Multi-objective fuzzy particle swarm optimization based on elite archiving and its convergence

A fuzzy particle swarm optimization （PSO） on the basis of elite archiving is proposed for solving multi-objective optimization problems. First, a new perturbation operator is designed, and the concepts of fuzzy global best and fuzzy personal best are given on basis of the new operator. After that, particle updating equations are revised on the basis of the two new concepts to discourage the premature convergence and enlarge the potential search space; second, the elite archiving technique is used during the process of evolution, namely, the elite particles are introduced into the swarm, whereas the inferior particles are deleted. Therefore, the quality of the swarm is ensured. Finally, the convergence of this swarm is proved. The experimental results show that the nondominated solutions found by the proposed algorithm are uniformly distributed and widely spread along the Pareto front.     

Method for multiple attribute decision making based on incomplete linguistic judgment matrix

With respect to the multiple attribute decision making problems with linguistic preference relations on alternatives in the form of incomplete linguistic judgment matrix, a method is proposed to analyze the decision problem. The incomplete linguistic judgment matrix is transformed into incomplete fuzzy judgment matrix and an optimization model is developed on the basis of incomplete fuzzy judgment matrix provided by the decision maker and the decision matrix to determine attribute weights by Lagrange multiplier method. Then the overall values of all alternatives are calculated to rank them. A numerical example is given to illustrate the feasibility and practicality of the proposed method.     

An evaluation method of contribution rate based on fuzzy Bayesian networks for equipment system-of-systems architecture

The contribution rate of equipment system-of-systems architecture(ESoSA) is an important index to evaluate the equipment update, development, and architecture optimization.Since the traditional ESoSA contribution rate evaluation method does not make full use of the fuzzy information and uncertain information in the equipment system-of-systems(ESoS), and the Bayesian network is an effective tool to solve the uncertain information, a new ESoSA contribution rate evaluation method based on the fuzzy...     

Some new similarity measures for intuitionistic fuzzy values and their application in group decision making

We first propose a series of similarity measures for intuitionistic fuzzy values (IFVs) based on the intuitionistic fuzzy operators (Atanassov 1995). The parameters in the proposed similarity measures can control the degree of membership and the degree of non-membership of an IFV, which can reflect the decision maker’s risk preference. Moreover, we can obtain some known similarity measures when some fixed values are assigned to the parameters. Furthermore, we apply the similarity measures to aggregate IFVs and develop some aggregation operators, such as the intuitionistic fuzzy dependent averaging operator and the intuitionistic fuzzy dependent geometric operator, whose prominent characteristic is that the associated weights only depend on the aggregated intuitionistic fuzzy arguments and can relieve the influence of unfair arguments on the aggregated results. Based on these aggregation operators, we develop some group decision making methods, and finally extend our results to interval-valued intuitionistic fuzzy environment.     

装甲装备月份维修计划优化制订方法研究

分析装甲装备月份维修计划的制订目前存在的问题,通过研究任务与装甲装备月份维修计划之间的相关关系,提出了根据任务的强度确定维修时机为优化目标的维修计划优化模型,统筹考虑维修资源、规章制度等因素。经LINGO软件仿真验证,结果显示该模型能够极大化装备的使用效益,实现科学化、精确化的送修,以及对装备的集约化管理。

Abstract：

The problems were analyzed that lay in the formulation of the armored equipment month maintenance plan. Based on researches about the relationship between the mission and the month maintenance plan, a maintenance plan optimization formulation model was brought forward. The model took factors such as maintenance resources, rules and regulations into overall consideration, and selected maintenance opportunity based on the strength of the mission as optimization goal. The model was validated by LINGO simulation. The result shows that the model can not only maximize the use efficiency, but also realize the scientific and precise delivery and the intensive management of the equipment which needs preventive maintenance.     

Aggregation and decision making using intuitionistic multiplicative triangular fuzzy information

The intuitionistic triangular fuzzy set is a generalization of the intuitionistic fuzzy set. In practical applications, we find that the results derived by using the traditional intuitionistic triangular fuzzy aggregation operators based on intuitionistic triangular fuzzy sets are sometimes inconsistent with intuition. To overcome this issue, based on the [1/9, 9] scale, we define the concepts of intuitionistic multiplicative triangular fuzzy set and intuitionistic multiplicative triangular fuzzy number, and then we discuss their operational laws and some desirable properties. Based on the operational laws, we develop a series of aggregation operators for intuitionistic multiplicative triangular fuzzy information, and then apply them to propose an approach to multi-attribute decision making under intuitionistic fuzzy environments. Finally, we use a practical example involving the evaluation of investment alternatives of an investment company to demonstrate our aggregation operators and decision making approach.     

