一种新广义混合比例平均算子及其在多属性群决策中的应用

给出一种新广义混合比例平均(NGHPA)算子,并提出一种基于NGHPA算子的多属性群决策方法.理论分析表明:NGHPA算子同时推广了广义有序加权比例平均(GOWPA)算子和广义加权比例平均(GWPA)算子,它不仅反映了所给数据所处位置的重要性,而且还考虑了数据本身的重要性.此外,算子具有单调性、幂等性、有界性和置换不变性.最后,通过一个算例说明所提的方法是有效的、可行的.     

基于区间直觉模糊不确定语言变量的VIKOR方法及其在房地产开发风险评价中的应用

采用区间值直觉模糊不确定语言变量建模决策中存在的不确定信息,给出了一个新的不确定环境下的VIKOR方法.首先采用区间直觉模糊不确定语言变量对方案进行评价,然后将VIKOR方法进行推广到新的不确定环境下,给出新的方案排序方法.最后为了说明方法的有效性和合理性,将所给的方法应用于房地产开发方案的风险评价中.     

Parametric (R,S)-norm Entropy on Intuitionistic Fuzzy Sets with a New Approach in Multiple Attribute Decision Making

The theory of intuitionistic fuzzy sets (IFSs) is well suitable to deal with vagueness and hesitancy. In the present communication, a new parametric $(R,S)$-norm intuitionistic fuzzy entropy is proposed with the proof of validity and some of its properties also discussed. The intuitionistic fuzzy entropy is useful to represent the decision information in decision making process since it is characterized by the degree of satisfiability, degree of non-satisfiability and hesitancy degree. Based on this proposed IF entropy, a new multiple attribute decision making (MADM) method is introduced and compared with an existing method. In case of attributes weight, two cases (one with completely unknown attributes weight and other with partially known attributes weight) are discussed with the help of examples. In the end, a case study of insurance companies on the basis of service qualitities is given.     

Magnetic Susceptibility in 2D Superconductor NaxHfNCl System

Abstract

Superconducting critical temperature, T_c and the shielding volume fraction, SVF, of layered nitride superconductor Na_xHfNCl have been studied as a function of x, i.e. Na concentration. Although T_c decreases gradually with increasing x from 20.0 K at x=0.11 to 16.5 K at x=0.85, SVF has a sharp peak around x=1/6, where strong coupling between local ordering of Na atoms and Fermi surface instability can be expected. Structural disorder in the samples above x=0.5, observed by powder neutron diffraction, does not affect the superconductivity appreciably. Electronic specific heat coefficient, γ, is estimated to be about 7.7 mJ/mol/K² by its difference of magnetic susceptibility between HfNCl and Na_0.5HfNCl. The γ value is relatively small compared with the high T_c value, revealing double honeycomb lattice system as new potential higher T_c superconductor series by intercalation.     

Developing a straightforward approach for group decision making based on determining weights of decision makers

Group decision making is an active area of research within multiple attribute decision making. This paper assumes that all the decision makers (DMs) are not equally qualified to contribute equitably to the decision process. The aim of this paper is to develop an approach to determine weights of DMs, in which the decision information on alternatives with respect to attributes, provided by each DM, is represented in the form of interval data. We define the average of all individual decisions as the positive ideal decision (PID), and the maximum separation from PID as the negative ideal decision, which are characterized by a matrix, respectively. The weight of each DM is determined according to the Euclidean distances between the individual decision and ideal decisions. By using the obtained weights of DMs, all individual decisions are aggregated into a collective decision. Then the alternatives is ranked based on the collective decision. Meanwhile, this paper also gives a humanized decision method by using an optimistic coefficient, which is used in adjusting the relative importance between profit and risk. Finally, we give an example to illustrate the developed approach.     

一种SPA记分函数的多属性决策方法

在集对分析(SPA)理论基础上,结合集对分析联系数同、异、反之间的关系及内在规律,提出了SPA集记分函数的概念,并讨论了其含义特性.据此建立了一种基于SPA记分函数的多属性信息决策方法.最后,通过实例说明该方法的具体计算过程及步骤.     

改进的多属性群决策共识方法及其在图书供应商选择中的应用

针对多属性群决策问题,提出了一种改进的加型集结共识方法.在每轮决策中,共识一致性指标较小的决策个体都修改其偏差较大的偏好,能快速使参与决策的个体对各属性形成满意的一致性意见.数值实验也表明该共识方法是合理有效的.     

一种航空客机选型的随机多属性决策方法

为解决航空公司客机选型决策中,需要使用的旅客需求信息为随机信息的问题,本文研究了考虑随机信息的航空客机选型多属性决策方法.首先在分析飞机选型工作流程的基础上,建立了航空客机选型评价指标体系;然后针对指标信息中既有数值信息又有随机信息的特点,给出了一种航空客机选型的随机多属性决策方法;最后通过一个算例说明了本文给出方法的可行性和有效性.相关原理和方法可以扩展应用到新能源汽车服务网络方案选择、移动信息服务开发项目选择等决策问题.     

基于改进直觉模糊集成算子的多属性决策方法及其应用研究

基于直觉模糊集理论,提出了改进直觉模糊集成算子方法来研究多属性决策问题。本文定义了直觉模糊数的运算法则和比较了直觉模糊信息的一系列集成算子,然后改进了传统得分函数,并将其与直觉模糊集成算子相结合,从而得到新的直觉模糊信息的集成方式,将其运用于解决属性权重已知的直觉模糊多属性决策问题。最后,通过具体实例说明该方法的有效性和具体应用过程。     

属性粗糙集的新型近似算子

由等价类中元素属性测度的上、下确界定义的属性粗糙集,没有充分反映等价类中其它元素的作用,在信息处理中不免造成元素信息的丢失.为此提出一种新的属性粗糙集近似算子的表示方法,给出了相应的性质并实例说明了这一方法的合理性.