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	1. Fuzzy Rough Sets Based on Dominance Relations
	Xiao-yan Zhang
	Mathematics 05 January 2007
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	Abstract:This model for fuzzy rough sets is one of the most important parts in rough set theory. Moreover, it is based on an equivalence relation (indiscernibility relation). However, many systems are not only concerned with fuzzy sets, but also based on a dominance relation because of various factors in practice. To acquire knowledge from the systems, construction of model for fuzzy rough sets based on dominance relations is very necessary. The main aim to this paper is to study this issue. Concepts of the lower and the upper approximations of fuzzy rough sets based on dominance relations are proposed. Furthermore, model for fuzzy rough sets based on dominance relations is constructed, and some properties are discussed.
	TO cite this article:Xiao-yan Zhang. Fuzzy Rough Sets Based on Dominance Relations[OL].[ 5 January 2007] http://en.paper.edu.cn/en_releasepaper/content/10593


	2. Hysteresis loop and energy dissipation of viscoelastic solid models
	Li Yan,Xu Mingyu
	Mathematics 21 November 2006
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	Abstract:In this paper the process of changing and the tendency of hysteresis loop and energy dissipation of viscoelastic solid models were studied. One of the conclusions is that under certain conditions, the sign of (65) is a sufficient and necessary condition for judging the sign of the difference between dissipated energy in the (n+1)th period and nth period. It has been proved that the Boltzmann superposition principle also holds for inputted strain being constant on some domains. At the same time it was shown that for the fractional-order Kelvin model and under the condition of quasi-linear theory the above conclusions also hold.
	TO cite this article:Li Yan,Xu Mingyu. Hysteresis loop and energy dissipation of viscoelastic solid models[OL].[21 November 2006] http://en.paper.edu.cn/en_releasepaper/content/9741

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	3. A Mathematical Model of the Dynamics for anti-HBV Inferction Treatment with Peginterferon Alfa-2a
	lequan Min,weidong Li
	Mathematics 04 August 2006
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	Abstract:Based on the Based on the anti-HBV infection therapy clinical data of the Peginterferon Alfa-2a plus placebo for HBeAg-Positive chronic hepatitis B patients, this presentation establishes a mathematical model consisting of three differential equation systems in aim to describe and understand the dynamics of host cells, virus, the immune system, and predict long time curative effect.
	TO cite this article:lequan Min,weidong Li. A Mathematical Model of the Dynamics for anti-HBV Inferction Treatment with Peginterferon Alfa-2a[OL].[ 4 August 2006] http://en.paper.edu.cn/en_releasepaper/content/7813


	4. Iterative inverse in local-regions
	Zhao Shuangren
	Mathematics 29 June 2006
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	Abstract:A new iterative algorithm is introduced for a kind of inverse problem. An example of this kind of inverse problem is CT image reconstruction. The solution of non-iteration algorithm differs from the original object. The difference between the solution and original object is the error which is comprised of artifacts and noise. Compared to non-iteration algorithm, the refinement iterative inverse (RII) algorithm can reduce the artifacts but it increases the noise in the same time. Hence in general the quality of reconstructed image is not much improved. In other hand, the new iterative algorithm can reduce artifacts similar to the RII algorithm; however it does not increase the noise. Hence the image quality is improved a lot. The idea of the new iterative algorithm came from an iterative reconstruction and re-projection algorithm used in image reconstruction with limited field of view~(LFOV). This algorithm led to the iterative reconstruction in sub-regions (IRSR) in case the field of view(FOV) is unlimited. The sub-regions are square boxes. In this case there were cracks (or grid) between sub-regions. In order to eliminate the cracks, margins between sub-regions were introduced. Taking the sub-regions as small as only one pixel and keeping the margins led to the new iterative algorithm in this paper. It is referred as iterative inverse in local-regions (IILR). The error transfer function, artifact transfer function and filtering function are compared between the IILR algorithm and the RII algorithm. A simple example shows that the error obtained from the IILR algorithm is smaller than that obtained from non-iteration algorithm in the whole region, but the error obtained from the RII algorithm is smaller than non-iteration algorithm only at the vicinity of the image edges. It is proved that the RII algorithm is a special example of the IILR algorithm when the margin is taken as zero.
	TO cite this article:Zhao Shuangren . Iterative inverse in local-regions[OL].[29 June 2006] http://en.paper.edu.cn/en_releasepaper/content/7375


