一种区间数多属性决策的VIKOR扩展方法

针对备选方案中属性值及各属性权重为区间数的多属性决策问题,运用区间数对VIKOR方法进行改进,提出一种基于区间数的多属性决策方法。该方法以最接近理想解为基本思想,在决策过程中采用线性规范策略,利用心态指标对区间数进行排序,在可接受优势和决策过程稳定的条件下对备选方案择优。采用该方法,能够更全面地分解决策者的不同心态指标,计算决策者处于各种不同心态下的备选方案折衷解,通过排序分析可进一步得出多属性决策的最优解,所得结果合理有效,更符合多属性决策问题的实际情况。通过一个代表性实例分析,验证了该方法的可行性和有效性。     

Pythagorean模糊对称交叉熵及加权投影的多属性决策

在Pythagorean模糊多属性决策问题中,以欧式距离等距离测度为基础计算各备选方案与正、负理想解的距离,可能产生与正理想解距离更近的待选方案却与负理想解的距离也更近,导致所得方案排序结果并不能真实反映各备选方案的优劣程度.为有效克服决策结果的逆序问题,提出满足对称性、有界性的Pythagorean模糊对称交叉熵,进...     

基于改进k-中心聚类的P2P模式合作伙伴选择

由于当前已有方法未能考虑改进k-中心聚类算法各个簇的寻优问题,导致求解耗时增加.为此,本文提出一种基于改进k-中心聚类的P2P模式合作伙伴选择方法.仿真实验结果表明,本文方法可以有效提升收敛率,降低平均迭代次数以及最优解耗时,选取最理想的合作伙伴.     

基于前景理论的犹豫模糊TOPSIS多属性决策方法

针对属性权重未知、属性值为犹豫模糊集的决策问题,提出一种前景理论和逼近理想解(TOPSIS)相结合的多属性决策方法.考虑到决策者对指标集的不同偏好,利用犹豫模糊熵的相关理论,提出一种基于犹豫模糊熵的熵权法确定属性权重.将决策者的风险心理因素引入犹豫模糊多属性决策中,定义了犹豫模糊数的前景价值函数,并以此将犹豫模糊决策矩阵转化为价值矩阵,计算出各方案的收益损失比值.最终应用TOPSIS的基本思路,确定备选方案的优劣排序,并通过算例分析验证了所提出方法的有效性.     

基于马氏距离的改进型TOPSIS在供应商选择中的应用

由于传统逼近理想解排序法(TOPSIS)的应用中各属性指标之间普遍存在线性相关,导致运用欧氏距离公式计算各评价对象到正负理想解的距离失效.运用马氏距离不受量纲影响以及消除变量间相关性的特性改进传统TOPSIS的距离计算,改进后的TOPSIS具有明显的科学性与合理性.最后,给出了该方法在供应商选择中的应用.     

基于集对分析的无人机攻势布雷方案优选

为解决无人机攻势布雷方案优选问题,采用基于联系度的逼近理想解的排序法(TOPSIS)进行求解。在传统评估要素基础上提出无人机综合作战系数来衡量布雷平台影响,并利用联系度刻画备选方案与综合理想方案组成的集对在相对接近程度意义下的同一对立程度。根据特征属性值计算信息熵权,并改进相对确定可能势,以实现无人机攻势布雷方案的综合评估和排序,算例验证了该方法的有效性。     

基于指数型模糊数的多属性决策模型及其应用

针对模糊多属性决策问题,给出一种基于指数型模糊数的多属性决策模型。一方面,通过定义指数型模糊数的期望,以实现属性权重向量的解模糊化处理;另一方面,根据三元区间数理论和指数型模糊数的截集信息,定义指数型模糊数上一种新的距离度量,以计算各备选方案与正、负理想方案之间的距离。根据模糊理想点思想,基于指数型模糊数的期望和距离的定义,给出一种指数型模糊数上的Topsis多属性决策方法。将该模型应用于一个具体实例,其结果证实了该方法的有效性。     

一种基于对象-语言值决策矩阵的模糊语言TOPSIS决策方法

模糊语言决策方法是决策领域的热点研究内容之一.比较现有模糊语言决策方法研究中广泛使用的决策矩阵,提出对象-语言值决策矩阵表示决策专家根据决策属性给出的评价语言信息,分析对象-语言值决策矩阵在区分明晰、部分未知及犹豫的模糊语言决策问题中的优势;借鉴经典TOPSIS决策方法及向量运算,给出基于对象-语言值决策矩阵的正负理想解确定方法以及备选对象与正负理想解的伪距离和贴近度计算方法,分析伪距离和贴近度的相关性质;基于2-元组语言表示模型,提出基于对象-语言值决策矩阵的模糊语言TOPSIS决策方法.通过实例分析,并与已有3种重要的模糊语言决策方法进行比较,比较结果说明所提出的决策方法可以克服已有决策方法的不足, 是一种可选的模糊语言决策方法.     

