软件可信性的MAGDM度量模型

建立了一个基于MAGDM的软件可信性度量模型.在已建立的软件可信性综合评价指标体系的基础上,采用群组多属性决策的方法对软件可信性进行度量,分别利用主观赋权法对群决策专家的意见进行综合归纳和客观赋值法对群决策结果进行修正,根据参评软件与"理想软件"距离的大小对软件可信性进行度量.最后,将该模型运用到某银行开发的网上银行软件的可信性评估中,实例说明了MAGDM模型的具体过程,结果验证了该模型的实用性和有效性.

Optimized interval 2-tuple linguistic aggregation operator based on PGSA and its application in MAGDM

This study proposes a multiple attribute group decisionmaking(MAGDM)approach on the basis of the plant growth simulation algorithm(PGSA)and interval 2-tuple weighted average operators for uncertain linguistic weighted aggregation(ULWA).We provide an example for illustration and verification and compare several aggregation operators to indicate the optimality of the assembly method.In addition,we present two comparisons to demonstrate the practicality and effectiveness of the proposed method.The method can be used not only to aggregate MAGDM problems but also to solve multi-granularity uncertain linguistic information.Its high reliability,easy programming,and high-speed calculation can improve the efficiency of ULWA characteristics.Finally,the proposed method has the exact characteristics for linguistic information processing and can effectively avoid information distortion and loss.

A Personalized Comprehensive Cloud-Based Method for Heterogeneous MAGDM and Application in COVID-19

This paper proposes a personalized comprehensive cloud-based method for heterogeneous multi-attribute groupdecision-making (MAGDM), in which the evaluations of alternatives on attributes are represented by LTs (linguisticterms), PLTSs (probabilistic linguistic term sets) and LHFSs (linguistic hesitant fuzzy sets). As an eective toolto describe LTs, cloud model is used to quantify the qualitative evaluations. Firstly, the regulation parameters ofentropy and hyper entropy are dened, and they are further incorporated into the transformation process from LTsto clouds for reecting the dierent personalities of decision-makers (DMs). To tackle the evaluation informationin the form of PLTSs and LHFSs, PLTS and LHFS are transformed into comprehensive cloud of PLTS (C-PLTS)and comprehensive cloud of LHFS (C-LHFS), respectively. Moreover, DMs’ weights are calculated based on theregulation parameters of entropy and hyper entropy. Next, we put forward cloud almost stochastic dominance(CASD) relationship and CASD degree to compare clouds. In addition, by considering three perspectives, acomprehensive tri-objective programing model is constructed to determine the attribute weights. Thereby, apersonalized comprehensive cloud-based method is put forward for heterogeneous MAGDM. The validity ofthe proposed method is demonstrated with a site selection example of emergency medical waste disposal inCOVID-19. Finally, sensitivity and comparison analyses are provided to show the eectiveness, stability, exibilityand superiorities of the proposed method.

基于IITFN输入的复杂系统关联MAGDM方法

区间直觉梯形模糊数(Interval-valued intuitionistic trapezoidal fuzzy number,IITFN)是刻画复杂系统不确定性的有效工具.基于进一步完善的IITFN运算规则,讨论其局部封闭性.由此定义IITFN几何Bonferroni平均算子,并验证该算子的相关性质.针对决策者及属性之间均存在关联作用且权重均未知的多属性群决策(Multi-attribute group decision making,MAGDM)问题,提出基于前景混合区间直觉梯形几何Bonferroni(Prospect hybrid interval-valued intuitionistic trapezoidal fuzzy geometric Bonferroni,PHIITFGB)平均算子的关联多属性群决策方法.该方法首先通过依次定义IITFN的前景效应、前景价值函数和前景价值,获取前景价值矩阵;其次,将前景价值矩阵转化为前景记分函数矩阵,并综合运用基于灰关联深度系数的客观属性权重极大熵模型和基于2-可加模糊测度与Choquet积分联合的决策者权重确定模型,获取决策者权重及属性权重;再次,利用PHIITFGB算子集结各决策者的方案评估信息,结合决策者权重即可获取相应于各方案的综合前景价值;最后,计算综合前景记分价值函数,基于IITFN的序关系判别准则确定方案排序.案例验证决策方法的有效性和可行性.

