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.

Linguistic Single-Valued Neutrosophic Power Aggregation Operators and Their Applications to Group Decision-Making Problems

Linguistic single-valued neutrosophic set(LSVNS)is a more reliable tool,which is designed to handle the uncertainties of the situations involving the qualitative data.In the present manuscript,we introduce some power aggregation operators(AOs)for the LSVNSs,whose purpose is to diminish the influence of inevitable arguments about the decision-making process.For it,first we develop some averaging power operators,namely,linguistic single-valued neutrosophic(LSVN)power averaging,weighted average,ordered weighted average,and hybrid averaging AOs along with their desirable properties.Further,we extend it to the geometric power AOs for LSVNSs.Based on the proposed work;an approach to solve the group decision-making problems is given along with the numerical example.Finally,a comparative study and the validity tests are present to discuss the reliability of the proposed operators.

Clustering Analysis of Black-start Decision-making with a Large Group of Decision-makers

The optimization of black-start decision-making plays an important role in the rapid restoration of a power system after a major failure/outage.With the introduction of the concept of smart grids and the development of real-time communication networks,the black-start decision-makers are no longer limited to only one or a few power system experts such as dispatchers,but rather a large group of professional people in practice.The overall behaviors of a large decision-making group of decision-makers/experts are more complicated and unpredictable.However,the existing methods for black-start decision-making cannot handle the situations with a large group of decision-makers.Given this background,a clustering algorithm is presented to optimize the black-start decision-making problem with a large group of decision-makers.Group decision-making preferences are obtained by clustering analysis,and the final black-start decision-making results are achieved by combining the weights of black-start indexes and the preferences of the decision-making group.The effectiveness of the proposed method is validated by a practical case.This work extends the black-start decision-making problem to situations with a large group of decision-makers.

Power Aggregation Operators and Similarity Measures Based on Improved Intuitionistic Hesitant Fuzzy Sets and their Applications to Multiple Attribute Decision Making

Intuitionistic hesitant fuzzy set(IHFS)is amixture of two separated notions called intuitionistic fuzzy set(IFS)and hesitant fuzzy set(HFS),as an important technique to cope with uncertain and awkward information in realistic decision issues.IHFS contains the grades of truth and falsity in the formof the subset of the unit interval.The notion of IHFS was defined by many scholars with different conditions,which contain several weaknesses.Here,keeping in view the problems of already defined IHFSs,we will define IHFS in another way so that it becomes compatible with other existing notions.To examine the interrelationship between any numbers of IHFSs,we combined the notions of power averaging(PA)operators and power geometric(PG)operators with IHFSs to present the idea of intuitionistic hesitant fuzzy PA(IHFPA)operators,intuitionistic hesitant fuzzy PG(IHFPG)operators,intuitionistic hesitant fuzzy power weighted average(IHFPWA)operators,intuitionistic hesitant fuzzy power ordered weighted average(IHFPOWA)operators,intuitionistic hesitant fuzzy power ordered weighted geometric(IHFPOWG)operators,intuitionistic hesitant fuzzy power hybrid average(IHFPHA)operators,intuitionistic hesitant fuzzy power hybrid geometric(IHFPHG)operators and examined as well their fundamental properties.Some special cases of the explored work are also discovered.Additionally,the similarity measures based on IHFSs are presented and their advantages are discussed along examples.Furthermore,we initiated a new approach to multiple attribute decision making(MADM)problem applying suggested operators and a mathematical model is solved to develop an approach and to establish its common sense and adequacy.Advantages,comparative analysis,and graphical representation of the presented work are elaborated to show the reliability and effectiveness of the presented works.

Analysis on decision-making model of plan evaluation based on grey relation projection and combination weight algorithm

In military service joint operations, when there are more operational forces, more multifarious materials are consumed, the support is more complex and fuzzy, the deployment of personnel is more rapid, and the support provided by wartime military material support powers can be more effective. When the principles,requirements, influencing factors and goals of military material support forces are deployed in wartime, an evaluation indicator system is established. Thus, a new combined empowerment method based on an analytic hierarchy process（AHP） is developed to calculate the subjective weights, and the rough entropy method is used to calculate the objective weights. Combination weights can be obtained by calculating the weight preference coefficient error, which is determined by combining the cooperative game method and the minimum deviation into objectives. This approach can determine the grey relation projection coefficient and synthesize the measure scheme superiority to finally optimize the deployment plan using the grey relation projection decision-making method. The results show that the method is feasible and effective;it can provide a more scientific and practical decision-making basis for the military material support power deployment in wartime.

