语言区间直觉模糊Frank算子

针对语言区间直觉模糊信息的集结问题,文中提出Frank集结算子,并构建解决供应商选择问题的群决策方法.首先引入拓展Frank t-模与s-模定义语言区间直觉模糊集的Frank运算法则,提出语言区间直觉模糊Frank加权平均(LIVIFFWA)算子与几何(LIVIFFWG)算子,证明算子的幂等性、封闭性、单调性等基本性质,剖析算子关于参数的退化性.然后,基于LIVIFFWA算子与LIVIFFWG算子构建语言区间直觉模糊多属性群决策方法,用于解决供应商决策问题.最后,通过共享单车回收供应商选择的案例分析验证文中决策方法的可行性和灵活性,讨论参数变化对决策结果的影响,并验证参数具有表征和反馈决策者态度的能力.     

Partitioned Bonferroni mean based on linguistic 2-tuple for dealing with multi-attribute group decision making

In this study, a multi-attribute group decision making (MAGDM) problem is investigated, in which decision makers provide their preferences over alternatives by using linguistic 2-tuple. In the process of decision making, we introduce the idea of a specific structure in the attribute set. We assume that attributes are partitioned into several classes and members of intra-partition are interrelated while no interrelationship exists among inter partition. We emphasize the importance of having an aggregation operator, to capture the expressed inter-relationship structure among the attributes, which we will refer to as partition Bonferroni mean (PBM). We also investigate the behavior of the proposed PBM operator. Further to aggregate the given linguistic information to get overall performance value of each alternative in MAGDM, we analyze PBM operator in linguistic 2-tuple environment and develop three new linguistic aggregation operators: 2-tuple linguistic PBM (2TLPBM), weighted 2-tuple linguistic PBM (W2TLPBM) and linguistic weighted 2-tuple linguistic PBM (LW-2TLPBM). Based on the idea that total linguistic deviation between individual decision maker's opinions and group opinion should be minimized, we develop an approach to determine weight of the decision makers. Finally, a practical example is presented to illustrate the proposed method and comparison analysis demonstrates applicability of the proposed method.     

基于方案偏离度和偏差综合度的交互式多属性决策方法

本文提出了方案偏离度和方案偏差综合度的概念,基于该定义建立了求解多属性决策问题的单目标决策模型,最后给出了求解的步骤和实例分析。     

基于特征匹配检索与区间数优势度多属性排序方法的工艺规划研究

为满足现代制造企业产品品种多样性、制造过程离散性、生产环境复杂性要求,提出将工艺规划分为两个阶段,第一阶段采用特征匹配的实例检索制定出加工零件所需的各种数据及多条加工路线;第二阶段采用基于区间数优势度多属性排序方法选择最优的加工路线,实现设备能力导航及加工时间与成本最低。最后,用实例验证了该方法的可行性。     

软覆盖熵及其在多属性群决策中的应用

结合软覆盖与信息熵,提出软覆盖信息熵.定义软覆盖信息熵、软覆盖联合熵、软覆盖条件熵,并研究这些熵之间的关系及它们的重要性质.最后给出两种基于软覆盖条件熵的多属性群决策的算法,举例说明这两种算法的结果具有一致性.     

Scheduling with multi-attribute setup times

In this paper we address a scheduling problem with multi-attribute setup times originated from the manufacturing plant of a company producing PVC sheets. In the considered scheduling problem, each job has a number of attributes and each attribute has one or more levels. Because there is at least one different level of attribute between two adjacent jobs, it is necessary to make a setup adjustment whenever there is a switch to a different job. The objective of the problem is to determine a processing sequence so as to minimize the total setup time on a single machine.     

Double parameters TOPSIS for multi-attribute linguistic group decision making based on the intuitionistic Z-linguistic variables

Multi-attribute linguistic group decision making (MALGDM) is one of the most widespread and important human activities. Therefore, it is extremely significant to study the efficient methods to address linguistic information. Extended by classical fuzzy number, Z-number can describe both restraints and reliability, which has more capacity to represent human knowledge. In this paper, we will propose the intuitionistic Z-linguistic set (IZLS) combined the intuitionistic uncertain linguistic set (IULS) with Z-number. We further introduce the operational rules, new score and accuracy functions of it. Then, the Minkowski distance between two intuitionistic Z-linguistic variables is proposed with the attribute’s weight obtained by the priority relationship among different categories. Finally, we propose an extended TOPSIS method with double parameters which consider both preference of alternatives and optimism of decision makers (DMs). Case study on investment strategy and medical diagnosis are presented to show the applicability of the proposed approach and some comparisons are conducted to illustrate its superiorities.     

基于语言值格蕴涵代数的偏好顺序结构评估决策方法

针对具有可比性和不可比性语言值信息的决策问题,提出基于语言值格蕴涵代数(L_V(n×2))的多属性决策方法.讨论L_(n×2)上的语言值评价矩阵及其性质,提出L_V(n×2)上的优先函数和格值程度差,充分考虑属性值差距信息,将格值程度差应用到择优排序上.通过语言值向量,建立语言值向量合成矩阵,处理决策问题中的多专家多属性信息.引入语言值评价矩阵加权聚合算子对语言值评价矩阵进行聚合,利用偏好顺序结构评估(PROMETHEE)决策方法的非补偿性,构建基于语言值格蕴涵代数的PROMETHEE决策模型,并通过网络商品评价实例说明文中方法的有效性和实用性.     

面向大群体用户的模糊服务选择

面向群体的服务选择在社会生活中应用非常广泛;而群体规模较大并且QoS需求个性化和模糊QoS给Web服务选择带来巨大困难。基于多属性群决策理论提出面向大群体用户的模糊服务选择(BGFWSS),其包括5个步骤:群体偏好确定、族加权权重确定、构造族加权规格化决策矩阵、确定理想方案、群体综合评价。另外,还介绍了一个新的Web服务QoS模型,其能够描述实数、区间数、直觉模糊数表示的QoS信息。实验数据表明,BGFWSS能够很好地解决模糊QoS的大规模群体用户的服务选择问题。     

基于多指标灰区间数关联决策模型的产品方案设计

针对复杂产品方案设计中属性信息的不完全性和不确定性,研究了方案设计中多指标灰区间数关联决策计算方法.提出一种基于灰色系统理论的多指标灰区间数关联决策模型.该模型通过引入灰区间敷序列的范数实现多指标决策矩阵的规范化处理,构建了综合考虑灰色信息的正负理想区间方案,利用方案的优属度从整体性的角度获得最优决策方案.最后,通过大型水轮机的方案设计,验证了该模型的有效性和实用性.