考虑决策者心理行为的直觉模糊三支决策方法

针对传统的二支决策只能得到方案排序的不足，同时考虑到决策者具有参照依赖和损失规避行为，提出了考虑决策者心理行为的三支多属性决策方法。对于大多数三支决策模型中的代价损失函数以精确值形式给出，无法有效表达模糊信息，通过采用直觉模糊决策信息来处理这一问题，同时采用TODIM方法计算各方案的综合感知优势度，依据分类规则获得决策结果。以工业机器人的项目投资开发为例，验证所提方法的有效性与合理性。     

基于改进的TODIM方法的区间灰数多属性决策模型

针对属性值为区间灰数的多属性决策问题, 提出一种基于改进的TODIM方法的区间灰数多属性决策方法. 考虑决策者参照依赖的心理行为特征, 结合随机占优的思想给出两两方案相比较时的收益和损失; 分析经典TODIM方法中优势度和全局价值的不足, 给出新的优势度的表示方法和方案; 相对于其他方案收益和损失的总优势度的表示方法, 提出一种改进的TODIM方法. 最后通过实例说明了所提出方法的有效性和可行性.

     

基于后悔理论的具有期望水平的直觉语言多准则决策方法

针对准则具有期望水平的直觉语言多准则决策问题, 考虑决策者后悔规避的心理行为特征, 提出一种基于后悔理论的决策方法. 该方法利用期望效用函数构建各准则值的效用值矩阵; 利用后悔-欣喜函数构建各准则值相对于准则期望水平的后悔-欣喜值矩阵; 在此基础上, 依据后悔理论构建各准则值相对于准则期望水平的感知价值矩阵; 进一步, 利用线性加权法计算各方案的综合感知价值, 并确定方案排序. 最后通过实例分析表明了所提出方法的可行性和有效性.

     

考虑决策者心理行为的灰色多属性群体决策方法

针对决策者在实际决策过程中表现出参照依赖和损失规避的现象,提出一种考虑决策者心理行为的灰色多属性群体决策方法.首先,利用“奖优罚劣”变换算子对原始决策信息进行规范化处理,以充分反映“奖优罚劣”思想;其次,依据决策群体信息,计算两两方案关于属性相比较时收益和损失的优势度,整合得到备选方案的全局优势度;再次,根据极大熵准则和群体意见一致性原则构建决策者权重优化模型,求出备选方案的综合价值并对其排序择优;最后,通过案例分析验证所提方法的可行性、合理性和实用性.     

基于Pythagorean不确定语言的扩展VIKOR多属性群决策方法

针对属性值为Pythagorean不确定语言变量,属性权重和专家权重完全未知的群决策问题,提出一种扩展VIKOR多属性群决策方法.首先,给出Pythagorean不确定语言变量的概念,提出考虑语义变化的Pythagorean不确定语言变量运算规则、大小比较方法和Hamming距离测度;其次,提出基于Pythagorean 不确定语言模糊熵的属性权重确定方法和基于相似度的专家权重确定方法,进而提出一种新的扩展VIKOR方法;最后,通过国内航空公司服务质量评估实例验证所提出方法的有效性和可行性.     

基于Hurwicz的概率不确定的灰色随机多准则决策方法

首先定义了扩展灰数的可能度和距离公式;然后针对方案准则值为扩展灰数的不确定多准则决策问题,提出一种基于Hurwicz的概率不确定的灰色随机多准则决策方法。该方法通过使用扩展灰数的可能度和Hurwicz准则求得各方案在各准则下的评价值,经规范化后得到标准效用值决策矩阵;利用扩展灰数的距离和TODIM思想计算决策者对每个方案的损益感知价值及方案优势度,进而计算各方案总体感知价值大小以对方案进行排序。最后,通过算例验证了所提出方法的可行性和有效性。     

不确定多指标决策的可能度规划模型及其应用

针对指标权重未知的区间数型不确定多指标决策问题, 提出区间数可能度与比较优势关系理论, 并推导出一些相关结论. 借鉴合作博弈中极大极小算法, 建立基于区间数比较优势关系, 确定指标权重的可能度规划模型. 利用供选方案间相互比较的可能度矩阵测定信息, 集结各方案比较的总体可能度值对供选方案集进行优劣筛选和排序, 以此给出一种新的区间数型不确定多指标决策的可能度规划算法. 最后通过算例验证了所提出模型算法的有效性和实用性.     