基于直觉模糊云模型的TOPSIS多属性决策方法

针对属性值为直觉模糊数的多属性决策问题,提出了一种基于直觉模糊云模型的TOPSIS多属性决策方法。首先,利用直觉模糊云对备选方案的各个属性值进行描述,计算其数字特征——期望、熵和超熵;然后,构造各数字特征的决策矩阵,获得其对应的正、负理想解;最后,计算各数字特征与正、负理想解间的距离,进而获得综合贴近度,对备选方案进行排序,获得最优决策结果,并通过具体数值实例验证方法的合理性和有效性。     

基于云模型的Pythagorean模糊语言多属性决策方法

针对专家给出的属性值为Pythagorean模糊语言且专家权重与属性权重均未知的多属性决策问题进行了研究,提出一种基于云模型的多属性决策方法。首先,根据Pythagorean模糊语言决策信息的距离熵计算得到属性权重;其次,计算决策矩阵间的距离从而得到各决策专家权重;再次,构建Pythagorean模糊云模型决策矩阵并利用专家权重和属性权重进行信息集结;最后,基于TOPSIS方法求取正、负理想解,依据理想解计算各方案贴近度并据此对各备选方案进行排序选择。案例分析表明,该方法优化了复杂环境下的决策,避免了决策信息的丢失,能够较好解决决策信息的不确定性和决策过程的随机性,具有一定的可行性和有效性。     

A new compromise solution method for fuzzy group decision-making problems with an application to the contractor selection

This paper presents a novel compromise solution method for solving fuzzy group decision-making problems by a group of experts, which can determine the best alternative by considering both conflicting quantitative and qualitative evaluation criteria in real-life applications. The compromise solution method is developed based on the concept that the chosen alternative should be as close as possible to the positive ideal solution and as far away from the negative ideal solution as possible concurrently. The performance rating values of alternatives versus conflicting criteria as well as the weights of criteria are described by linguistic variables with multi-judges and are converted to triangular fuzzy numbers. Then, a new collective index is introduced to distinguish among potential alternatives in the assessment process with respect to subjective judgment and objective information. Finally, a real case study and an application example for a contractor selection problem are provided in construction industry to demonstrate the implementation process of the proposed method.     

A systematic approach to heterogeneous multiattribute group decision making

Heterogeneous multiattribute group decision making (MAGDM) problems which involve multi-granularity linguistic labels, fuzzy numbers, interval numbers and real numbers are very complex and important in practical applications of decision making theory. Hitherto, there exists no general theoretical inducement for solving such problems. The purpose of this paper is to develop a systematic methodology for solving the heterogeneous MAGDM problems by introducing the multiattribute ranking index based on the particular measure of closeness to the positive ideal solution (PIS) and using the weighted Minkowski distance to measure differences between each alternative and the PIS as well as the negative ideal solution (NIS). The proposed methodology is shown to have some advantages over the fuzzy TOPSIS. Validity and applicability of the methodology proposed in this paper is illustrated with a real example of the missile weapon system selection problem.     

A systematic approach to heterogeneous multiattribute group decision making

Heterogeneous multiattribute group decision making (MAGDM) problems which involve multi-granularity linguistic labels, fuzzy numbers, interval numbers and real numbers are very complex and important in practical applications of decision making theory. Hitherto, there exists no general theoretical inducement for solving such problems. The purpose of this paper is to develop a systematic methodology for solving the heterogeneous MAGDM problems by introducing the multiattribute ranking index based on the particular measure of closeness to the positive ideal solution (PIS) and using the weighted Minkowski distance to measure differences between each alternative and the PIS as well as the negative ideal solution (NIS). The proposed methodology is shown to have some advantages over the fuzzy TOPSIS. Validity and applicability of the methodology proposed in this paper is illustrated with a real example of the missile weapon system selection problem.     

