FOURIER PSEUDOSPECTRAL－FINITE DIFFERENCE METHOD FOR TWO－DIMENSIONAL VORICITY EQUATION

ＦＯＵＲＩＥＲＰＳＥＵＤＯＳＰＥＣＴＲＡＬ－ＦＩＮＩＴＥＤＩＦＦＥＲＥＮＣＥＭＥＴＨＯＤＦＯＲＴＷＯ－ＤＩＭＥＮＳＩＯＮＡＬＶＯＲＩＣＩＴＹＥＱＵＡＴＩＯＮ￥ＧＵＯＢＥＮＹＵ；ＸＩＯＮＧＹＵＥＳＨＡＮ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，...     

SUBJECTIVE RADE-OFF RATE METHOD OF MULTIOBJECTIVE DECISION-MAKING

ＳＵＢＪＥＣＴＩＶＥＲＡＤＥ－ＯＦＦＲＡＴＥＭＥＴＨＯＤＯＦＭＵＬＴＩＯＢＪＥＣＴＩＶＥＤＥＣＩＳＩＯＮ－ＭＡＫＩＮＧ￥ＷａｎｇＸｉａｎｊｉａ（王先甲）（ＷｕｈａｎＵｎｉｖｅｒｓｉｔｙｏｆＨｙｄｒａｕｌｉｃａｎｄＥｌｅｃｔｒｉｃＥｎｇｉｎｅｅｒｉｎｇ...     

加权最小绝对偏差法的搜索解法

加权最小绝对偏差法的搜索解法李显方（中南工业大学）ＳＥＡＲＣＨＭＥＴＨＯＤＯＦＷＥＩＧＨＴＥＤＬＥＡＳＴＡＢＳＯＬＵＴＥＤＥＶＩＡＴＩＯＮＳＭＥＴＨＯＤ￥ＬｉＸｉａｎ－ｆａｎｇ（ＣｅｎｔｒａｌＳｏｕｔｈＵｎｉｖｅｒｓｉｔｙｏｆＴｅｃｈｎｏｌｏｇｙ，Ｃ...     

THE MAXIMUM AND MINIMUM SOLUTIONS OF NONLINEAR INTEGRODIFFERENTIAL EQUATIONS OF MIXED TYPE WITH IMPULSES IN BANACH SPACES

ＴＨＥＭＡＸＩＭＵＭＡＮＤＭＩＮＩＭＵＭＳＯＬＵＴＩＯＮＳＯＦＮＯＮＬＩＮＥＡＲ　ＩＮＴＥＧＲＯＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＯＦＭＩＸＥＤＴＹＰＥＷＩＴＨＩＭＰＵＬＳＥＳＩＮＢＡＮＡＣＨＳＰＡＣＥＳＬｉｕＷｅｉａｎ（刘伟安）（Ｗｕｈａｎ...     

TWO-DIMENSIONAL SINGULAR INTEGRAL EQUATIONS OF THE HYPERCOMPLEX FUNCTIONS

ＴＷＯ－ＤＩＭＥＮＳＩＯＮＡＬＳＩＮＧＵＬＡＲＩＮＴＥＧＲＡＬＥＱＵＡＴＩＯＮＳＯＦＴＨＥＨＹＰＥＲＣＯＭＰＬＥＸＦＵＮＣＴＩＯＮＳ（刘春根）￥ＬｉｕＣｈａｎｇｅｎ（Ｄｅｐｔ．ｏｆＭａｔｈＮａｎｋａｉＵｎｉｖ．，Ｔｉａｎｊｉｎ５００７１，Ｃｈｉｎａ．...     

THE LIMIT CIRCLE CRITERION OF THE SECOND ORDER NONHOMOGENEOUS FUNCTIONAL DIFFERENTIAL EQUATIONS

ＴＨＥＬＩＭＩＴＣＩＲＣＬＥＣＲＩＴＥＲＩＯＮＯＦＴＨＥＳＥＣＯＮＤＯＲＤＥＲＮＯＮＨＯＭＯＧＥＮＥＯＵＳＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＸｕＺｈｉｔｉｎｇ（徐志庭）＆ＸｉｎｇＨｏｎｇｙａｎ（邢鸿雁）（Ｇｕａｎｇｄｏｎ...     

THE GENERAL SCHEME FOR HIGHER－ORDER DECOMPOSITIONS OF ZERO－CURVATURE EQUATIONS ASSOCIATED WITH■（2）

ＴＨＥＧＥＮＥＲＡＬＳＣＨＥＭＥＦＯＲＨＩＧＨＥＲ－ＯＲＤＥＲＤＥＣＯＭＰＯＳＩＴＩＯＮＳＯＦＺＥＲＯ－ＣＵＲＶＡＴＵＲＥＥＱＵＡＴＩＯＮＳＡＳＳＯＣＩＡＴＥＤＷＩＴＨ■（２）￥ＺＥＮＧＹＵＮＢＯ（曾云波）（ＤｅｐｏｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａ...     

THE CONVERGENCE OF GLOWINSKI'S ALGORITHM FOR ELLIPTIC PROBLEMS

ＴＨＥＣＯＮＶＥＲＧＥＮＣＥＯＦＧＬＯＷＩＮＳＫＩ＇ＳＡＬＧＯＲＩＴＨＭＦＯＲＥＬＬＩＰＴＩＣＰＲＯＢＬＥＭＳＣＨＵＤＥＬＩＮ（储德林）；ＨＵＸＩＡＮＣＨＥＮＧ（胡显承）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｔｓｉｎｇ－Ｈｕ...     

