Solving Multi-Objective Linear Programming Problem by Statistical Averaging Method with the Help of Fuzzy Programming Method

A multi-objective linear programming problem is made from fuzzy linear programming problem. It is due the fact that it is used fuzzy programming method during the solution. The Multi objective linear programming problem can be converted into the single objective function by various methods as Chandra Sen’s method, weighted sum method, ranking function method, statistical averaging method. In this paper, Chandra Sen’s method and statistical averaging method both are used here for making single objective function from multi-objective function. Two multi-objective programming problems are solved to verify the result. One is numerical example and the other is real life example. Then the problems are solved by ordinary simplex method and fuzzy programming method. It can be seen that fuzzy programming method gives better optimal values than the ordinary simplex method.

Aggregation operators and CRITIC-VIKOR method for confidence complex q-rung orthopair normal fuzzy information and their applications

Supply chain management is an essential part of an organisation's sustainable programme.Understanding the concentration of natural environment,public,and economic influence and feasibility of your suppliers and purchasers is becoming progressively familiar as all industries are moving towards a massive sustainable potential.To handle such sort of developments in supply chain management the involvement of fuzzy settings and their generalisations is playing an important role.Keeping in mind this role,the aim of this study is to analyse the role and involvement of complex q-rung orthopair normal fuzzy(CQRONF)information in supply chain management.The major impact of this theory is to analyse the notion of confidence CQRONF weighted averaging,confidence CQRONF ordered weighted averaging,confidence CQRONF hybrid averaging,confidence CQRONF weighted geometric,confidence CQRONF ordered weighted geometric,confidence CQRONF hybrid geometric operators and try to diagnose various properties and results.Furthermore,with the help of the CRITIC and VIKOR models,we diagnosed the novel theory of the CQRONF-CRITIC-VIKOR model to check the sensitivity analysis of the initiated method.Moreover,in the availability of diagnosed operators,we constructed a multi-attribute decision-making tool for finding a beneficial sustainable supplier to handle complex dilemmas.Finally,the initiated operator's efficiency is proved by comparative analysis.

Solving Fuzzy Multi-Objective Linear Programming Problem by Applying Statistical Method

In this paper, the statistical averaging method and the new statistical averaging methods have been used to solve the fuzzy multi-objective linear programming problems. These methods have been applied to form a single objective function from the fuzzy multi-objective linear programming problems. At first, a numerical example of solving fuzzy multi-objective linear programming problem has been provided to validate the maximum risk reduction by the proposed method. The proposed method has been applied to assess the risk of damage due to natural calamities like flood, cyclone, sidor, and storms at the coastal areas in Bangladesh. The proposed method of solving the fuzzy multi-objective linear programming problems by the statistical method has been compared with the Chandra Sen’s method. The numerical results show that the proposed method maximizes the risk reduction capacity better than Chandra Sen’s method.

模糊c-均值聚类法在干港选址中的应用

合理的干港选址,对于区域经济发展起着至关重要的作用。根据干港规划布局的影响因素,引入模糊c-均值聚类法,来验证干港选址的合理性。

Robust fault detection for delta operator switched fuzzy systems with bilateral packet losses

Considering packet losses, time-varying delay, and parameter uncertainty in the switched fuzzy system, this paper designs a robust fault detection filter at any switching rate and analyzes the H∞ performance of the system. Firstly, the Takagi-Sugeno(T-S) fuzzy model is used to establish a global fuzzy model for the uncertain nonlinear time-delay switched system,and the packet loss process is modeled as a mathematical model satisfying Bernoulli distribution. Secondly, through the average dwell time method and multiple Lyapunov functions, the exponentially stable condition of the nonlinear network switched system is given. Finally, specific parameters of the robust fault detection filter can be obtained by solving linear matrix inequalities(LMIs). The effectiveness of the method is verified by simulation results.

Fuzzy Synthetic Evaluation Model for Smart Washing Machine

Generally fuzzy control system (FCS) is worked in washing machine. For the fuzzy set theory, membership functions are the building blocks. In a fuzzy set, fuzziness is determined by its membership functions. The shapes of membership functions are important, because it has an effect on fuzzy inference system. The shapes of membership functions can be triangular, trapezoidal and gaussian. The most widely used triangular membership function is used in this paper, because it can capture the short time period. In washing machine, open loop control system is found. This paper applies a fuzzy synthetic evaluation method (FSEM) for washing cloth in washing machine as FSEM can handle the multiple criteria with the help of evaluation matrix generated from membership function and weight matrix generated by Analytical Hierarchy Process (AHP). The purpose of this research is to minimize the wash time. By applying FSEM, we get a wash time which is less than that wash time got from applying the Mamdani approach in FCS. An example is given for illustration. For more reduction of wash time, statistical averaging method is also used. To reduce the wash time, statistical averaging method can be used in Mamdani approach also.