In search of best alternatives: a TOPSIS driven MCDM procedure for neural network modeling

Multiple criteria decision making (MCDM) is an approach to rank the alternatives with respect to the different attributes. Several MCDM approaches were used to select the best alternatives of meta-heuristic modeling under the soft-computing domain where the true best alternative is not known. Alternatives are artificial neural network models, selection of which is difficult based on many conflicting performance measures. This paper addresses two new methods for MCDM, using the concept of Minkowski distance and based on technique for order preference by similarity to ideal solution philosophy. The performances of these two methods are compared with four other methods considering real-life data and simulated experiments.     

基于粗糙熵权的模糊多准则决策方法及应用

提出度量粗糙集不确定性的粗糙熵概念,并基于粗糙熵对属性的重要度给出了定义,从而提供一种求解模糊多准则决策模型中准则权重的方法．根据备选方案的模糊评价系统,给出相关的知识表达系统,并建立删除冗余属性后的备选方案综合评价优选矩阵,通过比较各备选方案与理想方案的近似度求出最优方案．最后,通过实例计算证明了上述模型及方法的有效性．     

基于语言判断矩阵的专家群体判断一致性分析

针对群决策中基于语言判断矩阵的专家群体判断一致性问题,提出了一种分析方法．首先给出有关语言判断矩阵,导出矩阵和相客性的若干定义,得出了语言判断矩阵具有完全一致性或满意一致性的充要条件,其相应的导出矩阵也具有同样的结论;然后通过定义有关专家群体判断各个方案以及专家群体判断的一致性指标,给出了专家群体判断一致性的判别方法及专家群体判断不一致的调整方法;最后通过一个算例说明了所提出方法的有效性。     

灰色关联投影下的模糊多属性群决策方法

针对属性评价信息为区间直觉梯形模糊数的多属性群决策问题,给出一种基于灰色关联投影的群决策方法。在规范化处理各决策矩阵的基础上,定义负极端决策矩阵及平均决策矩阵,根据各决策矩阵与这两类矩阵的距离大小确定决策者权重,由区间直觉梯形模糊数加权算术平均算子及决策者权重得到群体决策矩阵。由各方案与正、负理想方案的相对贴近度最小化确定各属性权重,以正理想方案为参考,计算各方案与参考序列关于每个属性的灰色关联系数,并计算各方案到正理想方案的灰色关联投影值,根据各方案投影值大小实现对方案的排序择优。将所给群决策方法应用到生鲜冷库空调系统选择决策问题中,算例分析的过程体现了该群决策方法有效性与可行性。     

Grey relational analysis method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information

With respect to 2-tuple linguistic multiple attribute group decision making problems with incomplete weight information, some basic concepts and operational laws of 2-tuple linguistic variables are introduced. An optimization model based on the maximizing deviation method, by which the attribute weights can be determined, is established. According to the traditional ideas of grey relational analysis (GRA), the optimal alternative(s) is determined by calculating the linguistic degree of grey relation of every alternative and 2-tuple linguistic positive ideal solution and 2-tuple linguistic negative ideal solution. It is based on the concept that the optimal alternative should have the largest degree of grey relation from positive ideal solution and the smallest degree of grey relation from the negative ideal solution. The method has exact characteristic in linguistic information processing. It avoided information distortion and losing which occur formerly in the linguistic information processing. Finally, a numerical example is used to illustrate the use of the proposed method. The result shows the approach is simple, effective and easy to calculate.     

An integrated fuzzy MCDM based approach for robot selection considering objective and subjective criteria

Robots with vastly different capabilities and specifications are available for a wide range of applications. Selection of a robot for a specific application has become more complicated due to increase in the complexity, advanced features and facilities that are continuously being incorporated into the robots by different manufacturers. The aim of this paper is to present an integrated approach for the optimal selection of robots by considering both objective and subjective criteria. The approach utilizes Fuzzy Delphi Method (FDM), Fuzzy Analytical Hierarchical Process (FAHP), Fuzzy modified TOPSIS or Fuzzy VIKOR and Brown–Gibson model for robot selection. FDM is used to select the list of important objective and subjective criteria based on the decision makers’ opinion. Fuzzy AHP method is then used to find out the weight of each criterion (both objective and subjective). Fuzzy modified TOPSIS or Fuzzy VIKOR method is then used to rank the alternatives based on objective and subjective factors. The rankings obtained are used to calculate the robot selection index based on Brown–Gibson model. The proposed methodology is illustrated with a case study related to selection of robot for teaching purpose. It is found that the highest ranked alternative based on Fuzzy VIKOR is closest to the ideal solution.