	5. Construction of wheelchair service simulation system in airports
	Dong Xu,Yu Rongfeng,Tao Yuebin
	Mathematics 13 June 2006
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	Abstract:The development of the air traffic system and the awareness of the protection of the rights for inconvenient people lead to the demand for wheelchair arrangement in airports. Aiming at minimizing the expense of the costs for sustaining the wheelchair service, we give a simulation model and constructed a model based on a gate to gate process. By detailed analysis we abstract the core model as a “gate to gate” problem with a given schedule and thus the question is to determine the wheelchair number and the dispatch strategy. Building state transition model and combining a skill of bipartite graph match algorithm we create a method for determine the wheelchair number. Specially, when the airport follows a centralized shape we also provide a quicker and more accurate traverse search algorithm with an O(n) time complexity. Our dispatching strategy is to get a longest event sequence in which no wheelchair would be free and we program in that period using depth-first-search algorithm to approximating the best strategy. Based on the prime models, we considered situation when waiting time for boarding is extremely long and customer would randomly ask for service. We abstract the concourse to a special gate to fulfill our model while implement a random service model solved by binomial distribution knowledge for the random service. By computer simulation we get concrete dispatching schedule and analyze the effect of factors as concourse numbers, service-needed population, traffic load and get a conclude that our model is universal and effective under varied circumstance. Further, our program show a cooperating between companies would enable every company to a 50% less need as the most. Our data gives a formula which enables one company to calculate the future wheelchair needed.
	TO cite this article:Dong Xu,Yu Rongfeng,Tao Yuebin. Construction of wheelchair service simulation system in airports[OL].[13 June 2006] http://en.paper.edu.cn/en_releasepaper/content/7114


	6. Fractional constitutive equations of viscoelastic materials involving three different parameters and their analytical solutions
	Liu Jiaguo ,Xu Mingyu
	Mathematics 12 January 2006
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	Abstract:Two fractional viscoelastic material models consisting of the fractional Voigt model (FVM) and the fractional Maxwell model (FMM) are considered. Their fractional constitutive equations involving three different parameters are derived due to the models
	TO cite this article:Liu Jiaguo ,Xu Mingyu . Fractional constitutive equations of viscoelastic materials involving three different parameters and their analytical solutions[OL].[12 January 2006] http://en.paper.edu.cn/en_releasepaper/content/4991


	7. Unsteady shear flow of a viscoelastic fluid with the fractional Maxwell model in rectangular tube
	Haitao Qi,Mingyu Xu
	Mathematics 17 November 2005
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	Abstract:In this paper, the unsteady flow of a viscoelastic fluid with the fractional derivative Maxwell model in rectangular tube is studied. The exact solutions are then obtained for the equations characterizing flows of such fluids under an arbitrary pressure gradient by the method of integral transforms (Fourier cosine transform and Laplace transform). Two special cases are discussed: flow due to a constant pressure gradient and flow due to a periodic one.
	TO cite this article:Haitao Qi,Mingyu Xu. Unsteady shear flow of a viscoelastic fluid with the fractional Maxwell model in rectangular tube[OL].[17 November 2005] http://en.paper.edu.cn/en_releasepaper/content/3678


	8. Hysteresis and Precondition of Fractional-order Viscoelastic Solid Models
	Li Yan,Xu Mingyu
	Mathematics 07 November 2005
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	Abstract:In this paper the hysteresis and precondition of fractional-order viscoelastic solid models were studied under the condition of loading and unloading of saw-tooth wave. It contains the monotonic and limit property of hysteresis and precondition. It was shown that the hysteresis loop
	TO cite this article:Li Yan,Xu Mingyu. Hysteresis and Precondition of Fractional-order Viscoelastic Solid Models[OL].[ 7 November 2005] http://en.paper.edu.cn/en_releasepaper/content/3535


	9. Some Results on Necessary Conditions for Quasidifferentiable MPEC
	Zun-Quan Xia,Chun-Ling Song,Li-Wei Zhang
	Mathematics 17 June 2005
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	Abstract:Two main results of necessary conditions of optimality for two kinds of problems, bilevel optimization and quasidifferentiable MPEC, are presented via Devyanov sum of quasidifferentials. Lagrange multipliers are independent of the choices of quasidifferentials and supergradients.
	TO cite this article:Zun-Quan Xia,Chun-Ling Song,Li-Wei Zhang. Some Results on Necessary Conditions for Quasidifferentiable MPEC[OL].[17 June 2005] http://en.paper.edu.cn/en_releasepaper/content/2224


	10. Existence for periodic $p$-Laplacian with nonlocal terms
	Qian Zhou,Yuanyuan Ke,Yi fu Wang,Jingxue Yin
	Mathematics 23 August 2004
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	Abstract:In this paper we study the existence of the non-trivial periodic solutions for $p$-Laplacian with nonlocal terms by the theory of Leray-Schauder's degree.
	TO cite this article:Qian Zhou,Yuanyuan Ke,Yi fu Wang, et al. Existence for periodic $p$-Laplacian with nonlocal terms[OL].[23 August 2004] http://en.paper.edu.cn/en_releasepaper/content/978

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