THE COMPLEX OSCILLATION OF NON－HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS WITH INFINITE ORDER ENTIRE COEFFICIENTS

ＴＨＥＣＯＭＰＬＥＸＯＳＣＩＬＬＡＴＩＯＮＯＦＮＯＮ－ＨＯＭＯＧＥＮＥＯＵＳＬＩＮＥＡＲＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＩＮＦＩＮＩＴＥＯＲＤＥＲＥＮＴＩＲＥＣＯＥＦＦＩＣＩＥＮＴＳ￥ＬｉＸｉａｎｙｕ（李贤瑜）（ＪｉａｎｇｘｉＮｏｒ...     

高维有限元空间中的谱基

高维有限元空间中的谱基施锡泉（大连理工大学数学科学研究所）ＡＣＯＮＳＴＲＵＣＴＩＶＥＭＥＴＨＯＤＯＦＨＩＧＨ－ＤＩＭＥＮＳＩＯＮＡＬＨＩＥＲＡＲＣＨＩＣＡＬＢＡＳＩＳ￥ＳｈｉＸｉ－ｑｕａｎ（Ｉｎｓｔ．ｏｆＭａｔｈ．，ＤａｌｉａｎＵｎｉｖｅｒｓｉｔｙｏ...     

非线性不等式与等式约束的多目标规划问题的区间极大熵方法

利用极大熵方法将带多个非线性不等式约束和多个非线性等式约束的多目标规划问题变为两个非线性不等式约束的单个可微的目标函数优化问题,并结合区间分析知识给出一种新的解决多目标规划问题的区间方法.     

多目标规划的光滑同伦方法

本文给出了求解多目标规划的一种连续同伦方法 .首先 ,运用光滑熵函数将多目标多约束的问题化为单目标单约束的问题 ,然后构造了求解单目标问题的同伦方法 ,并证明了其大范围收敛性 .     

关于多目标数学规划的最优性条件

本文讨论定义于Ｂａｎａｃｈ空间的多目标数学规划，得到一些ε－最优解和（弱）有效解的必要条件，充分条件和必要充分条件。     

An Interval-Parameter Fuzzy Approach for Multiobjective Linear Programming Under Uncertainty

An interval-parameter fuzzy linear programming method (IFMOLP) is proposed in this study for multiple objective decision-making under uncertainty. As a hybrid of interval-parameter and fuzzy methodologies, the IFMOLP incorporates interval-parameter linear programming and fuzzy multiobjective programming approaches to form an integrated optimization system. The method inherits advantages of interval-parameter programming, and allows uncertainties and decision-makers’ aspirations to be effectively communicated into its programming processes and resulting solutions. Membership functions for both objectives and constraints are formulated to reflect uncertainties in different system components and their interrelationships. An interactive solution procedure has been developed based on solution approaches of the interval-parameter and fuzzy programming techniques, plus necessary measures for handling the multiobjective feature. A didactic example is provided in the paper to illustrate the detailed solution process. Possibilities of further improvements by seeking Pareto optimum and incorporating flexible preference within constraints are also discussed.     

A system model for the utilization of mineral resources

A multiobjective dynamic optimization model is described for the optimal utilization of mineral resources. The special forms of the objective functions, state-transition relations, and additional constraints satisfy the conditions for using a special dynamic multiobjective programming method. A case study is also outlined.     

On fuzzy random multiobjective quadratic programming

In this paper, a multiobjective quadratic programming problem having fuzzy random coefficients matrix in the objective and constraints and the decision vector are fuzzy pseudorandom variables is considered. First, we show that the efficient solutions of fuzzy quadratic multiobjective programming problems are resolved into series-optimal-solutions of relative scalar fuzzy quadratic programming. Some theorems are proved to find an optimal solution of the relative scalar quadratic multiobjective programming with fuzzy coefficients, having decision vectors as fuzzy variables. At the end, numerical examples are illustrated in the support of the obtained results.     

A multiobjective based approach for mathematical programs with linear flexible constraints

In this paper a mathematical problem with linear flexible constraints is considered. In order to solve the problem an approach is proposed based on multiobjective linear programming. Indeed, allowing violations for the constraints, and using multiobjective linear programming to minimize these violations, a subset of solution set which has less violations, namely efficiently feasible set, is obtained. Then, the corresponding objective function is optimized over efficiently feasible set in order to obtain an optimal solution. An application of the proposed approach in pattern classification is introduced.     

Optimality and Duality in Nondifferentiable and Multiobjective Programming under Generalized d-Invexity

In this paper, we are concerned with the nondifferentiable multiobjective programming problem with inequality constraints. We introduce four new classes of generalized d-type-I functions. By utilizing the new concepts, Antczak type Karush-Kuhn-Tucker sufficient optimality conditions, Mond-Weir type and general Mond-Weir type duality results are obtained for non-differentiable and multiobjective programming.     

Higher-order Mond-Weir converse duality in multiobjective programming involving cones

In this work,we established a converse duality theorem for higher-order Mond-Weir type multiobjective programming involving cones.This flls some gap in recently work of Kim et al.[Kim D S,Kang H S,Lee Y J,et al.Higher order duality in multiobjective programming with cone constraints.Optimization,2010,59:29–43].     

A class of multiobjective linear programming model with fuzzy random coefficients

The aim of this paper is to deal with a multiobjective linear programming problem with fuzzy random coefficients. Some crisp equivalent models are presented and a traditional algorithm based on an interactive fuzzy satisfying method is proposed to obtain the decision maker’s satisfying solution. In addition, the technique of fuzzy random simulation is adopted to handle general fuzzy random objective functions and fuzzy random constraints which are usually hard to be converted into their crisp equivalents. Furthermore, combined with the techniques of fuzzy random simulation, a genetic algorithm using the compromise approach is designed for solving a fuzzy random multiobjective programming problem. Finally, illustrative examples are given in order to show the application of the proposed models and algorithms.