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Modeling and applying credible interval intuitionistic fuzzy reciprocal preference relations in group decision making

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Journal of Systems Engineering and Electronics 2017年第2期28卷 301-314页

作者： Wei Zhou Zeshui Xu Business School Sichuan University International Business School Yunnan University of Finance and Economics

Intuitionistic fuzzy preference relations are powerful techniques used to express uncertain preference information. However, simultaneously providing the exact priority and non-priority intensities could be difficult in real applications. A credible interval intuitionistic fuzzy number (CIIFN) is introduced and a credible interval intuitionistic fuzzy reciprocal preference relation (CIIFRPR) is developed to solve this issue. Unlike intuitionistic fuzzy preference relations, the new preference relations use the CIIFNs to express the preference information such that the decision makers simply provide the priority intensity with interval-valued numbers and calculate the non-preference intensity with the transformed method, which avoids a complex evaluation of non-priority information. Furthermore, some basic operations and comparison laws are investigated, based on which three credible interval intuitionistic fuzzy aggregation operators are proposed. Two models are presented to manage the group decision-making. Finally, a practical case is used to demonstrate the feasibility and reasonability of the proposed preference relations and aggregation operators. ? 2017 Beijing Institute of Aerospace Information.

关键词： Fuzzy rules Fuzzy sets mathematical operators

Image denoising using least squares wavelet support vector machines

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Chinese Optics Letters 2007年第11期5卷 632-635页

作者：曾国平赵瑞珍 Institute of Information Science Beijing diaotong University Beijing 100044

We propose a new method for image denoising combining wavelet transform and support vector machines （SVMs）. A new image filter operator based on the least squares wavelet support vector machines （LSWSVMs） is presented. Noisy image can be denoised through this filter operator and wavelet thresholding technique. Experimental results show that the proposed method is better than the existing SVM regression with the Gaussian radial basis function （RBF） and polynomial RBF. Meanwhile, it can achieve better performance than other traditional methods such as the averaee filter and median filter.

关键词： mathematical operators Polynomials Support vector machines Wavelet transforms

Study of the normalized intensity correlation function of a single-mode laser system with colored cross-correlated noises

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Chinese Optics Letters 2007年第5期5卷 288-291页

作者：王兵吴秀清 Department of Physics and Mathematics Anhui University of Science and Technology

A single-mode laser system with colored cross-correlated additive and multiplicative noise terms is consid-ered. By the means of projection operator method, we study the effects of the cross-correlation time T and the cross-correlation intensity λ between noises on the normalized intensity correlation function C（s）. It is found that if λ〉0（λ〈0）, the normalized intensity correlation function C（s） increases （decreases） with increasing the cross-correlation time τ, and at large value of τ, the variation of the normalized intensity correlation function C（s） becomes small. With the increase of the net gain αo, C（s） exhibits a maximum when λ is larger. However, a minimum and a maximum appear on C（s） curves with the increase of ao when λ becomes smaller and smaller.

关键词： mathematical operators

Modified level set method with Canny operator for image noise removal

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Chinese Optics Letters 2010年第12期8卷 1127-1130页

作者：文鹏程王向军卫红 State Key Laboratory of Precision Measuring Technology and Instruments Tianjin University School of Systems Engineering University of Reading

The level set method is commonly used to address image noise removal. Existing studies concentrate mainly on determining the speed function of the evolution equation. Based on the idea of a Canny operator, this letter introduces a new method of controlling the level set evolution, in which the edge strength is taken into account in choosing curvature flows for the speed function and the normal to edge direction is used to orient the diffusion of the moving interface. The addition of an energy term to penalize the irregularity allows for better preservation of local edge information. In contrast with previous Canny-based level set methods that usually adopt a two-stage framework, the proposed algorithm can execute all the above operations in one process during noise removal.

关键词： Drop breakup Evolutionary algorithms Level measurement mathematical operators

Generation of cluster states in thermal cavity

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Chinese Optics Letters 2007年第6期5卷 364-366页

作者：陈美锋马宋设张晓岚 Department of Electronic Science and Applied Physics Fuzhou University

A scheme is reported for generating a multi-atom the simultaneous interaction of two two-level atoms cluster state in thermal cavities, which is based on with a single-mode cavity field driven by a classical field. The photon-number-dependent parts in the evolution operator are cancelled with the assistant of a strong classical field, so the scheme is insensitive to the thermal field. In the present scheme, the detuning between the atoms and the cavity is equal to the atom-cavity coupling strength, thus the operation speed is greatly improved, which is important in view of decoherence.

