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ON (∈,∈ ∨q)-FUZZY FILTERS OF BL-ALGEBRAS

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Journal of Systems Science & Complexity 2008年第1期21卷 144-158页

作者： Xueling MA Jianming ZHAN department of mathematics Hubei Institute for Nationalities Enshi 445000 China.

The authors introduce the notions of （∈, ∈ ∨q）-fuzzy Boolean （implicative, positive implicative, and fantastic） filters in BL-algebras, present some characterizations on these generalized fuzzy filters, and describe the relations among these generalized fuzzy filters. It is proved that an （∈, ∈ ∨q）fuzzy filter in a BL-algebra is Boolean （implicative） if and only if it is both positive implicative and fantastic.

关键词： BL-algebra filter (∈ ∈ ∨q)-fuzzy Boolean (implicative positive implicative and fantastic) filter.

ON FUZZY h-IDEALS OF HEMIRINGS

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Journal of Systems Science & Complexity 2007年第3期20卷 470-478页

作者： Xueling MA and Jianming ZHAN department of mathematics Hubei Institute for Nationalities Enshi 445000 China.

The concept of quasi-coincidence of a fuzzy interval value in an interval valued fuzzy set is considered. In fact, this concept is a generalized concept of the quasi-coincidence of a fuzzy point in a fuzzy set. By using this new concept, the authors define the notion of interval valued （∈, ∈ Vq）fuzzy h-ideals of hemirings and study their related properties. In addition, the authors also extend the concept of a fuzzy subgroup with thresholds to the concept of an interval valued fuzzy h-ideal with thresholds in hemirings.

关键词： Hemirings h-ideals interval valued (∈ ∈ Vq)-fuzzy h-ideals interval valued fuzzy h-ideals with thresholds.

Linearized Oscillations in Nonlinear Delay Difference Equations

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Acta Mathematica Sinica,English Series 1999年第4期15卷 569-574页

作者： Sanyi Tang department of Computer and mathematics,hubei {3. for nationalities,enshi 445000,P.R.chinaYanni Xiao {3. of mathematics,Academia Sinica,Beijing 100080,P.R.china E-mail:xyn@math03.math.ac.cnJufang Chen department of mathematics,Shanxi Normal University,Xi’an 710062,P.R.china department of Computer and mathematics Hubei Institute for Nationalities Enshi P. R. China institute of mathematics Academia Sinica Beijing P. R. China department of mathematics Shanxi Normal University Xi’an P. R. China

Consider the nonlinear delay difference equation xn+1-xn+sum j=1 to m pjfj（xn-kj）=0. We establish a linearized oscillation result of this equation,which is the extension of the result in the paper [1].

关键词： Delay difference equation Oscillatory Nonoscillatory

PERMANENCE AND PERIODIC SOLUTION OF NONAUTONOMOUS DELAY LOTKA-VOLTERRA DIFFUSION SYSTEM

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Systems Science and Mathematical Sciences 1999年第4期12卷 344-349页

作者： XIAO Yanni(institute of mathematics, Academia Sinica, Beijing 100080, china)WANG Weidong(Deportment of mathematics and Computer hubei institute for nationalities, enshi 445000, china)CHEN Jufang(department of mathematics, Shaanxi Normal University, Xi’an 中科院数学所北京 100080 湖北民族学院数学和计算机系湖北恩施 445000 陕西师范大学数学系陕西西安 710062

This paper analyzes permanence, existence and global attractivity of positiveperiodic solution in nonautonomous delay diffusive Lotka-Volterra competitive system fora patchstyle environment, by applying the invariant ... 详细信息

关键词： Permanence ultimately bounded domain diffusion rate periodic solution global attractivity.

On the periodic solutions of a type of differential-iterative equations

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Chinese Science Bulletin 1998年第3期43卷 204-206页

作者： GE Weigao 1, LIU Zhengrong 2 and YU Yuanhong 3.1. department of Applied mathematics, Beijing institute of Technology, Beijing 100081,{3. 2. department of mathematics, Yunnan University, Kunming 650091,{3. 3. institute of Applied mathematics, C department of Applied mathematics Beijing Institute of Technology Beijing China department of mathematics Yunnan University Kunming China institute of Applied mathematics Chinese Academy of Sciences Beijing China

Sufficient conditions for the existence of periodic solutions to a type of nonautonomous differential_iterative equations are given.

关键词： differential_iterative equation periodic solution fixed point.

