了布尔算子Fuazzy逻辑中的锁归结方法和一种特殊的广义锁归结方法是广义完备的．     

布尔算子Fuzzy逻辑中的锁归结原理

本文将一阶逻辑中的锁归结方法和广义锁归结方法推广到布尔算子Ｆｕｚｚｙ逻辑中，并且证明了布尔算子Ｆｕｚｚｙ逻辑的锁归结方法和一种特殊的广义锁归结方法是广义完备的。     

广义归结

本文对1965年J.A.Robinson提出的归结方法(Resolution principle)做了推广,提出了广义归结方法。由于广义归结方法允许对所要证明的定理做比较自然的描述,因此,使用广义归结方法去证明定理会简单,自然。本文证明了广义归结方法的完备性和一种广义锁归结方法、广义线性归结方法、广义语义归结方法的完备性。     

广义λ—归结

在这篇论文中,提出了广义λ-子句的概念和引进了广义λ-归结方法.证明了广义λ-归结方法对于广义λ-子句集是完备的.     

直觉模糊逻辑的（α,β）-广义锁归结方法

归结方法是定理自动证明的重要工具。为了简化直觉模糊命题逻辑的归结过程,基于直觉模糊命题逻辑归结原理的一般形式,提出了子句(αβ)-可满足和(αβ)-归结式的概念。研究了广义子句与其归结式的可满足性。在直觉模糊命题逻辑系统中给广义子句配锁,规定在做归结时各子句中被消去文字在该子句中的序号最小,由此建立了(αβ)-广义锁归结方法,并证明了该方法的可靠性和完备性。给出了直觉模糊逻辑的广义锁归结算法步骤,并通过实例说明了该方法的有效性。     

广义λ—调解

本文提出了算子模糊逻辑中的广义λ－调解方法，证明了它和广义λ－归结的联合使用，对于λＥ－不可满足广义子句集是完备的。     

广义λ－调解

本文提出了算子模糊逻辑中的广义λ－调解方法，证明了它和广义λ－归结的联合使用，对于λＥ－不可满足广义子句集是完备的．     

基于算子模糊逻辑的不确定程度计算

本文提出并比较了在信度语义下，计算算子模糊逻辑中公式（集）模糊程度的3种方法——归结法、广义归结法和TABLEAU方法．     

NC线性对称调解

本文提出了NC调解方法,证明了NC对称调解与NC归结的结合及广义对称调解与广义归结的结合的线性演绎都是完备的。     

基于算子模糊的不确定程度计算

本文提出并比较了在信度语义下，计算算子模糊逻辑中公式（集）模糊程度的３种方法－－归结法、广义归结法和ＴＡＢＬＥＡＵ方法。     

基于数学归纳法抽取循环程序研究

广义上,程序设计过程就是定理证明过程,因而程序综合与机器定理证明关系密切。由于归结原理的反证法本质,不能保证其证明是构造性的,因此不能保证能够抽取循环程序,但是利用数学归纳法可以使用归结原理来抽取循环体,从而抽取循环程序。文中利用数学归纳法进行了循环程序的提取。     

Multi-resolution modeling based on quotient space and DEVS

As simulation systems get more and more complex, the study of multi-resolution modeling (MRM) remains an exciting and fertile area of research. Contrasting its abundant successful use cases, a rigorous mathematical foundation is still lacking in MRM. In this paper, we propose a quotient space based multi-resolution modeling (QMRM) theory based on granular computing in artificial intelligence and on discrete-event system specification (DEVS) in modeling and simulation. Based on quotient sets, resolution, multi-resolution modeling and other related concepts are defined and a general concept framework is constructed. Based on the concepts of quotient set and natural projection, several MRM principles are derived. The internal consistency principle guarantees consistency among different perspectives of an atomic model, whereas the external consistency principle guarantees that different components in a coupled model are consistent. The false-preserving principle indicates that if a construction relation or state transformation relation of a component does not exist in a low resolution model, then the corresponding relations should not exist in its high resolution model. The true-preserving principle tells us that a high resolution model can be simplified by choosing the proper low resolution model. QMRM is not only a formal specification, but also a fundamental framework to understand MRM concepts, a guiding ideology to design specific MRM methods, and a modeling methodology to develop MRM systems. QMRM is created from a general simulation perspective, not limited by any specific application or problem domain aspects. The results of this paper can serve as a starting point for further study of multi-resolution problems in different domains.     