关键词： Couplings mathematical operators Photons

Fast algebra algorithm of shape-from-shading with specular reflectance

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Chinese Optics Letters 2007年第4期5卷 204-207页

作者：杨磊韩九强 School of Electronics and Information Engineering Xi'an Jiaotong University

Shape-from-shading （SFS） is to reconstruct three-dimensional （3D） shape from a single gray image, which is an important problem in computer vision. We propose a novel SFS method based on hybrid reflection model which contains both diffuse reflectance and specular reflectance. The intensity gradient of image is in the direction that the shape of surface changes most, so we use directional derivative of the reflectance map as parts of objective function. When discrete characteristic of digital images is considered, finite difference approximates differential operator. So the reflectance map equation described by a partial differential equation （PDE） turns into an algebra equation about the unknown surface height correspondingly. Using iterative numeric computation, a new SFS method is gained. Experiments on synthesis and real images show that the proposed SFS method is accurate and fast.

关键词： Algorithms Calculations Computer vision mathematical operators Partial differential equations Reflection Three dimensional

Normalized intensity correlation function of single-mode laser system driven by colored cross-correlation noises

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Chinese Optics Letters 2008年第4期6卷 288-290页

作者：王兵吴秀清 Department of Physics and Mathematics Anhui University of Science and Technology Huainan 232001

Considering a single-mode laser system with cross-correlated additive colored noise and multiplicative colored noise, we study the effects of correlation among noises on the normalized intensity correlation function C（s）. C（s） is derived by means of the projection operator method. The effects of the selfcorrelation time T1 of the additive colored noise, T2 of the multiplicative colored noise, and the effect of the cross-correlation time TO between the two noises on C（s） are discussed by numerical calculation. For the case of positive correlation （λ 〉 0）, it is found that when a0 〉 0 the normalized intensity correlation function C（s） increases with the increase of T0 or T2, and with value of T0 or T2 becoming larger, C（s） comes to saturation. With increasing the self-correlation time T1 of the additive noise, a minimum and a maximum will appear on curve of C（s） as a0 〉 0. If a0 〈 0, C（s） decreases with the increase of T0, T1, and T2.

关键词： Additive noise Calculations Laser modes mathematical operators Nonlinear optics Optical correlation

2-ORDER TURBULENCE CLOSURE PLANKTON ECOSYSTEM DYNAMICS MODEL AND ITS APPLICATION

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Journal of Hydrodynamics 2001年第3期13卷 17-23页

作者： Wan, Zhen-Wen Yuan, Ye-Li Qiao, Fang-Li State Oceanic Administration Qingdao 266003 China

The basic concepts of continuous neurogen dynamics, particle and continuous mass, were cited to describe plankton ecosystems, so a continuous neurogen dynamics model of plankton ecosystem was developed by logically reasoning with less ecological experiential relation. For precise parameterization of diffusion acted on plankton by hydrodynamics, the scheme of 2-order turbulence closure of geophysical fluid dynamics was generalized to enclose the equations of plankon ecosystem dynamics model. This model was applied to simulate a natural ecological process in Jiaozhou Bay. Comparison between simulation and data showed the exciting prognosis ability of this model.

关键词： Ecosystems mathematical operators Numerical analysis Simulation Turbulence

Multi-focus image fusion based on spatial frequency and morphological operators

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Chinese Optics Letters 2007年第8期5卷 452-453页

作者：扬斌李树涛 College of Electrical and Information Engineering Hunan University

A new multi-focus image fusion method using spatial frequency （SF） and morphological operators is proposed. Firstly, the focus regions are detected using SF criteria, Then the morphological operators are used to smooth the regions. Finally the fused image is constructed by cutting and pasting the focused regions of the source images. Experimental results show that the proposed algorithm performs well for multi-focus image fusion.

关键词： Algorithms Focusing mathematical operators