The first cohomology group of trivial extensions of special biserial algebras

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Science china mathematics 2004年第4期47卷 578-592页

作者： XU Yungedepartment of mathematics & Computer Sciences, hubei University, Wuhan 43.062,{3. 1. department of mathematics & Computer Sciences Hubei University 430062 Wuhan China 2. institute of mathematics Chinese Academy of Sciences 100080 Beijing China

Given a finite dimensional special biserial algebra A with normed basis we obtain the dimension formulae of the first Hochschild homology groups of A and the vector space Alt(DA). As a consequence, an explicit dimension formula of the first Hochschild cohomology group of trivial extension TA = A × DA in terms of the combinatorics of the quiver and relations is determined.

关键词： Hochschild (co)homology, trivial extension, special biserial algebra.

CMC surfaces in the hyperbolic 3.space

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Chinese Science Bulletin 1998年第7期43卷 547-550页

作者： YU Zuhuan 1, 2 and LI Zhenqi 1, 3.1. institute of mathematics, Fudan University, Shanghai 20043., china 2. {3. of mathematics,Sichuan Union University, Chengdu 610064, china 3. department of mathematics, Nanchang University, Nanchang 3. nstitute of Mathemalics Fudan University Shanghai China department of mathematics Sichuan Union University Chengdu China department of mathematics Nanchang University Nanchang China

CMC-H surfaces satisfying H≥1 are studied. It is proved that these surfaces possess a natural representation which is a generalization of the Bryant’s result.

关键词： hyperbolic space CMC surface Weierstrass representation.

Multi-spectral image fusion method based on two channels non-separable wavelets

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Science in china(Series F) 2008年第12期51卷 2022-2032页

作者： LIU Bin1,2 & PENG JiaXiong3.1 School of mathematics and Computer Science, hubei University, Wuhan 43.062, china 2 Key Laboratory of Applied mathematics of hubei Province, Wuhan 43.062, china 3.institute of Image Recognition and Artificial Intelligence, Huazhong University of Science and Technology, Wuhan 43.074, china 1. School of mathematics and Computer Science Hubei University Wuhan 430062 China 2. Key Laboratory of Applied mathematics of hubei Province Wuhan 430062 China 3. institute of Image Recognition and Artificial Intelligence Huazhong University of Science and Technology Wuhan 430074 China

A construction method of two channels non-separable wavelets filter bank which dilation matrix is [1, 1; 1,-1] and its application in the fusion of multi-spectral image are presented. Many 4×4 filter banks are designed. The multi-spectral image fusion algorithm based on this kind of wavelet is proposed. Using this filter bank, multi-resolution wavelet decomposition of the intensity of multi-spectral image and panchromatic image is performed, and the two low-frequency components of the intensity and the panchromatic image are merged by using a tradeoff parameter. The experiment results show that this method is good in the preservation of spectral quality and high spatial resolution information. Its performance in preserving spectral quality and high spatial information is better than the fusion method based on DWFT and IHS. When the parameter t is closed to 1, the fused image can obtain rich spectral information from the original MS image. The amount of computation reduced to only half of the fusion method based on four channels wavelet transform.

关键词： image fusion non-separable wavelets multi-spectral image panchromatic image

Morphological Evolution of Nb_2O_5 in a Solvothermal Reaction: From Nb_2O_5 Grains to Nb_2O_5 Nanorods and Hexagonal Nb_2O_5 Nanoplatelets

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Journal of Wuhan University of Technology(Materials Science) 2009年第2期24卷 245-248页

作者：胡卫兵 School of Chemical and Environmental Engineering Hubei Institute for Nationalities department of Physics Huazhong University of Science and Technology

Novel Nb2O5 nanorods and polygonal Nb2O5 platelets were generated by a simple solvothermal technique. The geometry evolution of the resultant Nb2O5 from amorphous nanoparticles to crystallized particles, from polygonal platelets to well-elongated nanorods was been studied in detail. The processing parameters, including the reaction temperature, reaction time, concentration of the precursors, and pH value of the solution, which affect the shape and size of the nanorods, were investigated. The Nb2O5 nanorods with different aspect ratios were examined by XRD, SEM and TEM. The experimental results show that Nb2O5 nanorod is the orthorhombic structure and well-crystallized. The growth of the nanorods follows their [001] direction. The successful generation of high quality Nb2O5 nanorods is not only important for transition metal oxide research, but also potentially important for further formation of new Nb-based 1-D nanostructures, such as NbS2 and NbN.

关键词： solvothermal morphological evolution Nb2O5 nanomateraials