Fuzzy Set Based Models and Methods of Decision Making and Power Engineering Problems

The results of research into the use of fuzzy set based models and methods of multicriteria decision making for solving power engineering problems are presented. Two general classes of models related to multiobjective (X,M> models) and multiattribute (X,R> models) problems are considered. The analysisX,M> of models is based on the use of the Bellman-Zadeh approach to decision making in a fuzzy environment. Its application conforms to the principle of guaranteed result and provides constructive lines in obtaining harmonious solutions on the basis of analyzing associated maxmin problems. Several techniques based on fuzzy preference modeling are considered for the analysis of?X,R> models. A review of the authors’ results associated with the application of these models and methods for solving diverse types of problems of power system and subsystems planning and operation is presented. The recent results on the use ofX,M> andX,R> models and methods of their analysis for the allocation of reactive power sources in distribution systems and for the prioritization in maintenance planning in distribution systems, respectively, are considered.

The Development of the Generation Expansion Planning System Using Multi-Criteria Decision Making Rule

The power expansion planning is large and capital intensive capacity planning. In the past, the expansion planning was established with the proper supply reliability in order to minimize social cost. However, such planning cannot be used in the power markets with many market participants. This paper proposed the power expansion planning process in the power markets. This system is composed of Regulator and Generation Company （GENCO）＇s model. Multi-criteria decision making rule is used for regulator model and several scenarios for GENCO model are applied.

Fuzzy Decision Method Applied in Action of Reactive Power Compensation Devices in Wind System

Frequent occurrence of large-scale cascading trip-off of wind turbine raises the concern about the decision process of ordered control of reactive power compensation devices. The theory of fuzzy multi-attribute decision making is adopted to ascertain the action sequence of reactive power compensation devices. First, a set of evaluation indexes including control sensitivity, regulation margin, response time, response level and cost is set up, and fuzziness of the proposed qualitative indexes is introduced to make them comparable to the proposed quantitative indexes. Then a method to calculate fuzzy weight of each index is put forward for evaluating relative importance of the proposed indexes. Finally, the action sequence of reactive power compensation devices is determined through the theory of fuzzy compromise decision making. The case study shows that the proposed method is effective to obtain the action sequence of reactive power compensation device which correspond to experience.

工程博弈论-工程优化决策中的博弈思想、原理及应用

实际工程优化决策问题中经常会面临多决策主体、多决策目标以及不确定性等复杂场景,常规的优化决策方法有较大局限性.受钱学森先生名著《工程控制论》的启发,将工程决策问题中应用博弈论基本概念、建模方法、求解算法并考虑复杂工程技术条件进行决策的理论称为“工程博弈论”.本文简要介绍了博弈论的基本理论,并阐释了工程博弈论“以均衡协调冲突”的基本思想.在此基础上分别介绍了不确定性决策问题的非合作工程博弈原理、多目标决策问题的合作工程博弈原理和多主体决策问题的演化工程博弈原理及其在能源电力系统中的部分典型工程应用.本文希望通过对相关进展的介绍可以吸引更多的研究者进入这一领域,共同完善工程博弈论的相关基础理论和方法,使之在更多的领域中得到更广泛的应用.