Rough similarity degree and rough close degree in rough fuzzy sets and the applications

Based on rough similarity degree of rough sets and close degree of fuzzy sets, the definitions of rough similarity degree and rough close degree of rough fuzzy sets are given, which can be used to measure the similar degree between two rough fuzzy sets. The properties and theorems are listed. Using the two new measures, the method of clustering in the rough fuzzy system can be obtained. After clustering, the new fuzzy sample can be recognized by the principle of maximal similarity degree.     

Research of robust adaptive trajectory linearization control based on T-S fuzzy system

A robust adaptive trajectory linearization control （RATLC） algorithm for a class of nonlinear systems with uncertainty and disturbance based on the T-S fuzzy system is presented. The unknown disturbance and uncertainty are estimated by the T-S fuzzy system, and a robust adaptive control law is designed by the Lyapunov theory. Irrespective of whether the dimensions of the system and the rules of the fuzzy system are large or small, there is only one parameter adjusting on line. Uniformly ultimately boundedness of all signals of the composite closed-loop system are proved by theory analysis. Finally, a numerical example is studied based on the proposed method. The simulation results demonstrate the effectiveness and robustness of the control scheme.     

Analysis of Influencing Factors of Technical Barriers on Information Product Exports Based on the Fuzzy AHP

To the actual situation of TBT impacting information product and according to the concept of the triangular fuzzy number, this paper forms the fuzzy matrix of factors of impacting export of information product, then uses the fuzzy AHP to analyze and rate factors. We put forward suggestions on how to keep away and surpass the technical barriers to trade in the information product enterprises.     

Image segmentation algorithm based on high-dimension fuzzy character and restrained clustering network

An image segmentation algorithm of the restrained fuzzy Kohonen clustering network （RFKCN） based on high- dimension fuzzy character is proposed. The algorithm includes two steps. The first step is the fuzzification of pixels in which two redundant images are built by fuzzy mean value and fuzzy median value. The second step is to construct a three-dimensional （3-D） feature vector of redundant images and their original images and cluster the feature vector through RFKCN, to realize image seg- mentation. The proposed algorithm fully takes into account not only gray distribution information of pixels, but also relevant information and fuzzy information among neighboring pixels in constructing 3- D character space. Based on the combination of competitiveness, redundancy and complementary of the information, the proposed algorithm improves the accuracy of clustering. Theoretical anal- yses and experimental results demonstrate that the proposed algorithm has a good segmentation performance.     

模糊优化问题中最优水平值的灰色综合评判方法

模糊优化问题的基本解法是根据最优水平截集的概念,将模糊优化转化为常规优化,再用常规优化方法求解,这种解法的关键是确定最优水平值．本文基于灰色理论,提出了模糊优化问题中最优水平值的灰色多层次综合评判模型,克服了一般综合评判法常常丢失信息的不足．实例表明,该模型计算简便、科学合理、可信性强,是确定模糊优化问题中最优水平值的一条新途.     

基于智能优化算法的T-S模糊模型辨识

将智能算法应用在T-S模糊模型的辨识方面,是模糊系统辨识的一种新途径。文中对几种智能优化算法,如遗传算法(genetic algorithm, GA)、粒子群(particle swarm optimization, PSO)算法、菌群优化(bacterial foraging optimization, BFO)算法等的优化原理和在模糊辨识方面的应用现状进行了综述和分析,并给出了它们在T-S模糊模型辨识中对参数进行优化的过程。最后将这些优化方法用于一非线性动态系统的建模,并对仿真结果进行了对比和详细的分析,为进一步了解这几种优化方法在模糊模型辨识参数优化方面的作用提供了仿真实验依据。     

模糊指派问题求解方法研究

讨论了模糊指派问题的求解方法 ,并给出了求解两模糊数差值的模糊方程解的定义 .基于此定义将传统指派问题的匈牙利法进行了推广 .并结合一算例进行了说明 .本文所讨论的模糊方程解 ,可用于确定模糊工序时间的工程项目网络计划计划问题中的关键路线 .     