基于TODIM的直觉模糊双边公平满意匹配方法

针对直觉模糊偏好信息下的双边匹配问题,考虑匹配主体参照依赖和损失规避的心理行为,提出一种基于TODIM(TOmada de decis\ao interativa multicritério)的双边公平满意匹配方法.首先,对直觉模糊偏好信息下的双边匹配问题进行描述;然后,依据前景理论将双边主体的直觉模糊偏好信息转化为相对于参照点的收益或损失,在此基础上,依据TODIM法计算每个主体的总体优势度,构建满意度计算规则,建立双边公平满意匹配优化模型,求解模型并获得双边匹配解;最后,通过一个算例验证所提出方法的可行性和有效性.     

Pythagorean犹豫模糊灰色关联前景多属性决策方法

针对Pythagorean犹豫模糊环境下的多属性决策问题,提出了一种基于前景理论的Pythagorean犹豫模糊灰色关联多属性决策方法。定义了Pythagorean犹豫模糊数的灰色关联度和前景价值函数。基于灰色关联度定义了各方案相对于正负理想解的差异集,结合前景价值函数将Pythagorean犹豫模糊决策矩阵转化为价值矩阵。通过各方案的收益损失比值对备选方案进行优劣排序。为了说明该决策方法的可行性和有效性,将其应用到能源项目的综合评价上,并通过实例对比验证了提出决策方法的优越性。     

基于情绪感知的语言多属性决策方法

情绪对于决策有着重要影响,由于缺乏有效的决策者情绪状态获取方法,当前考虑情绪状态的语言多属性决策方法研究偏少.随着物联网技术的发展,通过可穿戴传感器能够便捷地获取决策者脑电信号,进而可感知其情绪状态.为此,研究基于情绪感知的语言多属性决策方法.首先,提出基于SVM概率输出模型的情绪感知方法,根据决策者脑电信号,实时、准确感知决策者情绪状态的概率分布;其次,提出基于云模型的语言评价定量化方法,一方面考虑语言评价的模糊性与随机性,另一方面考虑决策者情绪状态因素,定量化语言评价;然后,提出基于前景理论的方案排序方法,在情绪泛化假设下,根据综合前景值将各方案排序;最后,通过实例验证该决策方法的可行性和有效性.     

An integrated fuzzy multi criteria group decision making approach for ERP system selection

This paper aims to ease group decision-making by using an integration of fuzzy AHP (analytic hierarchy process) and fuzzy TOPSIS (technique for order preference by similarity to ideal solution) and its application to software selection of an electronic firm. Firstly, priority values of criteria in software selection problem have been determined by using fuzzy extension of AHP method. Fuzzy extension of AHP is suggested in this paper because of little computation time and much simpler than other fuzzy AHP procedures. Then, the result of the fuzzy TOPSIS model can be employed to define the most appropriate alternative with regard to this firm's goals in uncertain environment. Fuzzy numbers are presented in all phases in order to overcome any vagueness in decision making process. The final decision depends on the degree of importance of each decision maker so that wrong degree of importance causes the mistaken result. The researchers generally determine the degrees of importance of each decision maker according to special characteristics of each decision maker as subjectivity. In order to overcome this subjectivity in this paper, the judgments of decision makers are degraded to unique decision by using an attribute based aggregation technique. There is no study about software selection using integrated fuzzy AHP-fuzzy TOPSIS approach with group decision-making based on an attribute based aggregation technique. The results of the proposed approach and the other approaches are compared. Results indicate that our methodology allows decreasing the uncertainty and the information loss in group decision making and thus, ensures a robust solution to the firm.     

基于勾股模糊语言幂加权平均算子的多属性群体决策方法

针对多属性群决策问题,采用能够方便专家参考语言集信息进行评价并且取值灵活的勾股模糊语言集进行了处理。首先,基于语言集和勾股模糊集的距离测度给出了勾股模糊语言数距离测度的定义与相关性质;然后,以勾股模糊语言数的距离测度作为幂均（PA）算子的距离度量,提出了勾股模糊语言幂加权平均（PFLPWA）算子用以对群决策过程中不同专家评价矩阵进行融合,并同时在融合过程中考虑专家评价的差异性;最后,基于PFLPWA算子构建了勾股模糊语言环境下的群体决策新方法,并通过案例分析检验了PFLPWA算子应用于群决策中的有效性和适用性。     

