基于后悔-欣喜值最大一致性的多属性决策及其在区域绿色经济评价应用

现实中区域绿色经济发展水平评价尚未关注信息的异质性、偏好多维性和决策者有限理性等问题,据此本文提出一种基于后悔理论的多维偏好评价方法.首先,构建区域绿色经济发展水平评价指标体系.其次,通过计算方案的后悔值与欣喜值并得出综合排序值.然后,通过定义综合排序值与专家决策偏好的一致性和不一致性程度,建立决策优化模型,求解获得指标权重,进而进行方案排序和优选.以三明市为例,研究发现,决策者的后悔规避心理对绿色经济评价存在影响,且规避系数越大,投资与消费指标对方案排序影响越大.研究方法兼顾了指标数据分析和专家心理偏好,有较强的有效性、合理性和实用性.     

基于证据推理的不完全信息决策方法研究及应用

提出了一种基于证据推理和优化模型的不完全信息决策方法。针对专家认知偏好的多样性以及决策问题的复杂性特点,提出了一类评价指标不尽相同的不完全信息决策问题;运用证据理论中的基本信度分配来描述专家意见,给出了此类问题的信度函数、似真度函数、合成法则和不同专家贡献度的定义,计算了各个指标的基本信度分配值;从最大程度保持专家原始判断偏好的角度,建立了指标权重确定的优化模型;文后以商用飞机成本管控风险的重要性评价为例,说明了方法的应用步骤和有效性。     

基于模糊理论的次序评分法优化研究

传统次序评分法是处理多指标等权正交试验设计问题的常用方法,但其在实际运用过程中存在一定的缺陷.考虑到专家评价信息的模糊性和不确定性,本文分别引入语言变量法、语言分布评价法和犹豫模糊语言偏好分析法对次序评分法进行改进.通过案例分析发现,上述三种模糊评价法较次序评分法能更准确地获取专家的评价信息,减少数据处理过程的信息损失...     

考虑专家偏好的创新型企业创新能力评价方法

为解决创新型企业创新能力评价过程中专家偏好差异和指标量纲不一致等问题,文章构建了一个科学的评价指标体系,运用考虑专家偏好的效用函数对创新能力评价指标进行效用估算,并计算灰色关联系数;最后运用TOPSIS方法对创新型企业的创新能力进行综合评价和排序。数值实例证明了该方法的科学性和实用性。     

基于模糊软矩阵的企业信息化水平的综合评价

利用加权模糊软集评价方法对企业信息化水平进行综合评价.评价过程中,考虑到专家知识的局限性,允许不同专家采用不同个人评价指标集,应用模糊软集合方法对不同专家的评价信息进行融合,得到最终的评价结果,并通过实例说明该评价方法的应用.     

基于混合权重和VIKOR的黑启动方案评估

黑启动作为电力体系安全防御和事故后快速恢复措施之一,对其路径的评估是黑启动辅助决策的一个重要组成部分。本文将一种利用最小叉熵准则集成组合权重的思想运用到黑启动方案评估上。首先利用可变熵模型,在克服了经典熵权法权重分配差别过大、权重无法体现评价矩阵微小变化等问题的基础上,依据各指标客观数据信息的差异得到可变熵权重;接着又尝试性引入决策者效用函数,将原始属性评价矩阵转换为带有决策者主观偏好的判断矩阵,结合Kullback-Leibler距离模型得出带有决策者意愿的偏好权重,再根据最小叉熵准则,对可变熵权重以及偏好权重进行集成,求得指标综合权重。最后利用VIKOR法对方案间关系进行细致分析,得到最优方案。采用天津电网黑启动数据进行了验证,验证结果表明了所提方法的有效性。     

基于多属性群决策的软件可靠性模型选择方案

基于模型评价准则的属性值和专家经验的偏好信息进行软件可靠性增长模型的选择,可归结为多属性群决策问题.模型评价准则的主观专家偏好可利用层次分析方法将其量化得到其主观排序权重;基于失效数据的模型评价准则的计算数据可利用熵权法获得客观排序权重.综合两种权重可得到既能反映专家经验又能综合实际软件可靠性测试数据的模型评价方案.实例分析表明该方案具有合理性和可行性.     

