Intuitionistic Fuzzy Three-Way Decision Model Based on the Three-Way Granular Computing Method
Intuitionistic Fuzzy Three-Way Decision Model Based on the Three-Way Granular Computing Method
复制标题
基于三支粒计算方法的直观模糊三支决策模型
DOI：
10.3390/sym12071068
复制
发表时间：
2020-06
期刊：
影响因子：
--
通讯作者：
Weiming Peng
中科院分区：
文献类型：
--
作者：
Xianwei Xin;Jihua Song;Weiming Peng
三向决策作为不确定信息处理和决策的一般模型，主要利用决策成本矩阵产生的阈值来确定对象的决策类别。然而，门槛的确定通常伴随着不同程度的主观性。此外，决策成本利弊之间的潜在对称关系也是一个值得关注的问题。在这项研究中，我们提出了一种新的基于三向粒计算方法的直觉模糊三向决策模型。首先，我们给出了成员状态和非成员状态可能性的计算方法，并证明了相关性质。此外，通过结合状态概率分布和概率分布，研究了对象信息粒，即细粒度对象、中粒度对象和粗粒度对象。然后，针对决策和评价问题，定义了IFTWD模型构建的优势相容关系和劣势相容关系。此外，我们还用优劣度代替了原有的阈值，设计了一种新的决策成本评估方法。最后，重点对模型的算法进行了研究，并以湖北省农业生态投资为例进行了实证研究，验证了模型的有效性。
Three-way decisions, as a general model for uncertain information processing and decisions, mainly utilize the threshold generated by the decision cost matrix to determine the decision category of the object. However, the determination of the threshold is usually accompanied by varying degrees of subjectivity. In addition, the potential symmetrical relationship between the advantages and disadvantages of the decision cost is also a problem worthy of attention. In this study, we propose a novel intuitionistic fuzzy three-way decision (IFTWD) model based on a three-way granular computing method. First, we present the calculation methods for the possibility of membership state and non-membership state, as well as prove the related properties. Furthermore, we investigate the object information granules, i.e., the fine-grained, medium-grained, and coarse-grained objects, by combining the state probability distribution and probability distribution. Then, for decision and evaluation issues, we define the superiority-compatibility relation and inferiority-compatibility relation for IFTWD model construction. In addition, we use the superiority degree and inferiority degree instead of the original thresholds and design a new method for evaluating decision cost. Finally, we focus on the algorithm research of the proposed model and present an empirical study of agricultural ecological investment in Hubei Province to demonstrate the effectiveness of our model.
登录
查看更多内容
DOI：
10.1016/j.knosys.2018.01.032
发表时间：
2018-04
期刊：
Knowl. Based Syst.
影响因子：
--
作者：
V. Loia;F. Orciuoli;W. Pedrycz
通讯作者：
V. Loia;F. Orciuoli;W. Pedrycz
区间值时间序列的语言建模：粒计算的视角
影响因子：
8.1
作者：
Wei Lu;Wei Zhou;Dan Shan;Liyong Zhang;Jianhua Yang;Xiaodong Liu
通讯作者：
Xiaodong Liu
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
用于分类的三向混淆矩阵：测量驱动视图
影响因子：
8.1
作者：
Jianfeng Xu;Yuanjian Zhang;Miaoqian Duo
通讯作者：
Miaoqian Duo
DOI：
10.1007/978-3-319-60840-2_18
发表时间：
2017-07
期刊：
--
影响因子：
--
作者：
Jiubing Liu;Xianzhong Zhou;Bing Huang;Huaxiong Li
通讯作者：
Jiubing Liu;Xianzhong Zhou;Bing Huang;Huaxiong Li