The Properties of Continuous Pythagorean Fuzzy Information

In practical decision‐making processes, we can utilize various types of fuzzy sets to express the uncertain and ambiguous information. However, we may encounter such the situations: the sum of the support (membership) degree and the against (nonmembership) degree to which an alternative satisfies a criterion provided by the decision maker may be bigger than 1 but their square sum is equal to or less than 1. The Pythagorean fuzzy sets (PFS), as the generalization of the fuzzy sets, can be used to effectively deal with this issue. Therefore, to enrich the theory of PFS, it is very necessary to investigate the fundamental properties of Pythagorean fuzzy information. In this paper, we first describe the change values of Pythagorean fuzzy numbers (PFNs), which are the basic components of PFSs, when considering them as variables. Then we divide all the change values into the eight regions by using the basic operations of PFNs. Finally, we develop several Pythagorean fuzzy functions and study their fundamental properties such as continuity, derivability, and differentiability in detail.     

区间Pythagorean模糊交互式多准则决策模型

研究了权重信息部分已知,评价信息为区间Pythagorean模糊数的交互式多准则决策问题。利用区间Pythagorean模糊数得分函数,计算各方案的加权得分向量在Pythagorean模糊正理想点和Pythagorean模糊负理想点上的投影,构建基于方案满意度最大的非线性规划准则权重确定模型。根据决策者的主观偏好并结合现有客观信息建立单目标规划模型,通过对方案满意度的给定与修正来实现交互决策。通过算例说明模型及方法的可行性和有效性。     

Pythagorean Uncertain Linguistic Variable Hamy Mean Operator and Its Application to Multi-attribute Group Decision Making

Pythagorean fuzzy set (PFS) can provide more flexibility than intuitionistic fuzzy set (IFS) for handling uncertain information, and PFS has been increasingly used in multi-attribute decision making problems. This paper proposes a new multi-attribute group decision making method based on Pythagorean uncertain linguistic variable Hamy mean (PULVHM) operator and VIKOR method. Firstly, we define operation rules and a new aggregation operator of Pythagorean uncertain linguistic variable (PULV) and explore some properties of the operator. Secondly, taking the decision makers' hesitation degree into account, a new score function is defined, and we further develop a new group decision making approach integrated with VIKOR method. Finally, an investment example is demonstrated to elaborate the validity of the proposed method. Sensibility analysis and comprehensive comparisons with another two methods are performed to show the stability and advantage of our method.      

Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision‐making process

In this article, a new linguistic Pythagorean fuzzy set (LPFS) is presented by combining the concepts of a Pythagorean fuzzy set and linguistic fuzzy set. LPFS is a better way to deal with the uncertain and imprecise information in decision making, which is characterized by linguistic membership and nonmembership degrees. Some of the basic operational laws, score, and accuracy functions are defined to compare the two or more linguistic Pythagorean fuzzy numbers and their properties are investigated in detail. Based on the norm operations, some series of the linguistic Pythagorean weighted averaging and geometric aggregation operators, named as linguistic Pythagorean fuzzy weighted average and geometric, ordered weighted average and geometric with linguistic Pythagorean fuzzy information are proposed. Furthermore, a multiattribute decision‐making method is established based on these operators. Finally, an illustrative example is used to illustrate the applicability and validity of the proposed approach and compare the results with the existing methods to show the effectiveness of it.     

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...     

An integrated MCDM method for robot selection under interval-valued Pythagorean uncertain linguistic environment

Robots have received considerable attention in many manufacturing companies due to their great capabilities and characteristics. Selecting an appropriate robot for a specific application can be regarded as a challenging multicriteria decision-making problem. Furthermore, decision makers are inclined to represent their opinions by using linguistic terms owing to their ambiguous thinking. In this regard, we put forward a novel robot selection model by integrating quality function development (QFD) theory and qualitative flexible multiple criteria method (QUALIFLEX) under interval-valued Pythagorean uncertain linguistic context. For the developed model, the evaluations given by decision makers are presented as interval-valued Pythagorean uncertain linguistic sets for dealing with the uncertainty and vagueness of decision makers’ information. An extended QFD method is used for determining criteria weights from the perspective of customers. A modified QUALIFLEX technique based on closeness degree is utilized to generate the ranking order of alternative robots and determine the most suitable one. Finally, an empirical example of an auto manufacturing company is applied to clarify the effectiveness and accuracy of the proposed robot selection approach.