具有最大项的模糊微分包含的平均法

通过引入模糊映射的定义,性质以及半离差概念,应用不等式技巧和Filippov定理,讨论了具有最大项的模糊微分包含解的平均问题,分别给出了右端模糊函数平均极限存在和不存在两种情况下,模糊微分包含和模糊平均包含的解之间的近似关系.

基于新图模糊距离的EDAS决策方法及其应用

研究决策信息为图模糊集的多属性决策问题。首先,针对现有图模糊距离的不足,定义了含参数的弃权度的分配,同时结合一致性概念提出了反映决策者风险偏好的图模糊距离,通过数值算例将新图模糊距离与现有图模糊距离进行比较分析,验证其优越性。其次,针对属性权重,采用博弈论组合赋权法对熵权法确定的客观权重和决策者给出的主观权重进行组合优化。在此基础上,将新图模糊距离拓展到一种离平均方案距离的决策方法(EDAS),并运用新图模糊距离计算各方案与平均方案的正、负距离加权和,进而得到综合得分。最后,通过算例来验证所提决策方法的适用性和有效性。灵敏度与对比分析结果表明:决策者可以依据自身风险偏好调整参数的取值来满足不同的决策需求;所提方法相较于其他现有决策方法更具一般性与灵活性,所得排序结果更加合理。

优化模糊综合评价模型在水质评价中的应用

基于熵权法和层次分析法,并采用博弈论,将主客观权重相结合,确定了综合权重,优化了模糊综合评价模型的赋权过程,最后结合加权平均法,构建了水质评价优化模型。通过对案例中的水样进行评价,结果显示:7个采样点当中,Ⅱ类水和Ⅲ类水的采样点有4个,占比57.14%;Ⅳ类水的采样点有3个,占比42.86%。相较于单一熵权法赋权的模糊综合评价模型,优化后的评价模型综合考虑了主客观权重和评价因素对于整体水质影响,合理反映了水质特征,可为类似地区的水质评价工作提供参考。

运用模糊隶属度进行土壤属性制图的研究--以黑龙江鹤山农场研究区为例

通过传统土壤类型图所得的土壤属性图已不能满足精准农业和生态环境模型所需土壤属性的精度,而目前应用较多的统计方法和地统计方法均存在一定的局限性。鉴于此,本文探索了一种采用模糊聚类获取模糊隶属度进行土壤属性制图的方法。首先,采用模糊c均值聚类(Fuzzyc-means clustering,FCM)方法对环境因子进行聚类,通过野外采样(称为建模点)建立土壤-环境关系知识;然后,计算区域内各像元点对土壤类型的模糊隶属度;最后,对模糊隶属度采用加权平均的方法获取土壤属性值。将该方法应用于黑龙江鹤山农场老莱河流域的研究小区,以土体厚度和表层有机质为例进行土壤属性制图。为了评价该方法的有效性,将其与采用环境因子所建立的多元线性回归模型进行比较,通过野外验证点集评价两种模型所得的土壤属性,评价指标为观测值和预测值的相关系数、平均绝对误差(MAE)、均方根误差(RMSE)和准确度(AC)。结果表明,尽管通过建模点建立的多元线性回归方程R2较大,但该方程并不适用于研究区内的其他样本点,这表明多元线性回归方法在该区具有一定的局限性。与之相比,模糊隶属度加权平均的方法则可以通过较少的建模点得到更好的预测效果。

电池组用荷电状态均衡充电模糊控制策略

研究了一种电动汽车用磷酸铁锂动力电池组分布式主动均衡充电系统。该系统给单体电池分别配备了反激变换器均衡充电子模块和电池管理子模块,通过嵌入自适应卡尔曼滤波算法到电池管理均衡控制单元,完成单体电池荷电状态的实时估计。利用模糊控制策略,调节各均衡充电子模块的输出电流;与平均法均衡控制策略相比,使用的模糊控制策略能明显缩短均衡时间,降低电池组之间的不一致性。为验证所研究的均衡充电控制策略,对48 V/140 Ah磷酸铁锂动力电池组展开了充电模式下的系统均衡实验,实验结果验证了控制策略的有效性。

动态三角模糊多属性决策的VIKOR扩展方法

针对各决策时段的时间权重,以及属性权重已知、属性值以三角模糊数形式给出的动态多属性决策问题,提出了一种基于多准则妥协解排序拓展的决策分析方法。该方法依据传统多准则妥协解排序法的基本思想,结合三角模糊数的运算法则,计算各时段各方案的评价值。利用给出的动态三角模糊加权平均算子对各时段的评价值进行集成,以获取各方案的综合评价值。利用三角模糊数两两比较的可能度公式对其进行比较,进而得到整个方案集的排序。通过实例分析表明了该方法的实用性和可行性。

