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中文摘要：
回顾了由二元关系产生的粗糙近似空间及其导出的各种粗糙近似算子的构造性定义,介绍了经典和模糊环境下各种信任结构及其导出的信任函数与似然函数的概念,给出了粗糙集理论中近似空间及其导出的下近似算子与上近似算子和证据理论中的信任结构及其导出信任函数与似然函数之间的相互关系及其应用背景。
英文摘要：
In rough set theory there exists a pair of approximation operators,the upper and lower approximations,whereas in DempsterShafer theory of evidence there exists a dual pair of uncertainty measures,the plausibility and belief functions.In the present paper,generalizations of the Pawlak approximation space and their induced approximation operators,the upper and lower approximations,are first reviewed.Various generalizations of the Dempster-Shafer belief structure and their induced uncertainty measures,the plausibility and belief functions,are then summarized.The relationships between the rough set theory and the Dempster-Shafer theory of evidence with their potential applications are presented.
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