The class of multiple attribute decision making(MADM)problems is studied,where the attribute values are intuitionistic fuzzy numbers,and the information about attribute weights is completely unknown.A score function i...The class of multiple attribute decision making(MADM)problems is studied,where the attribute values are intuitionistic fuzzy numbers,and the information about attribute weights is completely unknown.A score function is first used to calculate the score of each attribute value and a score matrix is constructed,and then it is transformed into a normalized score matrix.Based on the normalized score matrix,an entropy-based procedure is proposed to derive attribute weights.Furthermore,the additive weighted averaging operator is utilized to fuse all the normalized scores into the overall scores of alternatives,by which the ranking of all the given alternatives is obtained.This paper is concluded by extending the above results to interval-valued intuitionistic fuzzy set theory,and an illustrative example is also provided.展开更多
供应链的发展与变迁早已与现代社会中的每一个人息息相关。无论是趋向可持续性和数字化的主动转型,还是动荡世界局势下的被动变革,遍及全球、全方位深入生产生活的供应链实力已成为决定经济增长态势、提升国际竞争力的关键因素之一。博...供应链的发展与变迁早已与现代社会中的每一个人息息相关。无论是趋向可持续性和数字化的主动转型,还是动荡世界局势下的被动变革,遍及全球、全方位深入生产生活的供应链实力已成为决定经济增长态势、提升国际竞争力的关键因素之一。博弈论在探索供应链中广受关注的主体协作关系方面发挥着重要作用,相应的研究成果众多且内涵丰富。基于从中国知网学术期刊库和Web of Science核心合集获取的3374篇中英文文献,并利用Vosviewer、CiteSpace和Bibliometrix等常用可视化工具,全面的文献计量分析得以展开。一方面,分析结果揭开了相应文献中包括作者、期刊、机构等层次在内的研究主体特征;另一方面,高被引文献分析、关键词共现分析、关键词突发检测和话题变化趋势等特定分析勾勒出了领域内研究主题分布及热点变迁情况。由此,中国在该领域中贡献颇丰且供应链的绿色转型全面铺开等现状得以显现,且数字化时代和后疫情时代下的供应链发展趋势也被加以关注与探讨。展开更多
Intuitionistic fuzzy set(IFS)is a set of 2-tuple arguments,each of which is characterized by a membership degree and a nonmembership degree.The generalized form of IFS is interval-valued intuitionistic fuzzy set(IVIFS...Intuitionistic fuzzy set(IFS)is a set of 2-tuple arguments,each of which is characterized by a membership degree and a nonmembership degree.The generalized form of IFS is interval-valued intuitionistic fuzzy set(IVIFS),whose components are intervals rather than exact numbers.IFSs and IVIFSs have been found to be very useful to describe vagueness and uncertainty.However,it seems that little attention has been focused on the clustering analysis of IFSs and IVIFSs.An intuitionistic fuzzy hierarchical algorithm is introduced for clustering IFSs,which is based on the traditional hierarchical clustering procedure,the intuitionistic fuzzy aggregation operator,and the basic distance measures between IFSs:the Hamming distance,normalized Hamming,weighted Hamming,the Euclidean distance,the normalized Euclidean distance,and the weighted Euclidean distance.Subsequently,the algorithm is extended for clustering IVIFSs.Finally the algorithm and its extended form are applied to the classifications of building materials and enterprises respectively.展开更多
On the basis of weight matrix, this paper presents a new optimizing approach to calculate priorities in the analytic hierarchy process(AHP), this method is a development of the synthetichierarchy method, which was pro...On the basis of weight matrix, this paper presents a new optimizing approach to calculate priorities in the analytic hierarchy process(AHP), this method is a development of the synthetichierarchy method, which was proposed by Lipovetsky in [2], it enables the united consideration of allhorizontal and vertical connections of a hierarchical system in a single optimizing objective functionbased on statistical models of the synthesis process. The ultimate priority vector is proportional tothe solution of a linear system or an eigenproblem of a matrix. A numerical example is also given.Theoretical analyses and the numerical example all show that the method is more practical and needsless time for obtaining priorities than that of IZ].展开更多
基金supported by the National Science Fund for Distinguished Young Scholars of China(70625005).
文摘The class of multiple attribute decision making(MADM)problems is studied,where the attribute values are intuitionistic fuzzy numbers,and the information about attribute weights is completely unknown.A score function is first used to calculate the score of each attribute value and a score matrix is constructed,and then it is transformed into a normalized score matrix.Based on the normalized score matrix,an entropy-based procedure is proposed to derive attribute weights.Furthermore,the additive weighted averaging operator is utilized to fuse all the normalized scores into the overall scores of alternatives,by which the ranking of all the given alternatives is obtained.This paper is concluded by extending the above results to interval-valued intuitionistic fuzzy set theory,and an illustrative example is also provided.
文摘供应链的发展与变迁早已与现代社会中的每一个人息息相关。无论是趋向可持续性和数字化的主动转型,还是动荡世界局势下的被动变革,遍及全球、全方位深入生产生活的供应链实力已成为决定经济增长态势、提升国际竞争力的关键因素之一。博弈论在探索供应链中广受关注的主体协作关系方面发挥着重要作用,相应的研究成果众多且内涵丰富。基于从中国知网学术期刊库和Web of Science核心合集获取的3374篇中英文文献,并利用Vosviewer、CiteSpace和Bibliometrix等常用可视化工具,全面的文献计量分析得以展开。一方面,分析结果揭开了相应文献中包括作者、期刊、机构等层次在内的研究主体特征;另一方面,高被引文献分析、关键词共现分析、关键词突发检测和话题变化趋势等特定分析勾勒出了领域内研究主题分布及热点变迁情况。由此,中国在该领域中贡献颇丰且供应链的绿色转型全面铺开等现状得以显现,且数字化时代和后疫情时代下的供应链发展趋势也被加以关注与探讨。
基金supported by the National Natural Science Foundation of China(70571087)the National Science Fund for Distinguished Young Scholars of China(70625005)
文摘Intuitionistic fuzzy set(IFS)is a set of 2-tuple arguments,each of which is characterized by a membership degree and a nonmembership degree.The generalized form of IFS is interval-valued intuitionistic fuzzy set(IVIFS),whose components are intervals rather than exact numbers.IFSs and IVIFSs have been found to be very useful to describe vagueness and uncertainty.However,it seems that little attention has been focused on the clustering analysis of IFSs and IVIFSs.An intuitionistic fuzzy hierarchical algorithm is introduced for clustering IFSs,which is based on the traditional hierarchical clustering procedure,the intuitionistic fuzzy aggregation operator,and the basic distance measures between IFSs:the Hamming distance,normalized Hamming,weighted Hamming,the Euclidean distance,the normalized Euclidean distance,and the weighted Euclidean distance.Subsequently,the algorithm is extended for clustering IVIFSs.Finally the algorithm and its extended form are applied to the classifications of building materials and enterprises respectively.
文摘On the basis of weight matrix, this paper presents a new optimizing approach to calculate priorities in the analytic hierarchy process(AHP), this method is a development of the synthetichierarchy method, which was proposed by Lipovetsky in [2], it enables the united consideration of allhorizontal and vertical connections of a hierarchical system in a single optimizing objective functionbased on statistical models of the synthesis process. The ultimate priority vector is proportional tothe solution of a linear system or an eigenproblem of a matrix. A numerical example is also given.Theoretical analyses and the numerical example all show that the method is more practical and needsless time for obtaining priorities than that of IZ].