基于模糊聚类理论的电网故障元件定位

利用保护动作信息量的传统故障定位方法是在保护动作之后完成故障定位的,在时限上难以满足广域自适应后备保护的要求,特别在站用直流电源消失的情况下,传统方法很难定位出原发性故障。针对上述问题,作者基于广域测量系统(wide area measurement system,WAMS)的实时量测信息,提出应用模糊C均值法对广域信息数据构成的样本进行最优分类,从而定位出故障元件和故障区域的方法。仿真结果表明,该方法不仅能快速、准确地定位出原发性故障,同时能够界定出受故障影响明显的区域,而且满足广域自适应后备保护的时限性要求。

地表水环境质量评价方法实证及适用性分析

通过均值法、断面比例法、均值-灰色关联分析法、灰色关联分析-断面比例法、均值-模糊综合评价法、模糊综合评价-点位比例法6种方法对2013年全国地表水七大流域水质分别进行评价。结果表明:均值法和点位比例法差别在于多数流域出现水质类别变化,但变化方向并不一致;引入灰色关联分析和模糊综合评价后水质评价结果明显改善,但模糊综合评价在适用性和评价精度上更有优势。

基于直觉模糊VIKOR方法的装备优选群决策模型

针对属性权重完全未知且属性值为语言信息的装备优选与排序问题,提出了一种基于扩展多准则妥协解排序(VIKOR)的多属性群决策模型。该模型引入直觉模糊加权集结(IFWA)算子对所有个体的决策信息进行集成,以获取作战指挥员决策群组的直觉模糊决策矩阵。利用直觉模糊数熵权公式对评估属性进行客观赋权,通过将VIKOR法扩展到直觉模糊环境来得到待选装备的折衷可行方案。最后结合作战无人机(UCAV)空地导弹优选实例和灵敏度分析验证了该模型的有效性和稳定性,并通过与直觉模糊TOPSIS法的对比实验表明了所提出方法的优越性。

修正的模糊数学综合评判法在地下水环境质量评价中的应用——以福建省晋江市为例

模糊数学综合评判法在地下水环境质量评价过程中存在隶属度和多指标综合运算规则选取等问题,该文结合地下水标准修正隶属度函数应用于晋江市地下水质量评价,并对比分析了修正后的4种运算规则的模糊数学综合评价结果及其内梅罗指数评价法结果存在的异同性,结合GIS技术与地统计,给出了研究区"加权平均型"地下水环境质量综合评价数字地面模型,分析结果得出目标区地下水环境质量综合评价结果整体处于良好水平,说明修正后的模型能更真实地反映地下水水质状况,有较高的应用价值.

一种简洁的模糊随机干涉模型可靠度计算公式

对连续型随机应力和离散型模糊强度的模糊可靠度计算公式进行了研究,提出了当随机应力和模糊强度均为连续型时的加权平均法计算公式。所得公式的理论出发点及表达形式均不同于基于模糊事件概率的模糊可靠度计算公式,从理论上证明了这两种公式是等价的,但加权平均法计算公式省去了利用模糊强度自身隶属函数构造随机应力对模糊安全状态的隶属函数这一繁琐过程。算例表明本文所得公式比基于模糊事件概率的模糊可靠度计算公式更简洁且可操作性更强。

高速公路养护预算定额测定对象的优选方法

在高速公路养护定额测定对象的选择上采用了基于层次分析的模糊综合评价法,介绍了基于层次分析的模糊综合评价法的原理及应用,对若干个施工队组的实际情况进行模型模拟计算。结果表明:选择结果满足了定额编制的平均先进性原则,表明基于层次分析的模糊综合评价法应用于高速公路养护定额测定对象的选择上是合理可行的。

两种模糊—随机干涉可靠度公式的等价性研究

文中对模糊—随机干涉模型中存在的两种可靠度计算方法随机阈值模拟法和加权平均法进行了对比;推导出了当随机变量与模糊变量均为连续型时加权平均法的可靠度计算公式;从理论上对随机阈植模拟法和加权平均法的可靠度计算公式的等价性进行了分析研究,并通过算例验证了两种方法在本质上是等价的。

基于可变模糊聚类迭代模型的溃坝生命损失预测

针对我国溃坝相关资料缺乏、数据均匀连续性较差的现状,将可变模糊集理论引入到溃坝生命损失预测中,建立基于可变模糊聚类(VFC)循环迭代模型的人口死亡率预测模型。采用相邻模糊标度法确定指标权重,运用模型得到最优相对隶属度矩阵和最优聚类中心矩阵,结合欧氏距离,对样本进行二次筛选,再运用指数加权平均法,计算得到待估样本人口死亡率估计值。实例验算证明,该模型符合我国现状,具有一定的实用性和较高的精度。