A Three-Way Decision Model Based on Intuitionistic Fuzzy Decision Systems
A Three-Way Decision Model Based on Intuitionistic Fuzzy Decision Systems
复制标题
DOI：
10.1007/978-3-319-60840-2_18
复制
发表时间：
2017-07
期刊：
影响因子：
--
通讯作者：
Jiubing Liu;Xianzhong Zhou;Bing Huang;Huaxiong Li
中科院分区：
文献类型：
--
作者：
Jiubing Liu;Xianzhong Zhou;Bing Huang;Huaxiong Li
定义了直觉模糊对象之间的相似度和发散度，并给出了相关性质。在此基础上，定义了决策客观环境下基于直觉模糊相似关系的水平割集。利用定义的粗糙隶属函数，得到目标集的上、下近似集。讨论了直觉模糊数的上近似和下近似的性质，提出了直觉模糊数的一种排序方法。根据贝叶斯决策理论，建立了直觉模糊三路决策理论模型，并给出了基于直觉模糊决策系统的规则归纳算法。最后通过数值算例说明了该方法的有效性。
The similarity degree and divergence degree between intuitionistic fuzzy objects are defined respectively, and the related properties are presented in this paper. Then, we define the-level cut-sets based on intuitionistic fuzzy similarity relation under decision objective circumstances. Moreover, the upper and lower approximation sets of objective sets are derived by utilizing the defined rough membership function. Some properties of the derived upper and lower approximations are discussed, and a ranking method for intuitionistic fuzzy numbers is proposed. According to Bayesian decisions, an intuitionistic fuzzy three-way decision-theoretic model and a rule induction algorithm based on intuitionistic fuzzy decision systems are constructed. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.