可分离物品多属性多源采购的优化决策模型

以可分离物品的采购问题为实际背景,提出了可分离物品多属性多源采购的优化决策模型.首先在多属性信息下定义了采购商和供应商的效用函数;然后以社会福利最大化为目标,以市场出清价格为歧视性价格和统一价格两种不同形式分别构建了可分离物品多属性多源采购的供应商优选模型,通过求解模型得出最优的供应商和相应的供应量;最后,给出了一个电煤多属性多源采购的应用实例,表明了所设计的可分离物品采购决策方法的可行性和合理性.     

供应商能力有约束的混合型多属性决策方法

研究了一种混合型多属性决策方法,用于多资源模型的供应商选择问题,并将供应商选择过程分为2个阶段.首先用熵系数模型确定评价指标的客观权重,利用逼近理想解排序法模型排定方案优劣次序;然后建立多目标规划模型确定采购数量在入选供应商之间的分配;最后给出了一个算例,算例结果表明该方法可行且有效.     

基于决策者信任度的风险型混合多属性群决策方法

考虑决策者对风险型混合多属性评价结果的信任程度不同, 提出基于前景理论和改进投影理论的群决策方法. 建立一个数组以描述在不同信任度下群决策专家的评价结果, 并将数组中混合数据类型转化为三角模糊数. 在考虑决策者信任度的前提下集结群信息、确定属性权重. 引入综合前景价值和考虑权重的投影相对接近度两种方法对方案进行排序. 最后通过实例表明了所提出方法的合理性和有效性.

     

基于后悔理论和证据理论的犹豫模糊决策方法

针对属性值为犹豫模糊信息、属性权重和自然状态发生概率完全未知的多属性群决策问题,考虑决策者心理行为,提出一种基于后悔理论和证据理论的多属性群决策方法。首先,运用证据理论计算各自然状态发生的概率;然后,基于区间模糊矩阵、t-分布估计以及得分函数矩阵确定属性信息的效用值,进而依据后悔理论得到每个自然状态下的感知效用矩阵;通过加权算术平均得到综合感知效用矩阵,并依据方案综合感知效用的大小确定方案优劣排序;最后,将所提方法运用于对投资公司的选择实例中。实验结果表明,虽然所提方法与现有方法得到的决策结果相同,但是所提方法在决策过程中只需考虑较少数量的参数。对比分析实验表明,所提方法得到的决策结果合理、可靠,且能反映实际决策情况。     

基于信息熵的模糊多属性决策供应商选择方法

提出了一种针对供应商选择最优决策问题的基于信息熵的模糊多属性决策方法。针对供应商的多属性决策问题,确定属性集,利用信息熵求出各属性权重,运用模糊数排序方法对方案的模糊效用值进行排序,以确定最优方案。最后以某企业为例做了实例分析,将此方法应用于对这五个供应商进行评分排序,并从中选择出最为合适的供应商,表明此方法行之有效。     

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.     

基于后悔理论及EDAS法的概率语言多属性群决策方法

针对属性权重未知的群体决策问题,提出基于离平均方案（平均解）距离的评价方法（EDAS）及考虑决策者后悔规避心理行为的概率语言术语集（PLTS）多属性群决策方法。首先,根据PLTS的相关性质定义概率语言术语集信息熵及交叉熵并建立属性权重模型;然后,将群体满意度公式拓展到概率语言术语集环境下,并用于后悔理论中效用值的计算;随后,基于概率语言术语集的属性权重确定模型及群体满意度公式,将后悔理论与EDAS法相结合提出新的多属性决策方法,并对各备选方案进行选择排序;最后,以实例网络舆情突发事件的选择排序为实例对所提出的方法进行验证,并通过对比分析来证明所提方法的有效性。     

基于后悔理论及EDAS法的概率语言多属性群决策方法

针对属性权重未知的群体决策问题，提出基于离平均方案（平均解）距离的评价方法（EDAS）及考虑决策者后悔规避心理行为的概率语言术语集（PLTS）多属性群决策方法。首先，根据PLTS的相关性质定义概率语言术语集信息熵及交叉熵并建立属性权重模型；然后，将群体满意度公式拓展到概率语言术语集环境下，并用于后悔理论中效用值的计算；随后，基于概率语言术语集的属性权重确定模型及群体满意度公式，将后悔理论与EDAS法相结合提出新的多属性决策方法，并对各备选方案进行选择排序；最后，以实例网络舆情突发事件的选择排序为实例对所提出的方法进行验证，并通过对比分析来证明所提方法的有效性。     

