VlseKriterijumska Optimizacija I Kompromisno Resenje(VIKOR)has been developed and applied for over twenty-five years,gaining recognition as a prominent multi-criteria decision-making(MCDM)method.Over this period,numer...VlseKriterijumska Optimizacija I Kompromisno Resenje(VIKOR)has been developed and applied for over twenty-five years,gaining recognition as a prominent multi-criteria decision-making(MCDM)method.Over this period,numerous studies have explored its applications,conducted comparative analyses,integrated it with other methods,and proposed various modifications to enhance its performance.This paper aims to delve into the fundamental principles and objectives of VIKOR,which aim to maximize group utility and minimize individual regret simultaneously.However,this study identifies a significant limitation in the VIKOR methodology:its process amplifies the weight of individual regret,and the calculated index values further magnify this effect.This phenomenon not only affects the decision-making balance but also leads to the critical issue of ranking reversal,which undermines the reliability of the results.To address these shortcomings,this paper introduces an enhanced version of VIKOR that mitigates the impact of individual regret while preserving the method’s original objectives.This paper validates the effectiveness of the proposed enhanced VIKOR method using various MCDM approaches,including(1)ten different versions of VIKOR and(2)eleven commonly used MCDM methods.Furthermore,this study confirms that the enhanced VIKOR can be effectively applied across various existing VIKOR versions,broadening its adaptability.A sensitivity analysis is additionally performed by adjusting the criteria weights using the ordered weighted averaging method.An illustrative case study involving the selection of a manufacturing process validates the proposed model.The results show that the proposed model is robust and capable of producing more reliable outcomes.It also demonstrates its practicality and effectiveness in real-world decision-making scenarios.展开更多
针对装备征用动员中器材需求不确定性大、响应时效性和质量要求高等特点,构建基于军事供应链的装备器材供应商选优评价准则体系,为解决不同准则带来的多种异质评价信息及准则权重、决策者权重均未知的多准则群决策问题,提出了一种基于...针对装备征用动员中器材需求不确定性大、响应时效性和质量要求高等特点,构建基于军事供应链的装备器材供应商选优评价准则体系,为解决不同准则带来的多种异质评价信息及准则权重、决策者权重均未知的多准则群决策问题,提出了一种基于直觉模糊熵和扩展多准则妥协解(VlseKriterijumska Optimizacija I Kompromisno Resenje,VIKOR)框架的决策方法。首先,采用包含隶属度与非隶属度偏差及犹豫度信息的直觉模糊熵,基于熵权法和权重协调系数确定综合准则权重;其次,综合考虑决策矩阵直觉模糊熵和距离测度,建立一种新的决策者权重方法;然后,采用直觉模糊加权平均算子得到决策者和决策群体综合评价矩阵;最后,将VIKOR方法扩展到直觉模糊语言环境,对备选供应商进行折衷排序和选优。展开更多
In view of the fact that traditional air target threat assessment methods are difficult to reflect the combat characteristics of uncertain, dynamic and hybrid formation, an algorithm is proposed to solve the multi-tar...In view of the fact that traditional air target threat assessment methods are difficult to reflect the combat characteristics of uncertain, dynamic and hybrid formation, an algorithm is proposed to solve the multi-target threat assessment problems. The target attribute weight is calculated by the intuitionistic fuzzy entropy(IFE) algorithm and the time series weight is gained by the Poisson distribution method based on multi-times data. Finally,assessment and sequencing of the air multi-target threat model based on IFE and dynamic Vlse Kriterijumska Optimizacija I Kompromisno Resenje(VIKOR) is established with an example which indicates that the method is reasonable and effective.展开更多
为了科学准确地对终端区管制运行效率进行评估,考虑终端区管制系统运行过程与特点,建立了终端区管制系统运行效率评估指标体系。应用三角模糊数法和熵权法分别求出各指标的主观权重和客观权重,利用最小相对信息熵法得出两种权重的组合...为了科学准确地对终端区管制运行效率进行评估,考虑终端区管制系统运行过程与特点,建立了终端区管制系统运行效率评估指标体系。应用三角模糊数法和熵权法分别求出各指标的主观权重和客观权重,利用最小相对信息熵法得出两种权重的组合权重。基于折衷排序法(vlsekriterijumska optimizacija I kompromisno resenje,VIKOR)法构建终端区管制运行效率评估模型,计算终端区管制运行效率指数值,根据运行效率指数值的大小对终端区管制系统进行效率评估,并将评估结果灰色关联分析(gray relation analysis,GRA)和逼近理想解排序(technique for order preference by similarity to ideal solution,TOPSIS)结合法的评估结果进行对比,验证了该评估模型的合理性。展开更多