基于绿电减排量互认的建筑虚拟电厂电-碳双层协同决策机制

在“双碳”背景下,电-碳多政策并举和多市场并存局面带来了电能环境权益重复奖惩的问题。针对该问题,提出了基于减排量等效的绿色电力-国家核证自愿减排量(CCER)互认方法,将绿色电力的环境权益统一归属至用户侧,并以建筑主体为研究对象对互认方法进行验证。首先,依据减排特性差异,将建筑分为强制性建筑、减排性建筑、零碳建筑3类,以建筑虚拟电厂为CCER互认的代理。其次,针对建筑虚拟电厂内部CCER分配问题,提出了基于Shapley值法的分配方法,以保证分配的公平和合理性。然后,针对建筑主体面临的电-碳协同决策问题,提出了基于能源共享原则的电-碳双层协同交易机制,并基于主从博弈理论构建双层决策模型,结合供需比概念对模型进行凸化。最后,通过算例仿真验证了互认方法的可行性及电-碳双层协同决策机制的有效性。

基于POWER-SWOT分析上海市中医药事业发展的研究

目的:了解两轮“上海市中医药事业发展三年行动计划”实施后的发展现状,探索适合上海市中医药事业发展的战略重点。方法:运用POWERSWOT分析思路,通过文献、年鉴数据研究和专家咨询,建构SWOT矩阵。运用ANP分析计算各指标的优先权重值,TOPSIS多目标决策方法确定各策略方案的优先排序。结果:专家的积极指数为100%,对一级元素的权威程度均高于0.8,协调指数为0.28。最终,得到各战略方案排序:WO2>SO1>WO1>SO2,即健全优质高效的整合型医疗卫生服务体系,大力发展中医养生保健服务是重中之重。结论:在上海中医药发展进程中,健全优质高效的整合型中医医疗卫生服务体系最为重要。同时,对中医药事业的长期投入与规划、对中医药人才的多样化培养、对中医药传承创新的重视与支持这三大战略也不容忽视。实施政策的过程中,应重视各个政策之间的相互关联性,以期全面建设上海中医药事业的美好未来。

Basic Concept and Theoretical Study of Condition-based Maintenance for Power Transmission System

状态检修背景下,为解决电网运行整体与输变电设备个体之间的矛盾和冲突,在已有研究成果基础上,提出电网状态检修的概念,在输变电设备状态检修决策过程中,给出电网故障风险和电网检修风险的定义以及相应的量化表达式。依据设备状态预测,以电网故障风险和电网检修风险的和最小为目标,将设备检修、运行以及电网整体性能在概率引导下相互牵制,形成电网状态检修的数学模型,并给出相应的解决方法。最后,为验证该理论研究的可行性,分别以可靠性测试系统RBTS-BUS6和IEEE-RTS79系统为例,对各种情况进行分析,体现了预期的效果,并期望为电网检修与运行协调决策理论的深入研究提供必要的理论基础。

基于调和概率语言术语集的Power平均算子

实践发现现存概率语言Power平均算子在应用中存在概率信息丢失、计算过于繁琐等问题,针对这些问题,提出一种基于调和概率语言术语集的Power平均算子。结合新的基本运算法则与新的支撑度,给出新的概率语言Power平均算子、概率语言Power几何平均算子、概率语言Power加权平均算子、概率语言Power加权几何平均算子,同时论证分析了这几类新型算子的性质。最后通过实验数据,将提出的算子与现存算子进行对比分析,验证了所提算子的有效性与可行性。

新能源电力系统运行备用量化概率的预测-决策一体化探究

为解决新能源发电功率间歇性和随机性问题,基于大气混沌特性展开对新能源电力系统与运行备用量化概率的预测研究,运用极限学习机分位数回归预测减小预测误差,保障系统运行安全。提出概率预测-决策一体化方案,围绕人工智能驱动,采用极限学习机分位数回归引入气象特征挖掘非参数区间预测方式对现有成本区间预测、约束条件等进行优化,设计集概率预测与决策一体的机器学习模型。研究结果显示,该方法有效克服了以往预测结果误差大、决策性能不足问题,降低了模型的复杂性,提高了管理协同性,保障了电力系统的安全、高效运行。

基于K-均值聚类多场景时序特性分析的分布式电源多目标规划

若不考虑分布式电源出力及负荷需求的波动性及不确定性,可能导致分布式电源规划容量偏大或系统电压改善程度降低。深入分析分布式电源出力时序波动特性,并引入K-均值聚类多场景概率分析方法,以降低上述波动性及不确定性对配电网的影响;以最大化年寿命周期收益率和电压分布改善率作为目标函数,建立分布式电源多目标规划模型,并采用多目标复合微分进化算法对其求解和基于最短归一化距离法实现多目标总体最优解决策。以IEEE33节点配电系统为例进行分布式电源多目标规划,验证了所提方法的有效性和优越性。

