融合云概念的粗糙Vague集的三支决策模型  

Three-way decisions model incorporating cloud concept for rough Vague set

作　　者：杨洁[1,2] 王志俊 刘群 李帅[1] 徐泰华[3] YANG Jie;WANG Zhijun;LIU Qun;LI Shuai;XU Taihua(Chongqing Key Laboratory of Computational Intelligence,Chongqing Lniversity of Post and Telecommunications,Chongqing 400065,P.R.China;School of Physics and Electronic Science,Zunyi Normal Lniversity,Zunyi 563002,P.R.China;School of Computer,Jiangsu Lniversity of Science and Technology,Zhenjiang 212003,P.R.China)

机构地区：[1]重庆邮电大学计算智能重庆市重点实验室,重庆400065 [2]遵义师范学院物理与电子科学学院,贵州遵义563002 [3]江苏科技大学计算机学院,江苏镇江212003

出　　处：《重庆邮电大学学报（自然科学版）》2023年第1期60-69,共10页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：国家自然科学基金(62066049,62006099);贵州省优秀青年科技人才项目(黔科合平台人才2021[5627]号);贵州省科技计划项目(黔科合基础-ZK[2021一般332]);重庆市自然科学基金(cstc2021ycjh-bgzxm0013);贵州省普通高等学校电子制造产学研基地开放基金(黔教合KY字[2014]230-2号);遵义师范学院博士启动基金(遵师BS[2019]04号);重庆市教委重点合作项目(HZ2021008)。

摘　　要：Vague集是模糊集的扩展模型,从正反两方面来描述事物的不确定性,粗糙Vague集比粗糙模糊集更具有普遍性。目前,三支决策的阈值主要是由单个专家给出,不能反映认知过程中复杂的不确定性形式。针对这一问题,提出了一种融合云概念的粗糙Vague集的三支决策模型。使用基于密度中心的云概念群决策方法求解损失函数,不仅保证综合评价的精度,还为损失函数提供了新的语义解释。构建了粗糙Vague集的三支决策模型并揭示了其误分类代价随着粒度细化而单调递减的规律。通过实验验证了该方法的可行性,克服了现有模糊集在三支决策中对事物不确定性表达不够清楚的缺点。Vague set is an extended model of fuzzy set.It describes the uncertainty from both positive and negative aspects.Rough vague set is more general than rough fuzzy set.At present,thresholds for three-way decisions(3WD)are mainly given through a single expert,which fails to reflect the complex forms of uncertainty in cognitive process.To address this problem,this paper proposes a 3WD model for rough vague set merging cloud concept.First,the cloud concept group decision method based on density center is used to solve the loss function,which not only ensures the accuracy of comprehensive evaluation,but also provides a new semantic interpretation for the loss function.Second,the 3WD model for rough vague set is constructed and its misclassification cost decreases monotonically with granularity refinement.Finally,the feasibility of the method is experimentally verified to overcome the drawback that the existing fuzzy sets are mot clear enough to express the uncertainty of things in 3WD model.

关 键 词：VAGUE集 模糊集 模糊熵 云综合 三支决策 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]