构建不确定语言型多属性决策的投影模型

研究不确定语言型多属性决策评价结果与决策者对方案的偏好信息之间存在偏差的问题.通过建立与区间型语言标度对应的术语指标矩阵,及方案综合属性值与决策者主观偏好值之间的投影模型,确定属性的权重,然后运用加权法得到方案的综合属性值,利用已有的可能度矩阵排序公式得到决策方案的排序.构建了一种基于方案综合属性质与决策者主观偏好值之间的投影模型,通过算例对该方法的实用性和有效性进行了证明.     

主客观赋权合成指标权重及其在公共卫生综合评价中的应用

目的:探讨综合评价中指标权重的确定.方法:将相似权法和属性AHM赋权法相结合来确定指标权重,并应用于公共卫生质量的综合评价.结果:实现了对太原市5所普通旅店的聚类与排序;结论:主客观赋权合成指标权重,既充分利用了样本资料的统计信息,又反映了专家的理论知识和经验,可得到较为客观、合理的指标权重,将此权重用于综合评价,其结果准确可靠.     

群体综合评价中兼顾权威与共识的专家权重方法研究

针对多指标综合评价中专家权重确定问题,提出一种新的专家赋权思路.首先,对评价对象的每个指标都设定一组相应的专家主观权重值,以反映专家在不同指标中的重要性程度.其次,依据专家所作出的评价信息,首次提出基于专家个体与群体意见的偏差达到最小(即共识最大)的准则,通过构建最优规划模型求解客观权重.最后将专家主观权重与客观权重有效集结,得到兼顾个体权威与群体共识的综合权重.实例分析说明了该方法的可行性和有效性.     

An approach to group decision making based on interval multiplicative and fuzzy preference relations by using projection

This paper presents a consensus model for group decision making with interval multiplicative and fuzzy preference relations based on two consensus criteria: (1) a consensus measure which indicates the agreement between experts’ preference relations and (2) a measure of proximity to find out how far the individual opinions are from the group opinion. These measures are calculated by using the relative projections of individual preference relations on the collective one, which are obtained by extending the relative projection of vectors. First, the weights of experts are determined by the relative projections of individual preference relations on the initial collective one. Then using the weights of experts, all individual preference relations are aggregated into a collective one. The consensus and proximity measures are calculated by using the relative projections of experts’ preference relations respectively. The consensus measure is used to guide the consensus process until the collective solution is achieved. The proximity measure is used to guide the discussion phase of consensus reaching process. In such a way, an iterative algorithm is designed to guide the experts in the consensus reaching process. Finally the expected value preference relations are defined to transform the interval collective preference relation to a crisp one and the weights of alternatives are obtained from the expected value preference relations. Two numerical examples are given to illustrate the models and approaches.     

A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making

In decision making problems, there may be the cases where the decision makers express their judgements by using preference relations with incomplete information. Then one of the key issues is how to estimate the missing preference values. In this paper, we introduce an incomplete interval multiplicative preference relation and give the definitions of consistent and acceptable incomplete ones, respectively. Based on the consistency property of interval multiplicative preference relations, a goal programming model is proposed to complement the acceptable incomplete one. A new algorithm of obtaining the priority vector from incomplete interval multiplicative preference relations is given. The goal programming model is further applied to group decision-making (GDM) where the experts evaluate their preferences as acceptable incomplete interval multiplicative preference relations. An interval weighted geometric averaging (IWGA) operator is proposed to aggregate individual preference relations into a social one. Furthermore, the social interval multiplicative preference relation owns acceptable consistency when every individual one is acceptably consistent. Two numerical examples are carried out to show the efficiency of the proposed goal programming model and the algorithms.     

IP-MAGS: an incomplete preference-based multiple attribute group support system

In this research, we develop a group decision support system to deal with multiple attribute group decision-making problems, which involve getting incomplete judgements of individual preference and aggregating the judgements by means of the additive preference model. Dominance-based decision-making rules are built in and applied to obtain a group's preferred alternative. The proposed system, above all, allows for more various forms of incomplete judgements than prior systems that were designed to handle group decision problems. A user-friendly graphical interface enables users to easily encode their incomplete judgements. Further, the system helps individuals revise their preference judgements by referring them to their own decision results in comparison with the group's aggregated decision result. The system is a web-based application system, which enables bidirectional communications between individuals and the system. Any individual who is involved in a group decision-making problem is able to participate in the decision-making process from a remote site. Furthermore, we present a real-life case study on the selection of a branch office server that has been carried out using the proposed system.     