一种基于多QoS注册中心和模型异构的WEB服务选择算法

多QoS注册中心并且QoS模型异构给服务选择带来巨大困难。借鉴多属性群决策(MAGDM)理论的基本思想,该文提出一种解决上述难题的多注册中心和模型异构的Web服务选择算法(MRHQ_WSSA)。MRHQ_WSSA算法能综合评估各QoS注册中心的QoS信息,从而获得QoS综合最优的服务组合计划。MRHQ_WSSA算法包括5个步骤:用户偏好规格化、群偏好确定、加权规格化决策矩阵、确定群理想方案、计算群贴近度。最后通过实验验证算法的优势和有效性。

一种QoS感知的语义Web服务组合群决策算法

针对QoS信息不确定和存在多个决策者的语义Web服务组合问题,基于多属性群决策理论给出了一个自治的语义Web服务组合群决策算法(AGSC)。该算法能够对以实数型、区间型和语言型数据描述的复杂的QoS信息进行综合评估,从而为多客户提供正确、高效的决策支持,为其优选出最佳的组合服务执行计划。利用真实Web服务的质量对该算法进行了实验验证,结果表明该算法具有优秀的决策灵敏性和稳定性,并能有效地反映决策群中个体角色的变化。

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。

Power Aggregation Operators of Simplified Neutrosophic Sets and Their Use in Multi-attribute Group Decision Making

The simplified neutrosophic set(SNS) is a useful generalization of the fuzzy set that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function and falsity membership function. In this paper, we develop a series of power aggregation operators called simplified neutrosophic number power weighted averaging(SNNPWA) operator, simplified neutrosophic number power weighted geometric(SNNPWG) operator, simplified neutrosophic number power ordered weighted averaging(SNNPOWA) operator and simplified neutrosophic number power ordered weighted geometric(SNNPOWG) operator. We present some useful properties of the operators and discuss the relationships among them. Moreover, an approach to multiattribute group decision making(MAGDM) within the framework of SNSs is developed by the above aggregation operators.Finally, a practical application of the developed approach to deal with the problem of investment is given, and the result shows that our approach is reasonable and effective in dealing with uncertain decision making problems.

考虑组织者风险态度的通航危险源评估模型

为有效评估通航危险源的风险程度,构建考虑决策组织者风险态度的通航危险源评估模型。首先,基于国际民航组织(ICAO)推荐的危险源分类法梳理通航危险源评估指标体系;其次,针对以语义术语表征的多属性群决策(MAGDM)问题,提出变权语义幂均(VLPA)算子,并以此获取考虑决策组织者风险态度的群体评估信息;然后,综合考虑决策组织者的风险态度,阐述基于VLPA算子-距离熵的决策属性权重确定方法;最后,采用语义加权逼近理想解排序技术(TOPSIS)综合排序通航危险源的风险程度,并与传统的故障模式与影响分析(FMEA)方法对比分析。结果表明:组织因素和沟通人为因素是通航运行过程中需重点关注的2个危险源;与FMEA方法的一致排序结果证明所提方法的可行性,且该方法能更好地处理不同风险因子的乘积可能得到相同风险顺序数(RPN)值的情形。

Aggregation Operators for Interval-Valued Pythagorean Fuzzy Soft Set with Their Application to Solve Multi-Attribute Group Decision Making Problem

Interval-valued Pythagorean fuzzy soft set(IVPFSS)is a generalization of the interval-valued intuitionistic fuzzy soft set(IVIFSS)and interval-valued Pythagorean fuzzy set(IVPFS).The IVPFSS handled more uncertainty comparative to IVIFSS;it is the most significant technique for explaining fuzzy information in the decision-making process.In this work,some novel operational laws for IVPFSS have been proposed.Based on presented operational laws,two innovative aggregation operators(AOs)have been developed such as interval-valued Pythagorean fuzzy soft weighted average(IVPFSWA)and interval-valued Pythagorean fuzzy soft weighted geometric(IVPFSWG)operators with their fundamental properties.A multi-attribute group decision-making(MAGDM)approach has been established utilizing our developed operators.A numerical example has been presented to ensure the validity of the proposed MAGDM technique.Finally,comparative studies have been given between the proposed approach and some existing studies.The obtained results through comparative studies show that the proposed technique is more credible and reliable than existing approaches.

MABAC method for multiple attribute group decision making under q-rung orthopair fuzzy environment

As the generalization of intuitionistic fuzzy set(IFS) and Pythagorean fuzzy set(PFS),the q-rung orthopair fuzzy set(q-ROFS) has emerged as a more meaningful and effective tool to solve multiple attribute group decision making(MAGDM) problems in management and scientific domains.The MABAC(multi-attributive border approximation area comparison) model,which handles the complex and uncertain decision making issues by computing the distance between each alternative and the bored approximation area(BAA),has been investigated by an increasing number of researchers more recent years.In our article,consider the conventional MABAC model and some fundamental theories of q-rung orthopair fuzzy set(q-ROFS),we shall introduce the q-rung orthopair fuzzy MABAC model to solve MADM problems.at first,we briefly review some basic theories related to q-ROFS and conventional MABAC model.Furthermore,the q-rung orthopair fuzzy MABAC model is built and the decision making steps are described.In the end,An actual MADM application has been given to testify this new model and some comparisons between this novel MABAC modeL and two q-ROFNs aggregation operators are provided to further demonstrate the merits of the q-rung orthopair fuzzy MABAC model.

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 multiattribute 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.