基于改进向量相似度的区间数动态多指标决策模型及应用

针对决策信息为区间数的不确定性动态决策问题,在属性权重和时间权重未知的情况下,基于改进向量相似度的方法,构建一种兼顾决策信息和决策偏好的动态多指标决策模型.利用区间型决策信息的相对相似性和属性重要度,构造相对相似度最小规划模型以确定指标权重;在综合考虑决策信息时间价值、决策者偏好的基础上,构建极大熵模型以确定时间权重;结合向量相似度计算存在的缺陷,提出一种基于向量投影思想的向量综合相似度测度方法,从而建立不确性动态决策模型,并通过实例分析检验该模型的合理性和有效性.     

基于粗糙集理论和层次分析法的异构无线网络接入选择算法

针对异构无线网络环境下的基于负载均衡的接入选择算法未能全面考虑判决因素以及合理反映候选网络综合性能水平的问题,利用多属性决策理论提出一种异构无线网络接入选择算法。该算法在满足多属性判决的基础上,采用粗糙集理论和层次分析法确定接入判决指标的主观和客观权重,并通过最小二乘法对主客观权重进行折中选择,判决过程兼顾了网络的综合性能水平和用户的喜好,提高了网络接入选择的准确性和合理性。仿真结果表明,该算法相对于参考算法有效降低了系统阻塞率,并有利于异构网络之间的负载均衡。     

Procurement decision making mechanism of divisible goods based on multi-attribute auction

Multi-attribute auction enables negotiation on several attributes in addition to the price such as quality, quantity, time of delivery and service levels. Most of the existing multi-attribute auction mechanisms are designed by considering a unique good or indivisible multiple goods. This paper focuses on designing a multi-attribute auction mechanism for addressing the decision making problem of multi-attribute and multi-source procurement of a kind of homogeneous continuous divisible goods (such as coal, oil, electricity and gas). The suppliers’ optimal bidding strategies are discussed, and a bidding method named the minimum bid increment method is proposed to simulate the overall process of suppliers’ multiple rounds of bidding. Theoretical analysis shows that our auction mechanism is an efficient mechanism, and satisfies the incentive compatibility conditions and the individual rationality conditions. Moreover, a multi-attribute auction example about the steam coal procurement is given to show how to implement our multi-attribute auction mechanism.     

Supplier behavior modeling and winner determination using parallel MDP

Behavioral uncertainty of a supplier is a major challenge to a buyer operating in e-procurement setting. Modeling suppliers’ behavior from past transactions, estimation of possible future performance and integrating this knowledge with the winner determination process can bring a new dimension to procurement process automation. We propose a states-space model to capture the uncertainty involved in long-term supplier behavior. The states represent the performance level of a supplier. This behavioral aspect is then integrated with the winner determination process of a multi-attribute reverse auction for efficient supplier selection using parallel MDP. We also propose an implementation framework to collect the feedback on supplier, generate an aggregate performance score and integrate it with the winner determination process. The performance aggregation and winner determination with help of Markov decision process effectively uses the past performance information. In addition, it updates performance information in regular invervals and allevates the problem of maintaining a long history. We compare the MDP-based selection with that of performance score-based selection through a simulation experiment. It is observed that our scheme gives better buyer utility, selects best suppliers and fetches better quality product. The benefits realized through these attributes to the buyer increases the efficiency of the MDP-based selection process.     

广义直觉模糊熵及其在权重确定中的应用

在综合考虑直觉模糊集(IFS)的直觉信息和模糊信息的基础上,提出广义直觉模糊熵的定义;分析直觉模糊集的直觉信息和模糊信息对广义直觉模糊熵的影响;在合理选取广义直觉模糊熵参数的前提下,基于熵权法构建一种同时获取决策者和属性权重的方法.案例分析验证了所提出方法的可行性和有效性,为解决权重信息完全未知的多属性群决策(MAGDM)问题提供一类新思路.     

A hybrid mechanism for heterogeneous e-procurement involving a combinatorial auction and bargaining

We discuss the design of a hybrid mechanism for e-procurement, which implements a multi-attribute combinatorial auction, followed by a bargaining process to achieve desirable procurement transaction outcomes. For the auction phase of the mechanism, we discuss incentive-compatible bidding strategies for suppliers, and how the buyer should determine the winning suppliers. In the follow-on bargaining phase, the buyer can implement a pricing strategy that views the winning suppliers as though they are in different groups. We develop a model and derive decision conditions for the buyer to formulate procurement strategy in this context. Our most important finding is that, compared with the classical Vickrey–Clarke–Groves mechanism, the proposed mechanism improves the transactional social surplus, by including the possibility of post-auction bargaining. We also consider the likelihood that such a hybrid mechanism will be able to provide sustainable business value so long as there is reasonable symmetry in bargaining power between the buyer and the supplier. We offer some thoughts on how to extend this research with approaches from behavioral economics and experimental methods.     

