A decision-making model with sequential incomplete additive pairwise comparisons
A decision-making model with sequential incomplete additive pairwise comparisons
复制标题
具有顺序不完全加性成对比较的决策模型
DOI：
10.1016/j.knosys.2021.107766
复制
发表时间：
2021-11
影响因子：
8.8
通讯作者：
Herrera-Viedma Enrique
中科院分区：
文献类型：
--
作者：
Zhang Jia-Wei;Liu Fang;Tu Huo-Nian;Herrera-Viedma Enrique
两两比较的顺序模型展示了有效地处理决策过程中的一些复杂性的能力。当决策问题的复杂性导致不完全两两比较时，可行的最优解方法是值得研究的。在本文中，我们提出了缺失值主要依赖于比较序列中相邻值的思想，并建立了一个决策模型。首先，通过建立序贯模型来捕捉缺失值的可加性两两比较，并研究了一些性质。其次，提出了不完全加性互反矩阵(ARM)的优化模型。在序列模型的基础上，利用粒子群优化算法(PSO)估计不完整武器的缺失值。与以往的研究不同，考虑了备选方案的排列，以给出对缺失值的各种估计。第三，提出了一种基于粒度的方法来提高完备性ARM的加性一致性，并选择了最佳的粒度级别。最后，建立了一个决策算法，将决策者的意见表示为不完整的ARM。通过算例说明了一个决策问题可能存在多个最优解。这一新的现象符合这样的情况，即由于人类起源的信息不一致，不同的比较方案的顺序可能会产生不同的结果。
A sequential modelling of pairwise comparisons exhibits the capability to effectively cope with some complexity in a decision making process. When the complexity of decision making problems leads to incomplete pairwise comparisons, a feasible approach to optimal solutions is worth investigations. In this paper, we propose the idea that a missing value is mainly dependent on the neighbour ones in a sequential of comparisons; and develop a decision making model. First, additive pairwise comparisons with missing values are captured by proposing a sequential model and some properties are studied. Second, an optimization model for completing an incomplete additive reciprocal matrix (ARM) is recalled. Based on the sequential model, the missing values of incomplete ARMs are estimated using particle swarm optimization (PSO). Different with the previous studies, the permutations of alternatives are considered to give various estimations of a missing value. Third, a granularity-based method is proposed to improve additive consistency of a completed ARM; and the best granularity level is chosen. Finally, a decision-making algorithm is established, where the opinions of decision makers (DMs) are expressed as incomplete ARMs. Some cases are studied to illustrate the finding that multi-optimal solutions could exist in a decision making problem. The novel phenomenon is in agreement with the case that different orders of comparing alternatives may yield different results due to the inconsistency of human-originated information.
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影响因子：
--
作者：
ZADEH, LA
通讯作者：
ZADEH, LA
不完全模糊偏好关系群体决策的优先级对数最小二乘法
影响因子：
5
作者：
Yejun Xu;Ravi Patnayakuni;Huimin Wang
通讯作者：
Huimin Wang
DOI：
10.1049/pbpo161e_ch3
发表时间：
2021-07
期刊：
Artificial Intelligence for Smarter Power Systems: Fuzzy logic and neural networks
影响因子：
--
作者：
通讯作者：
--
影响因子：
7
作者：
Alonso, S.;Chiclana, F.;Porcel, C.
通讯作者：
Porcel, C.
影响因子：
4.1
作者：
Zeshui Xu;Jing Chen
通讯作者：
Zeshui Xu;Jing Chen