基于双犹豫模糊信息的灰靶群决策方法

考虑到现实决策环境的不确定性与复杂性,提出一类新的双犹豫模糊环境下基于正负靶心的灰靶多属性群决策问题。首先,将双犹豫模糊理想最优方案定义为正靶心,将理想最劣方案定义为负靶心,正负靶心距则通过正负靶心与双犹豫模糊集的归一化汉明距离确定。然后,提出一种新的综合靶心距,用来评估方案与正负靶心之间的距离。再以综合靶心距最小为目标,建立一个非线性优化模型来确定最优属性权重信息。最后,通过算例证明了所建模型的有效性和可行性。

Fuzzy interval linguistic sets with applications in multi-attribute group decision making

Uncertain and hesitant information, widely existing in the real-world qualitative decision making problems, brings great challenges to decision makers. Hesitant fuzzy linguistic term sets(HFLTSs), an effective linguistic computational tool in modeling and eliciting such information, have hence aroused many scholars’ interests and some extensions have been introduced recently.However, these methods are based on the discrete linguistic term framework with the limited expression domain, which actually depict qualitative information using several single values. Therefore,it is hard to ensure the integrity of the semantics representation and the accuracy of the computation results. To deal with this problem, a semantics basis framework called complete linguistic term set(CLTS) is designed, which adopts a separation structure of linguistic scale and expression domain, enriching semantics representation of decision makers. On this basis the concept of fuzzy interval linguistic sets(FILSs) is put forward that employs the interval linguistic term with probability to increase the flexibility of eliciting and representing uncertain and hesitant qualitative information. For practical applications, a fuzzy interval linguistic technique for order preference by similarity to ideal solution(FILTOPSIS) method is developed to deal with multi-attribute group decision making(MAGDM) problems. Through the cases of movie and enterprise resource planning(ERP) system selection, the effectiveness and validity of the proposed method are illustrated.

基于综合相对交叉熵的多属性群决策方法

针对以区间二型模糊数为信息环境的多属性群决策问题,提出了一种基于全概率的综合相对交叉熵的决策方法;首先,给出区间二型模糊集的定义,熵及算术平均排序值公式;其次,基于区间二型模糊集的模糊性、犹豫性和区间性,定义了一种新的测量区间二型模糊集的相对交叉熵和综合相对交叉熵的方法,通过构造最优化线性模型求解出了属性权重并对每一方案的属性值进行集结得出最优方案;最后,通过实例分析验证了所提方法的可行性和有效性。

Solution to multiple attribute group decision making problems with two decision makers

A kind of multiple attribute group decision making （MAGDM） problem is discussed from the perspective of statistic decision-making. Firstly, on the basis of the stability theory, a new idea is proposed to solve this kind of problem. Secondly, a con- crete method corresponding to this kind of problem is proposed. The main tool of our research is the technique o~ the jackknife method. The main advantage of the new method is that it can identify and determine the reliability degree of the existed decision making information. Finally, a traffic engineering example is given to show the effectiveness of the new method.

一种基于语言D数的信息不完备多属性群决策方法

针对不完全的语言评价多属性群决策问题,提出了一种基于D数的解决方法.首先向专家介绍候选者及其属性指标等,专家在充分调研后对属性指标分别赋予相应的权重;然后专家采用相应的语言评价集对候选者的各属性进行评估,评估结果允许空值,即可以根据实际情况灵活评估,而不必受数据完整性约束;接着将评估结果基于D数的聚集属性进行融合,得到候选者的最终评价得分,并依此排序.实例应用验证了该方法的科学性和有效性.

基于混合QoS的大群用户服务选择

群体活动在日常生活中非常广泛,面向群体的信息服务提供是必需解决的问题。群体规模较大和混合数据类型QoS模型给Web服务选择带来巨大困难。基于混合QoS模型,借鉴多属性群决策理论,提出面向大群体用户的服务选择算法。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、计算贴进度。另外,还介绍了一种Web服务QoS模型,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,该算法能够很好地解决混合QoS模型的大规模群体用户的服务选择问题。

语言分布评估信息下的群决策方法及其群体一致性分析

本文提出了基于语言分布评估加权平均(DAWA)算子的多属性群决策方法;定义了个体决策者评价结果与决策群体评价结果的次序一致性和数值一致性测度,以此分析决策群体评价结果的可靠性;最后,通过具体实例验证了群决策方法的有效性和实用性,分析了个体决策者评价结果与决策群体评价结果的次序一致性和数值一致性。

大规模群决策的一种较优处理方法

文中从大数据环境下大规模群决策的角度出发,提出了基于专家判断信息的一致性进行专家分类,从而得到群决策中专家权重,求得最佳方案的方法。首先利用专家判断信息的序关系值向量求得专家判断信息的一致性,并对专家进行聚类;然后以类内专家判断偏差最小为目标,采用非线性规划模型对类内专家再次进行聚类;最后,对类内判断信息再次聚类结果进行分析,从而获得方案优劣排序和专家判断信息与群体决策结果一致性情况。采用文中方法进行算例的结果证明,此方面对于利用计算机解决大数据环境下大规模群决策问题具有一定启发。