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The distance measure on consensus decision making based on primal-dual programming models

机译:基于原对偶规划模型的共识决策距离度量

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This paper investigates the consensus problem based on minimum cost and maximum return by utilizing primal-dual programming models. The primal problem is a linear programming model based on minimum cost of reaching consensus, and its dual problem is a linear programming based on maximum return of reaching consensus. By using the dual linear programming theories, this paper not only discusses the relation between the minimum cost that the moderator paid the individuals and the maximum returns that the individuals expected to receive for changing the opinion, but also explored the relation between the unit cost that the moderator would pay each individual and the unit return that each individual would receive from the moderator.
机译:本文利用原始对偶规划模型研究了基于最小成本和最大回报的共识问题。首要问题是基于达成共识的最小代价的线性规划模型,而其双重问题是基于达成共识的最大回报的线性规划。通过使用双重线性规划理论,本文不仅讨论了主持人付给个人的最低成本与个人期望为改变观点而期望获得的最大回报之间的关系,而且还探讨了单位成本之间的关系。主持人将向每个人付款,每个人将从主持人那里收到的单位收益。

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