With the development of big data and social computing,large-scale group decisionmaking(LGDM)is nowmerging with social networks.Using social network analysis(SNA),this study proposes an LGDM consensus model that consid...With the development of big data and social computing,large-scale group decisionmaking(LGDM)is nowmerging with social networks.Using social network analysis(SNA),this study proposes an LGDM consensus model that considers the trust relationship among decisionmakers(DMs).In the process of consensusmeasurement:the social network is constructed according to the social relationship among DMs,and the Louvain method is introduced to classify social networks to form subgroups.In this study,the weights of each decision maker and each subgroup are computed by comprehensive network weights and trust weights.In the process of consensus improvement:A feedback mechanism with four identification and two direction rules is designed to guide the consensus of the improvement process.Based on the trust relationship among DMs,the preferences are modified,and the corresponding social network is updated to accelerate the consensus.Compared with the previous research,the proposedmodel not only allows the subgroups to be reconstructed and updated during the adjustment process,but also improves the accuracy of the adjustment by the feedbackmechanism.Finally,an example analysis is conducted to verify the effectiveness and flexibility of the proposed method.Moreover,compared with previous studies,the superiority of the proposed method in solving the LGDM problem is highlighted.展开更多
This paper proposes a mathod of subjective trade-off rate which describles decision-maker's preferince in multiobjective decision-making. Decision-maker can arbitrarity determine his subjective trade-off rate,but ...This paper proposes a mathod of subjective trade-off rate which describles decision-maker's preferince in multiobjective decision-making. Decision-maker can arbitrarity determine his subjective trade-off rate,but it is not sure to be effective.The paper finds aft effective upper bound of subjective trade-off rate,which is the KuhnThcker multiplier of some mathematical programming.For the anbjective trade-off rate not being larger than the upper bonnd,the solving method and properties of the optimal solution corresponding tile trade-off rate are discussed.The paper lastly develops the process of solving multiobjective decision-making with the subjective trade-off rate method.展开更多
A method of minimizing rankings inconsistency is proposed for a decision-making problem with rankings of alternatives given by multiple decision makers according to multiple criteria. For each criteria, at first, the ...A method of minimizing rankings inconsistency is proposed for a decision-making problem with rankings of alternatives given by multiple decision makers according to multiple criteria. For each criteria, at first, the total inconsistency between the rankings of all alternatives for the group and the ones for every decision maker is defined after the decision maker weights in respect to the criteria are considered. Similarly, the total inconsistency between their final rankings for the group and the ones under every criteria is determined after the criteria weights are taken into account. Then two nonlinear integer programming models minimizing respectively the two total inconsistencies above are developed and then transformed to two dynamic programming models to obtain separately the rankings of all alternatives for the group with respect to each criteria and their final rankings. A supplier selection case illustrated the proposed method, and some discussions on the results verified its effectiveness. This work develops a new measurement of ordinal preferences’ inconsistency in multi-criteria group decision-making （MCGDM） and extends the cook-seiford social selection function to MCGDM considering weights of criteria and decision makers and can obtain unique ranking result.展开更多
The first time I logged onto Facebook was August 26, 2006. My first posts were sent to my friend Alfred, who was in art dass with me during my undergradu- ate studies. Over the years, we have lost contact, but I still...The first time I logged onto Facebook was August 26, 2006. My first posts were sent to my friend Alfred, who was in art dass with me during my undergradu- ate studies. Over the years, we have lost contact, but I still remember all of the times we used to make fun of people who couldn＇t understand why Duch- anap＇s Fountain was art. Six years later, Alfred and I are on different continents. When he is online, the chat bar pops up and we go back to our usual banter and make fun of people.展开更多
基金The work was supported by Humanities and Social Sciences Fund of the Ministry of Education(No.22YJA630119)the National Natural Science Foundation of China(No.71971051)Natural Science Foundation of Hebei Province(No.G2021501004).
文摘With the development of big data and social computing,large-scale group decisionmaking(LGDM)is nowmerging with social networks.Using social network analysis(SNA),this study proposes an LGDM consensus model that considers the trust relationship among decisionmakers(DMs).In the process of consensusmeasurement:the social network is constructed according to the social relationship among DMs,and the Louvain method is introduced to classify social networks to form subgroups.In this study,the weights of each decision maker and each subgroup are computed by comprehensive network weights and trust weights.In the process of consensus improvement:A feedback mechanism with four identification and two direction rules is designed to guide the consensus of the improvement process.Based on the trust relationship among DMs,the preferences are modified,and the corresponding social network is updated to accelerate the consensus.Compared with the previous research,the proposedmodel not only allows the subgroups to be reconstructed and updated during the adjustment process,but also improves the accuracy of the adjustment by the feedbackmechanism.Finally,an example analysis is conducted to verify the effectiveness and flexibility of the proposed method.Moreover,compared with previous studies,the superiority of the proposed method in solving the LGDM problem is highlighted.
文摘This paper proposes a mathod of subjective trade-off rate which describles decision-maker's preferince in multiobjective decision-making. Decision-maker can arbitrarity determine his subjective trade-off rate,but it is not sure to be effective.The paper finds aft effective upper bound of subjective trade-off rate,which is the KuhnThcker multiplier of some mathematical programming.For the anbjective trade-off rate not being larger than the upper bonnd,the solving method and properties of the optimal solution corresponding tile trade-off rate are discussed.The paper lastly develops the process of solving multiobjective decision-making with the subjective trade-off rate method.
基金supported by the National Natural Science Foundation of China (60904059 60975049)+1 种基金the Philosophy and Social Science Foundation of Hunan Province (2010YBA104)the National High Technology Research and Development Program of China (863 Program)(2009AA04Z107)
文摘A method of minimizing rankings inconsistency is proposed for a decision-making problem with rankings of alternatives given by multiple decision makers according to multiple criteria. For each criteria, at first, the total inconsistency between the rankings of all alternatives for the group and the ones for every decision maker is defined after the decision maker weights in respect to the criteria are considered. Similarly, the total inconsistency between their final rankings for the group and the ones under every criteria is determined after the criteria weights are taken into account. Then two nonlinear integer programming models minimizing respectively the two total inconsistencies above are developed and then transformed to two dynamic programming models to obtain separately the rankings of all alternatives for the group with respect to each criteria and their final rankings. A supplier selection case illustrated the proposed method, and some discussions on the results verified its effectiveness. This work develops a new measurement of ordinal preferences’ inconsistency in multi-criteria group decision-making （MCGDM） and extends the cook-seiford social selection function to MCGDM considering weights of criteria and decision makers and can obtain unique ranking result.
文摘The first time I logged onto Facebook was August 26, 2006. My first posts were sent to my friend Alfred, who was in art dass with me during my undergradu- ate studies. Over the years, we have lost contact, but I still remember all of the times we used to make fun of people who couldn＇t understand why Duch- anap＇s Fountain was art. Six years later, Alfred and I are on different continents. When he is online, the chat bar pops up and we go back to our usual banter and make fun of people.