基金supported by the National Science and Technology Council(NSTC)Taiwan(Grant No.NSTC 113-2222-E-029-005),with additional computational resources provided by the projectThe work of Josef Jablonsky was supprted by the Faculty of Informatics and Statistics,Prague University of Economics and Business。
文摘VlseKriterijumska Optimizacija I Kompromisno Resenje(VIKOR)has been developed and applied for over twenty-five years,gaining recognition as a prominent multi-criteria decision-making(MCDM)method.Over this period,numerous studies have explored its applications,conducted comparative analyses,integrated it with other methods,and proposed various modifications to enhance its performance.This paper aims to delve into the fundamental principles and objectives of VIKOR,which aim to maximize group utility and minimize individual regret simultaneously.However,this study identifies a significant limitation in the VIKOR methodology:its process amplifies the weight of individual regret,and the calculated index values further magnify this effect.This phenomenon not only affects the decision-making balance but also leads to the critical issue of ranking reversal,which undermines the reliability of the results.To address these shortcomings,this paper introduces an enhanced version of VIKOR that mitigates the impact of individual regret while preserving the method’s original objectives.This paper validates the effectiveness of the proposed enhanced VIKOR method using various MCDM approaches,including(1)ten different versions of VIKOR and(2)eleven commonly used MCDM methods.Furthermore,this study confirms that the enhanced VIKOR can be effectively applied across various existing VIKOR versions,broadening its adaptability.A sensitivity analysis is additionally performed by adjusting the criteria weights using the ordered weighted averaging method.An illustrative case study involving the selection of a manufacturing process validates the proposed model.The results show that the proposed model is robust and capable of producing more reliable outcomes.It also demonstrates its practicality and effectiveness in real-world decision-making scenarios.
文摘针对装备征用动员中器材需求不确定性大、响应时效性和质量要求高等特点,构建基于军事供应链的装备器材供应商选优评价准则体系,为解决不同准则带来的多种异质评价信息及准则权重、决策者权重均未知的多准则群决策问题,提出了一种基于直觉模糊熵和扩展多准则妥协解(VlseKriterijumska Optimizacija I Kompromisno Resenje,VIKOR)框架的决策方法。首先,采用包含隶属度与非隶属度偏差及犹豫度信息的直觉模糊熵,基于熵权法和权重协调系数确定综合准则权重;其次,综合考虑决策矩阵直觉模糊熵和距离测度,建立一种新的决策者权重方法;然后,采用直觉模糊加权平均算子得到决策者和决策群体综合评价矩阵;最后,将VIKOR方法扩展到直觉模糊语言环境,对备选供应商进行折衷排序和选优。
基金supported by the National Natural Science Foundation of China(61401363)the Science and Technology on Avionics Integration Laboratory and Aeronautical Science Foundation(20155153034)+1 种基金the Innovative Talents Promotion Plan in Shaanxi Province(2017KJXX-15)the Fundamental Research Funds for the Central Universities(3102016AXXX005)
文摘In view of the fact that traditional air target threat assessment methods are difficult to reflect the combat characteristics of uncertain, dynamic and hybrid formation, an algorithm is proposed to solve the multi-target threat assessment problems. The target attribute weight is calculated by the intuitionistic fuzzy entropy(IFE) algorithm and the time series weight is gained by the Poisson distribution method based on multi-times data. Finally,assessment and sequencing of the air multi-target threat model based on IFE and dynamic Vlse Kriterijumska Optimizacija I Kompromisno Resenje(VIKOR) is established with an example which indicates that the method is reasonable and effective.
文摘为了科学准确地对终端区管制运行效率进行评估,考虑终端区管制系统运行过程与特点,建立了终端区管制系统运行效率评估指标体系。应用三角模糊数法和熵权法分别求出各指标的主观权重和客观权重,利用最小相对信息熵法得出两种权重的组合权重。基于折衷排序法(vlsekriterijumska optimizacija I kompromisno resenje,VIKOR)法构建终端区管制运行效率评估模型,计算终端区管制运行效率指数值,根据运行效率指数值的大小对终端区管制系统进行效率评估,并将评估结果灰色关联分析(gray relation analysis,GRA)和逼近理想解排序(technique for order preference by similarity to ideal solution,TOPSIS)结合法的评估结果进行对比,验证了该评估模型的合理性。