基于遗传算法的模糊优化研究

针对约束条件、系数和优化变量均为模糊数形式的线性和非线性全模糊优化问题 ,利用模糊数积分排序方法 ,提出了基于遗传算法的模糊优化问题求解方法 ,在该方法中对优化变量采用模糊数编码(每个变量用三个实数编码 ,对应三角模糊数中的 a,b,c) ,最后通过全模糊线性和非线性优化算例 ,验证了方法的有效性.     

不确定条件下的含存储时间有限的FlwoShop生产调度

针对企业中的不确定性因素 ,研究了不确定条件下的 Flow Shop生产调度问题 ,建立了基于模糊规划理论的模糊处理时间下的含存储时间有限型中间储罐的 Flow Shop的调度模型 ,将“中间值最大隶属度”算法从线性推广到非线性的调度模型中来 ,将模糊的优化问题转换为普通的优化问题 ,最后结合模拟退火算法 ( SA)进行优化求解 ,仿真结果证明了采用该算法的可行性     

基于模糊随机规划的反TBM目标分配优化模型

针对反导目标分配优化问题中存在的不确定性特征,引入模糊随机规划理论.首先建立了基于模糊随机规划的反战术弹道导弹(tactical ballistic missile,TBM)的目标分配优化模型.在此基础上,构建了一种针对多约束目标分配问题的粒子编码方案,并改进传统粒子群算法的位置和速度更新方式,提出了改进型离散粒子群(improve discrete particle swarm optimization,IDPSO)算法.最后,设计了模糊随机模拟技术和IDPSO算法相结合的混合智能求解算法.仿真实例表明,混合智能算法全局寻优能力强,优化效率高,满足反TBM目标分配优化对时效性的要求.     

基于局部信息的滚动优化与机器人路径规划

文献[4]中提出了模糊优化的方法并应用于基于滚动机理的机器人路径规划。但在遇到某些特殊情况时会出现振荡问题而导致机器人不能到达终点。本文中提出了基于系统局部信息的滚动模糊优化算法，在模糊优化过程中引入了历史信息，通过增加新的和历史信息相关的约束，保证了所选择的局部子目标与全局目标的一致性，解决了上述振荡问题。并在MATLAB平台上进行了仿真，仿真结果证明了本算法的有效性。     

求解模糊需求车辆路径问题的两阶段变邻域禁忌搜索算法

模糊需求车辆路径问题(CVRPFD)是对带容量约束车辆路径问题(CVRP)的扩展,属于经典的NP难题,其求解与需求确定CVRP区别较大,较为复杂,具有很强的理论和现实意义.基于先预优化后重调度的思想,提出一种新的两阶段变邻域禁忌搜索算法(VNTS)对其求解:在预优化阶段,基于可信性理论构建模糊机会约束优化模型处理客户点模糊需求,设计VNTS求解预优化方案;在重调度阶段,设计随机模拟算法模拟客户点实际需求,提出一种新的点重调度策略对预优化方案进行调整.算例实验表明两阶段变邻域禁忌搜索算法是一种求解CVRPFD的有力工具,点重调度策略调整效果较佳.     

一种T-S模糊系统建模方法

T-S模糊系统被广泛应用于基于数据的建模应用中。模糊规则作为系统的核心,是影响系统性能的重要因素。在分析常见模糊系统建模方法的基础上,提出一种简单有效的建模方法。该算法基于变结构模糊建模思想,均匀选择模型的初始结构,以绝对误差为建模指标,通过增加模糊规则来提高T-S模糊系统的精度。为降低规则参数辨识的计算量,提高建模速度,将规则参数分为线性和非线性两部分,分别采用不同方法进行辨识。实例证明文中所提出的建模方法规则分布合理,收敛速度快,建模精度高,具有很好的实际应用价值。     

基于改进粒子群-模糊神经网络的短期电力负荷预测

为了提高短期电力负荷预测精度,提出了改进的粒子群-模糊神经网络混合优化算法.用改进的粒子群训练神经网络,实现了模糊神经网络参数优化.建立了基于该优化算法的短期负荷预测模型,综合考虑气象、天气、日期类型等影响负荷的因素,利用贵州电网历史数据进行短期负荷预测.仿真表明,该方法的收敛速度和预测精度优于传统模糊神经网络法、BP神经网络法、粒子群-BP算法和粒子群-模糊神经网络方法,该优化算法克服了神经网络和粒子群优化方法的缺点,改善了模糊神经网络的泛化能力,提高了电网短期负荷预测的精度,各日预测负荷的平均百分比误差可控制在1.2%以内.该算法可有效用于电力系统的短期负荷预测.