The SMAA-TWD model: A novel stochastic multi-attribute three-way decision with interrelated attributes in triangular fuzzy information systems
The SMAA-TWD model: A novel stochastic multi-attribute three-way decision with interrelated attributes in triangular fuzzy information systems
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SMAA-TWD 模型：三角模糊信息系统中具有相互关联属性的新型随机多属性三向决策
DOI：
10.1016/j.ins.2022.10.117
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发表时间：
2022-11
影响因子：
8.1
通讯作者：
Jingfeng Shan
中科院分区：
文献类型：
--
作者：
Qian Zhao;Yanbing Ju;Luis Martínez;Peiwu Dong;Jingfeng Shan
三向决策(TWD)作为一种刻画人类认知过程的决策模型，为解决实际多属性决策问题提供了合理的语义解释。由于决策环境的复杂性，在多属性三向决策问题中往往存在不确定性。为了同时强调这些不确定性，针对三角模糊信息系统中具有相关属性的随机多属性决策问题，提出了一种新的综合了随机多属性决策、∊-几乎随机优势和随机多目标可接受性分析的随机多属性决策模型。首先，在∊-几乎随机优势度的基础上，提出了一个新的∊-几乎随机优势度来度量两个三角模糊数之间的定量关系。其次，提出了一种新的随机TWD模型，该模型可以根据信息系统得到条件概率和相对损失两种状态的集合。第三，利用关于双能力的Choquite积分来汇总三个行动的预期损失，以加强它们的可解释性。第四，针对三角模糊信息系统中属性相关的多属性TWD，提出了SMAA-TWD模型。最后，给出了该模型在医疗诊断中的应用，并进行了对比分析，验证了该模型的适用性和有效性。
As a decision model to depict the human cognitive process, three-way decision (TWD) offers a reasonable semantic interpretation for solving practical multi-attribute decision-making (MADM) problems. Due to the complexity of the decision-making environment, uncertainties usually exist in multi-attribute three-way decision making problems. To stress these uncertainties simultaneously, a novel stochastic multi-attribute TWD model that incorporates TWD,∊-almost stochastic dominance, and stochastic multiobjective acceptability analysis (SMAA) is proposed for dealing with stochastic MADM problems with interrelated attributes in triangular fuzzy information systems. First, based on the∊-almost stochastic dominance, a novel∊-almost stochastic dominance degree is proposed for measuring the quantitative relationship of two triangular fuzzy numbers. Second, a novel stochastic TWD model is presented, in which the set of two states, conditional probability, and relative loss, can be obtained according to an information system. Third, the Choquet integral with respect to bi-capacity is utilized to aggregate the expected losses of three actions to strengthen their interpretability. Fourth, a SMAA-TWD model is proposed for multi-attribute TWDs with interrelated attributes in triangular fuzzy information systems. Finally, an application to medical diagnosis is given, and a comparative analysis is performed to verify the applicability and effectiveness of the proposed model.
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影响因子：
8.1
作者：
Jiajia Wang;Xueling Ma;Zeshui Xu;Jianming Zhan
通讯作者：
Jianming Zhan
DOI：
10.1016/j.ins.2022.06.018
发表时间：
2022-06
期刊：
Inf. Sci.
影响因子：
--
作者：
Yumei Wang;Peide Liu;Yiyu Yao
通讯作者：
Yumei Wang;Peide Liu;Yiyu Yao
DOI：
10.1287/mnsc.1120.1616
发表时间：
2013-05
期刊：
Manag. Sci.
影响因子：
--
作者：
Larry Y. Tzeng;Rachel J. Huang;Pai-Ta Shih
通讯作者：
Larry Y. Tzeng;Rachel J. Huang;Pai-Ta Shih
影响因子：
8.1
作者：
Liang, Decui;Wang, Mingwei;Xu, Zeshui
通讯作者：
Xu, Zeshui
影响因子：
3.9
作者：
DUBOIS, D;PRADE, H
通讯作者：
PRADE, H