广义梯形模糊数决策粗糙集  

Generalized Trapezoidal Decision-theoretic Rough Sets

作　　者：钟映竑[1] 张培新[1] 

机构地区：[1]广东工业大学管理学院,广东广州510520

出　　处：《数学的实践与认识》2015年第6期82-88,共7页Mathematics in Practice and Theory

基　　金：教育部人文社会科学规划项目(12YJA630199);广东省哲学社会科学学科共建项目(GD10XGL02)

摘　　要：考虑到在决策过程中损失函数的不确定性且广义梯形模糊数作为三角模糊数的一种拓展,从贝叶斯理论出发,在三角模糊数决策粗糙集的基础上,将广义梯形模糊数引入三枝决策粗糙集,建立了广义梯形模糊数决策粗糙集并推导了其性质和规则;然后,通过一个协同知识管理项目的例子来阐明模型的具体应用.优势在于不仅将离散模糊集合扩展到连续集合,而且与其它模糊集合相比较具有更好的泛化性.Considering the uncertainty of loss function during the decision process,we introduce generalized trapezoidal fuzzy numbers to decision-theoretic rough sets in light of Bayesian decision procedure and more specifically,establish generalized trapezoidal decisiontheoretic rough sets（GTDTRS） based on triangular fuzzy decision-theoretic rough sets and derive its properties and decision rules.Next,an example about Collaborative knowledge management project is presented to elaborate on the performance of the GTDTRS model.The advantage of this method is that not only will be extended to the continuous discrete set of fuzzy sets and fuzzy sets in comparison with other better generalization.

关 键 词：广义梯形模糊数 贝叶斯理论 三枝决策粗糙集 连续集合 

分 类 号：O159[理学—数学] TP18[理学—基础数学]