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
The VIKOR(VlseKriterijumska Optimizacija I Kompromisno Resenje)method,which is a multi-criteria decision-making method,is examined in this paper.The VIKOR method,like other MCDM techniques such as the Technique for Or...The VIKOR(VlseKriterijumska Optimizacija I Kompromisno Resenje)method,which is a multi-criteria decision-making method,is examined in this paper.The VIKOR method,like other MCDM techniques such as the Technique for Order of Preference by Similarity to Ideal Solution(TOPSIS),is widely used to solve complex decision-making problems in various fields such as engineering,management,and finance.This paper provides an overview of the VIKOR method,including its application areas,advantages,and disadvantages.Besides,in this survey paper,the process steps of the VIKOR method are described,including determining the decision matrix,normalizing the matrix,determining the weights of the criteria,calculating the utility and regret values,calculating the VIKOR index,and finally ranking the alternatives.By providing an overview of the VIKOR method and its process steps,this paper aims to provide a better understanding of the method and its potential application in different decision-making contexts.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
针对属性与决策者权重未知且方案属性值为直觉模糊数的多属性决策问题,并充分考虑直觉模糊环境下信息波动性与不具体性,提出了一种基于新的直觉模糊距离测度和多准则妥协解排序(VlseKriterijumska optimizacija I kompromisno resenje,V...针对属性与决策者权重未知且方案属性值为直觉模糊数的多属性决策问题,并充分考虑直觉模糊环境下信息波动性与不具体性,提出了一种基于新的直觉模糊距离测度和多准则妥协解排序(VlseKriterijumska optimizacija I kompromisno resenje,VIKOR)法的多属性决策方法。首先拓展补充了直觉模糊距离测度的定义,在此基础上构建了新的直觉模糊距离公式以减少决策信息缺乏,利用直觉模糊熵确定属性与决策者权重,然后再运用新的直觉模糊距离计算VIKOR法中的群体效用和个体后悔度进而得到决策结果,最后,通过实际案例分析验证了该方法的合理性与有效性。展开更多
针对以往定性概念量化过程中只考虑到模糊性这一不确定性因素的不足,采用云模型从模糊性和随机性两个方面实现语义评价变量的量化,并对专家组的语义评价信息进行集结。针对以往云差异性度量方法的不足,基于云模型构成的本质特点,从云滴...针对以往定性概念量化过程中只考虑到模糊性这一不确定性因素的不足,采用云模型从模糊性和随机性两个方面实现语义评价变量的量化,并对专家组的语义评价信息进行集结。针对以往云差异性度量方法的不足,基于云模型构成的本质特点,从云滴分布的角度提出了云距离测度算法,进而提出了云相似度算法。考虑到决策指标间相互影响关系,将云模型与决策试验与实验评估法(Decision-Making Trial and Evaluation Laboratory,DEMATEL)相结合,采用云DEMATEL法对专家主观评价给出的指标初始重要度进行修正,进而计算得到指标权重。采用云距离算法计算备选方案与正、负理想解间的距离,并最终由云VIKOR求得备选方案的妥协解。最后以实例验证了所提方法的可行性和有效性。展开更多
为解决概率语言环境下评价信息提取不合理、由学识差异导致决策不够科学高效、传统排序方法区分度不足等问题,提出一种基于累积前景理论和学识评级的改进的概率语言多准则妥协解(probabilistic linguistic vlsekriterijumska optimizaci...为解决概率语言环境下评价信息提取不合理、由学识差异导致决策不够科学高效、传统排序方法区分度不足等问题,提出一种基于累积前景理论和学识评级的改进的概率语言多准则妥协解(probabilistic linguistic vlsekriterijumska optimizacija I kompromisno resenje, PL-VIKOR)群决策方法。首先,基于累积前景理论将概率语言的术语值和概率值融合为综合值;其次,结合主观自我评估与客观社会评级,确定综合权重,以最大化专业贡献度;然后,建立以综合权重为调节依据的修正公式快速实现群体共识;而后,通过引入夹角余弦值提升了VIKOR方法的性能;最后,通过抽水储能项目的选址应用及对比分析,验证了所提方法的有效性和合理性。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The VIKOR(VlseKriterijumska Optimizacija I Kompromisno Resenje)method,which is a multi-criteria decision-making method,is examined in this paper.The VIKOR method,like other MCDM techniques such as the Technique for Order of Preference by Similarity to Ideal Solution(TOPSIS),is widely used to solve complex decision-making problems in various fields such as engineering,management,and finance.This paper provides an overview of the VIKOR method,including its application areas,advantages,and disadvantages.Besides,in this survey paper,the process steps of the VIKOR method are described,including determining the decision matrix,normalizing the matrix,determining the weights of the criteria,calculating the utility and regret values,calculating the VIKOR index,and finally ranking the alternatives.By providing an overview of the VIKOR method and its process steps,this paper aims to provide a better understanding of the method and its potential application in different decision-making contexts.
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。
文摘针对属性与决策者权重未知且方案属性值为直觉模糊数的多属性决策问题,并充分考虑直觉模糊环境下信息波动性与不具体性,提出了一种基于新的直觉模糊距离测度和多准则妥协解排序(VlseKriterijumska optimizacija I kompromisno resenje,VIKOR)法的多属性决策方法。首先拓展补充了直觉模糊距离测度的定义,在此基础上构建了新的直觉模糊距离公式以减少决策信息缺乏,利用直觉模糊熵确定属性与决策者权重,然后再运用新的直觉模糊距离计算VIKOR法中的群体效用和个体后悔度进而得到决策结果,最后,通过实际案例分析验证了该方法的合理性与有效性。
文摘针对以往定性概念量化过程中只考虑到模糊性这一不确定性因素的不足,采用云模型从模糊性和随机性两个方面实现语义评价变量的量化,并对专家组的语义评价信息进行集结。针对以往云差异性度量方法的不足,基于云模型构成的本质特点,从云滴分布的角度提出了云距离测度算法,进而提出了云相似度算法。考虑到决策指标间相互影响关系,将云模型与决策试验与实验评估法(Decision-Making Trial and Evaluation Laboratory,DEMATEL)相结合,采用云DEMATEL法对专家主观评价给出的指标初始重要度进行修正,进而计算得到指标权重。采用云距离算法计算备选方案与正、负理想解间的距离,并最终由云VIKOR求得备选方案的妥协解。最后以实例验证了所提方法的可行性和有效性。
文摘为解决概率语言环境下评价信息提取不合理、由学识差异导致决策不够科学高效、传统排序方法区分度不足等问题,提出一种基于累积前景理论和学识评级的改进的概率语言多准则妥协解(probabilistic linguistic vlsekriterijumska optimizacija I kompromisno resenje, PL-VIKOR)群决策方法。首先,基于累积前景理论将概率语言的术语值和概率值融合为综合值;其次,结合主观自我评估与客观社会评级,确定综合权重,以最大化专业贡献度;然后,建立以综合权重为调节依据的修正公式快速实现群体共识;而后,通过引入夹角余弦值提升了VIKOR方法的性能;最后,通过抽水储能项目的选址应用及对比分析,验证了所提方法的有效性和合理性。