基于绝对动能增量的扩展0-1规划在线准实时决策算法

在线准实时决策是新型稳定控制系统的核心。该文针对暂稳控制决策的非线性整数规划模型在建模和求解上的困难,利用发电机转子绝对动能增量指标来确定对策寻优的搜索边界和搜索方向,引入0-1整数规划隐数法,提出了基于转子绝对动能增量的在线准实时决策扩展0-1规划算法。该方法避免了穷尽式搜索,能够保证找到可行解和全局最优解,并具有很高的搜索效率。该算法结合基于逐步积分法的系统稳定性判别,其准确性高,计算时间适中,有良好的在线应用前景。

基于ANP-GCDM模型的风电项目经济外部性评价

对风电项目进行科学有效地经济外部性评价是引导风电项目科学开发和可持续发展的重要环节,因此有必要建立合理的风电项目经济外部性评价模型并对其进行评价。运用网络层次分析法(ANP)和灰色聚类决策模型(GCDM)对风电项目经济外部性进行了评价。首先,构建风电项目经济外部性评价指标体系;其次,介绍了基于ANP的灰色聚类决策评价模型;最后,通过实例对风电项目经济外部性进行了评价。算例分析验证了该模型的有效性和实用性。结果表明:风电项目具有很强的经济外部性,其正外部性在很大程度上优于负外部性;正外部性显著的主要原因来自于环境效益,负外部性主要来自于市场影响,环境效益和市场影响是影响风电项目经济外部性的最主要因素。

Multi-criteria decision making for nuclear power plant selection using fuzzy AHP:Evidence from Indonesia

In terms of planning aspect,nuclear power plant(NPP)development needs analyses,consideration,and right decision making due to multi criteria involved.This study prioritizes the best site development of Indonesian NPPs in terms of 21 social,economic,and technical perspectives which comprise transmission network,oper-ating cost,economic impact,geology,geotechnic,seismology,population density,environment,cooling water,meteorology,hydrology,proximity to hazardous facilities,topography,land use,proximity to wetland,evacu-ation route,security,transportation network,legal consideration,impact of tourism,land ownership,historical places,and public acceptance,all identified to be considerations for the best sites.Two Fuzzy algorithms(Chang’s Extent Analysis and Buckley’s Fuzzy AHP)were used to determine the criteria priorities as well as NPP site feasibility of two locations in Indonesia.The results found that geology,geotechnic,and seismology(SA1);security(SO1),population density(SA2),environment(SA3),and cooling water(SA4)had the highest priorities among the 21 criteria.Based on the 5 top priority criteria,West Kalimantan and East Kalimantan provinces serve as the best candidates for the NPP sites.Such an innovative and novel multi criteria Fuzzy AHP–based decision making(MCDM)approach has been proven to become a useful reference to select NPP sites in Indonesia.

基于SE-DEA的交叉效率模型的城市电网规划综合评判决策

针对城市电网规划综合评判因素的复杂性问题及超效率数据包络分析(SE-DEA)模型评价效率值的极端情形,提出在交叉效率模型的基础上引入SE-DEA模型,构建了基于SE-DEA的交叉效率评判模型,并建立了一套完整的电网规划综合评判体系。应用该模型的评价流程对一个实际电网规划算例进行了分析计算,得到的结果与SE-DEA法、区间层次法和模糊层次法的结果一致,是SE-DEA的均值,较SE-DEA模型效率值大小分布更加合理、有效,其评价结果科学、可行。

直觉模糊Power交叉影响算子及其应用

将Power算子推广到直觉模糊环境中,提出了直觉模糊Power交叉影响平均算子,考虑了不同直觉模糊集的隶属度与非隶属度之间可能存在的交叉影响,根据数学归纳法得到了其具体计算公式,并研究了其性质。实例说明了新的集成算子在多属性群决策应用中的有效性。将提出的算子与现存的直觉模糊Power平均算子做了稳定性比较。