Multi-granular Intuitionistic Fuzzy Three-Way Decision Model Based on the Risk Preference Outranking Relation
Multi-granular Intuitionistic Fuzzy Three-Way Decision Model Based on the Risk Preference Outranking Relation
复制标题
基于风险偏好优先关系的多粒度直觉模糊三支决策模型
DOI：
10.1007/s12559-021-09888-9
复制
发表时间：
2021-07
影响因子：
5.4
通讯作者：
Wei-ming Peng
中科院分区：
文献类型：
--
作者：
Xian-wei Xin;Ji-hua Song;Zhan'ao Xue;Jingbo Sun;Wei-ming Peng
作为决策理论粗糙集的重要扩展，三向决策理论为人们处理不确定性问题提供了新的视角。然而，传统的多粒度决策理论粗糙集模型在描述决策者的风险偏好和处理直观的模糊信息方面能力有限。此外，据我们所知，现有研究中的风险损失函数大多是基于效用理论的。然而，属性之间的完全可补偿性并不总是正确的，这一事实可能导致最终计算结果与实际情况不一致。提出了一种基于风险偏好优先关系的多粒度直觉模糊三向决策模型。在这种情况下，我们首先定义直觉模糊集上的优先关系，并将其融合以计算风险偏好。其次，从单粒度出发，分析了隶属度高于关系类、非隶属度高于关系类与粗糙近似之间的关系，并证明了相关性质。然后，对单粒度进行扩展，构造了多粒度直觉模糊决策理论粗糙集及其相应的三向决策模型。在此基础上，通过系统研究乐观和悲观状态下的决策损失成本，归纳出三向决策规则。通过案例分析和与现有方法的比较，验证了该模型的合理性和有效性。结果表明，该模型能够定量分析和计算决策者认知风险偏好的不确定性，实现对决策过程的全局控制，减少决策成本的损失。
As an important extension of decision-theoretic rough sets, three-way decision theory provides a new perspective for people to deal with uncertain problems. However, the traditional multi-granularity decision-theoretic rough sets model has limited ability in describing the risk preferences of decision-makers and the processing of intuitionistic fuzzy information. In addition, as far as we know, most of the risk loss functions in existing studies are based on utility theory. However, the complete compensability between attributes is not always true, and this fact may lead to inconsistencies between the final calculated results and the actual situation. We propose a multi-granular intuitionistic fuzzy three-way decision model based on the risk preference outranking relation. In this scenario, we first define the outranking relation on the intuitionistic fuzzy set and fuse it for the purpose of risk preference calculation. Next, starting from the single granularity, the relations between the membership outranking relation class, the nonmembership outranking relation class, and the rough approximation are analyzed, and the related properties are proven. Then, the single granularity is extended to construct the multi-granular intuitionistic fuzzy decision-theoretic rough sets and their corresponding three-way decision model. Furthermore, by systematically studying the decision loss costs of optimistic and pessimistic states, three-way decision rules are induced. The rationality and effectiveness of our proposed model are verified through a case study analysis and comparisons with existing methods. The results show that our proposed model can quantitatively analyze and calculate the uncertainty of decision-makers’ cognitive risk preferences, achieve global control of the decision-making process, and reduce the loss of decision-making costs.
登录
查看更多内容
影响因子：
5.3
作者：
通讯作者：
--
DOI：
10.1007/978-3-319-99368-3
发表时间：
2018-10
期刊：
--
影响因子：
--
作者：
R. Efendi;Voni Apriana Dewi;Rahmadeni;Sri Basriati;Dadang Syarif
通讯作者：
R. Efendi;Voni Apriana Dewi;Rahmadeni;Sri Basriati;Dadang Syarif
基于三支粒计算方法的直观模糊三支决策模型
DOI：
10.3390/sym12071068
发表时间：
2020-06
期刊：
Symmetry
影响因子：
--
作者：
Xianwei Xin;Jihua Song;Weiming Peng
通讯作者：
Weiming Peng
基于两个宇宙的多粒犹豫模糊决策理论粗糙集的三向群决策
影响因子：
2
作者：
Ma Weimin;Lei Wenjing;Sun Bingzhen
通讯作者：
Sun Bingzhen
DOI：
10.1016/j.engappai.2020.103651
发表时间：
2020-06
期刊：
Eng. Appl. Artif. Intell.
影响因子：
--
作者：
Zhaowen Li;Pengfei Zhang;Ningxin Xie;Gangqiang Zhang;Ching-Feng Wen
通讯作者：
Zhaowen Li;Pengfei Zhang;Ningxin Xie;Gangqiang Zhang;Ching-Feng Wen