Increasing the accuracy of Time-of-Flight cameras for machine vision applications

Range imaging based on the Time-of-Flight (ToF) principle evolved largely in recent years. Especially, the lateral resolution, the ability to operate outdoors with sunlight and the sensitivity have been improved. Nevertheless, the acceptance of depth cameras for machine vision in the industry environment is still rather limited. The major shortcoming of ToF depth cameras compared to laser range scanners is their measuring accuracy, which is not sufficient for several applications. In this paper, we firstly introduce several state of the art depth cameras briefly and demonstrate their capabilities. Afterwards, we explore possibilities to increase the radial resolution and the accuracy of ToF depth cameras based on the Photonic Mixer Device (PMD). In general, the usage of higher modulation frequencies promises higher depth resolution but yields on the other hand higher noise levels. Moreover, the accuracy is limited by systematic errors and the measurement are affected by random noise and we show how to minimize and compensate them in industry environments.     

Universal abstract consistency class and universal refutation

Refutation methods based on the resolution principle are generally applied to a (finite)set of sentences,which must have a series of pre-transformations(prenex normalization,Skolemization and conjunction normalization)before starting the refutation.In this paper,the authors first generalize the concept of abstract consistency class to the most general form-universal abstract consistency class,and prove its universal univfying principle.Then,based on the R-refutation,a universal refutation method is proposed and its soundness and completeness are proved by means of the universal unifying principle.This method can be applied directly to any finite set of wffs sithout preprocessing the wffs at all so that the refutation procedure is more natural.     

The joint use of IHS transform and redundant wavelet decomposition for fusing multispectral and panchromatic images

Intensity hue saturation (IHS) and wavelet decomposition are two distinct fusion methods used for enhancing the spatial resolution of multispectral images by exploiting a high-resolution panchromatic image. In this paper, a combination of the IHS transform and redundant wavelet decomposition is proposed as a general method for fusing multisensor images. The principle consists of transforming low-resolution multispectral images into IHS independent components. The low-resolution intensity component is fused with the high-resolution panchromatic image in the redundant wavelet domain through an appropriate model. Subsequently, the high-resolution intensity produced is substituted to the low-resolution intensity. High spatial resolution multispectral images are then obtained through an inverse IHS transformation. SPOT images are used to illustrate the superiority of this approach over the IHS fuser in terms of preservation of spectral properties.     

格值命题逻辑系统L_9P(X)中的自动推理算法

给出了格值命题逻辑系统L9P(X)上的放缩原理和放缩归结原理,基于放缩归结原理,给出了一种判断L9P(X)上子句集S为M-可满足的自动推理算法(这里M为L9上的中界元),并证明了其可靠性和完备性。     

A resolution-like strategy based on a lattice-valued logic

As the use of nonclassical logics becomes increasingly important in computer science, artificial intelligence and logic programming, the development of efficient automated theorem proving based on nonclassical logic is currently an active area of research. This paper aims at the resolution principle for the Pavelka type fuzzy logic (1979). Pavelka showed that the only natural way of formalizing fuzzy logic for truth-values in the unit interval [0, 1] is by using the Lukasiewicz's implication operator a/spl rarr/b=min{1,1-a+b} or some isomorphic forms of it. Hence, we first focus on the resolution principle for the Lukasiewicz logic L/sub /spl aleph// with [0, 1] as the truth-valued set. Some limitations of classical resolution and resolution procedures for fuzzy logic with Kleene implication are analyzed. Then some preliminary ideals about combining resolution procedure with the implication connectives in L/sub /spl aleph// are given. Moreover, a resolution-like principle in L/sub /spl aleph// is proposed and the soundness theorem of this resolution procedure is also proved. Second, we use this resolution-like principle to Horn clauses with truth-values in an enriched residuated lattice and consider the L-type fuzzy Prolog.     

一种新型实用的PLL/DDS混合型短波频率合成器

文章介绍一种新型、实用的短波频率合成器。该频率合成器将国外最新的直接数字频率合成器(DDS)技术和传统的锁相环(PLL)技术有机地结合起来,与多环频率合成器相比,具有线路简洁、设计合理、频率转换速度快、可靠性高等优点;而与普通的单环频率合成器相比,具有更高的频率分辨率和更低的相位噪声。文中分析了该频率合成器的工作原理和设计注意事项,提出了具体的实施方案。     

测量轧制力的光纤传感系统的研制

研制了一种用于轧制力测量的光纤传感器,其传感头采用法布里-珀罗腔的结构。分析了该传感器的原理,导出了法布里 珀罗干涉腔反射光强与轧制力的关系表达式。实验结果表明,该方案测量准确度为0.18%,线应变灵敏度为1.2×104V,分辨力达到2.5×10-8。用该传感器测量轧制力是正确、可行的。     

三种归结原理间的相容性问题

语义归结、锁归结、线性归结是三种重要的关于归结原理的改进。本文给出如下结果:语义归结和锁归结在某种条件下是相容的;语义归结和线性归结是不相容的;线性归结和锁归结在某种条件下是相容的。显然,任意两种归结的相容方法是对原来两种归结方法的进一步改进。