Prioritized intuitionistic fuzzy aggregation operators

In some multi-attribute decision making problems, distorted conclusions will be generated due to the lack of considering various relationships among the attributes of decision making. In this paper, we investigate the prioritization relationship of attributes in multi-attribute decision making with intuitionistic fuzzy information (i.e., partial or all decision information, like attribute values and weights, etc., is represented by intuitionistic fuzzy values (IFVs)). Firstly, we develop a new method for comparing two IFVs, based on which the basic intuitionistic fuzzy operations satisfy monotonicities. In addition, we devise a method to derive the weights with intuitionistic fuzzy forms, which can indicate the importance degrees of the corresponding attributes. Then we develop a prioritized intuitionistic fuzzy aggregation operator, which is motivated by the idea of the prioritized aggregation operators [R.R. Yager, Prioritized aggregation operators, International Journal of Approximate Reasoning 48 (2008) 263–274]. Furthermore, we propose an intuitionistic fuzzy basic unit monotonic (IF-BUM) function to transform the derived intuitionistic fuzzy weights into the normalized weights belonging to the unit interval. Finally, we develop a prioritized intuitionistic fuzzy ordered weighted averaging operator on the basis of the IF-BUM function and the transformed weights.     

云制造环境中信息不完全的合作伙伴选择

针对云制造环境中合作伙伴选择信息不完全、动态多属性问题,提出一种基于广义优序法的合作伙伴选择模型。首先,针对不同的数据采用不同的方式将其量化为广义优序数,把伙伴企业选择问题转化为广义优序数矩阵问题,并给出了基于灰色关联法的属性变权计算方法和具有惩罚机制的时序权重确定方法。随后,通过综合广义优序数对候选企业进行排序选择。最后,通过实验仿真验证该模型是可行的和有效的。     

A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information

This article proposes an approach to handle multi-attribute decision making (MADM) problems under the interval-valued intuitionistic fuzzy environment, in which both assessments of alternatives on attributes (hereafter, referred to as attribute values) and attribute weights are provided as interval-valued intuitionistic fuzzy numbers (IVIFNs). The notion of relative closeness is extended to interval values to accommodate IVIFN decision data, and fractional programming models are developed based on the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method to determine a relative closeness interval where attribute weights are independently determined for each alternative. By employing a series of optimization models, a quadratic program is established for obtaining a unified attribute weight vector, whereby the individual IVIFN attribute values are aggregated into relative closeness intervals to the ideal solution for final ranking. An illustrative supplier selection problem is employed to demonstrate how to apply the proposed procedure.     

A fuzzy TOPSIS based approach for e-sourcing

This study presents a methodology for solving the sealed bid, multi-attribute reverse auction problem of e-sourcing in which the sales item is defined by several attributes, the buyer is auctioneer, and the suppliers are the bidders. There is only one buyer and a number of suppliers. Both qualitative and quantitative attributes of benefit and cost types are considered for solving the winner determination (WD) problem of reverse auction. Here, the WD problem is considered as multi-criteria decision making problem (MCDM). In order to address the imprecision of suppliers or decision makers in formulating the preference value of various attributes in MCDM, a fuzzy TOPSIS based methodology along with a mechanism for determination of fuzzy linguistic value of each attribute is proposed in this article. Entropy method is utilised to enumerate the weights of various attributes automatically without involvement of decision makers. An illustrative example is presented to demonstrate the applicability of the proposed methodology.     

属性和专家客观权重未知的区间数群决策方法

针对偏好信息为区间数形式、属性和专家客观权重未知的多属性群决策问题,提出通过属性评价值之间偏离程度的熵值分析和建立目标最小化的非线性规划模型确定属性客观权重,并结合属性主观权重获得属性综合权重;通过灰色关联法分析专家综合评价和群体综合评价之间一致性程度确定专家客观权重,并利用自适应迭代法求得稳定的专家权重;构造了一个新的区间数比较的可能度公式,并基于此公式,给出了方案排序问题的解决方法。通过算例分析及与其他方法对比,验证了所提出方法的可行性和有效性。最后,分析了相关参数对决策结果的影响。