Approaches to collective decision making with fuzzy preference relations

Recent experimental studies show that the predictive accuracy of many of the solution concepts derived from the collective decision making theory leaves much to be desired. In a previous paper the author attempted to explain some of the inaccuracies in terms of the fuzzy indifference regions of the individuals participating in the voting game. This paper gives straightforward generalizations of the solutions concepts in terms of the fuzzy social or individual preference relations. It turns out that some of these new solution concepts cotain their nonfuzzy counterparts as subsets. Others, in turn, are subsets of their nonfuzzy counterparts. We also discuss a method of aggregating individual nonfuzzy preferences so as to get a fuzzy social preference relation and, furthermore, a nonfuzzy social choice set.     

Group decisions I. In arbitrary spaces of fuzzy binary relations

This article solves the problem of finding a set of group decisions that satisfy the classical Pareto unanimity principle for the case of initial data represented as fuzzy relations of individual preference. The solution proceeds from results obtained in studying the structure of convex (in the sense defined here) sets and their convex hulls. In the first part that study is carried out for spaces of arbitrary fuzzy binary relations.     

Fuzzy preference orderings in group decision making

In this paper, some use of fuzzy preference orderings in group decision making is discussed. First, fuzzy preference orderings are defined as fuzzy binary relations satisfying reciprocity and max-min transitivity. Then, particularly in the case where individual preferences are represented by utility functions (utility values), group fuzzy preference orderings of which fuzziness is caused by differences or diversity of individual opinions are defined. Those orderings might be useful for proceeding the group decision making process smoothly, in the same manner as the extended contributive rule method.     

A method based on similarity measures for interactive group decision-making with intuitionistic fuzzy preference relations

In this paper, we study the group decision-making problem in which the preference information given by experts takes the form of intuitionistic fuzzy preference relations, and the information about experts’ weights is completely unknown. We first utilize the intuitionistic fuzzy weighted averaging operator to aggregate all individual intuitionistic fuzzy preference relations into a collective intuitionistic fuzzy preference relation. Then, based on the degree of similarity between the individual intuitionistic fuzzy preference relations and the collective one, we develop an approach to determine the experts’ weights. Furthermore, based on intuitionistic fuzzy preference relations, a practical interactive procedure for group decision-making is proposed, in which the similarity measures between the collective preference relation and intuitionistic fuzzy ideal solution are used to rank the given alternatives. Finally, an illustrative numerical example is given to verify the developed approach.     

A method of fuzzy preference relation to authorize the worldwide interoperability for microwave access license in Taiwan

This study proposes a preference relation based evaluation framework to help the National Communication Commission (NCC) in Taiwan authorize a worldwide interoperability for microwave access (WiMAX) license under a fuzzy environment where the uncertainty, subjectivity and vagueness are dealt with linguistic variables parameterized by triangular fuzzy numbers. This study applies the fuzzy multi-criteria decision making approach to determine the importance weights of evaluation criteria and consolidate the performance ratings of possible alternatives. Aggregated the evaluators’ opinions toward the criteria and alternatives, the fuzzy preference relation approach is utilized to obtain the non-dominated degree of each alternative for the decision makers to make a final decision. Simultaneously, an empirical case involving sixteen quantitative and fifteen qualitative evaluation criteria, thirteen telecommunication applicants assessed by twelve specialists from various fields of telecommunication industry in Taiwan is solicited to demonstrate the proposed approach.     

Coevolution of role preference and fairness in the ultimatum game

Traditional economics assumes that humans are rational. However, it is known that humans behave fairly in the ultimatum game (UG). There are various explanations for this apparent paradox, such as the “inequity aversion.” However, the role preference (proposer or responder) of humans in the UG is obscure. I conducted a UG scenario experiment where subjects were asked their role preference in addition to their decision in the game. The results showed that the subjects prefer to be proposers rather than responders. In particular, it was found that rational subjects had a high preference for the proposer role. On the basis of these results, I conducted evolutionary simulations of the UG, where each individual has role preference intensity. A role is allocated to the individual proportional to the preference intensity. The results showed coevolution of role preference and fairness. The preference for the proposer role evolved when rational strategy evolved, whereas this preference weakened as rationality decreased. This indicates that fairness has a strong link with role preference; in other words, human fairness is always threatened by the “power and position” of some particular individuals. Hence, its equal distribution among individuals may be effective in maintaining a high level of fairness. © 2012 Wiley Periodicals, Inc. Complexity, 2012     

价格一致性系统与风险偏好

本文研究了风险偏好问题.利用简单市场模型,讨论了个人风险偏好和市场风险偏好,给出了两种风险偏好的数学定义,该定义具有自然直观的经济学意义.