计算机工程与应用2016，Vol.52Issue(14)：78-83,6.DOI:10.3778/j.issn.1002-8331.1409-0237
覆盖多粒度梯形模糊数决策理论粗糙集模型
Covering multigranulation trapezoidal fuzzy decision-theoretic rough set model
摘要
Abstract
As an extension of the classical Pawlak rough set theory based on the equivalence relation on the universe, in view of the risk decision classification problem, multigranulation decision-theoretic rough sets have been researched by scholars. The main idea aims to select a series of actions, determine probability value of the thresholds of the object classi-fication area, obtain the best decisions of which the overall expected loss function(also called decision-making risk)is as small as possible. However, taking account to the difficulty of getting the equivalence relation in an incomplete infor-mation system, the uncertainty of the risk or cost of actions in different states, and the lacking of multigranulation decision-theoretic rough sets, covering multigranulation trapezoidal fuzzy decision-theoretic rough set models are proposed in this paper. In addition, the average, optimistic and pessimistic covering multigranulation trapezoidal fuzzy decision-theoretic rough set models are investigated respectively. Finally, the relationships between covering multigranulation trapezoidal fuzzy decision-theoretic rough sets and the existing models are discussed. The results obtained and examples illustrate the generality of the models.关键词
决策理论粗糙集/多粒度粗糙集/梯形模糊数/覆盖Key words
decision-theoretic rough sets/multigranulation rough sets/trapezoidal fuzzy/covering分类
数理科学引用本文复制引用
巩增泰,柴润丽..覆盖多粒度梯形模糊数决策理论粗糙集模型[J].计算机工程与应用,2016,52(14):78-83,6.基金项目
国家自然科学基金（No.61262022，No.11461062）；甘肃省自然科学基金（No.1208RJZA251）。 （）
