二元截集下Vague集的表现定理及扩展原理

摘要

在Fuzzy集和Vague集理论的基础上,根据二元截集下集合套的概念和Vague集的分解定理,得出新的Vague集的表现定理、扩展原理,并且讨论了相关的代数性质,清楚地表现了经典集与Vague集之间的联系.%Based on the theories of fuzzy sets and Vague sets, the concept of nested set is introduced based on binary cut sets and the decomposition theorems of Vague sets. The new representation theorems and extension principles of Vague sets are given and the relevant algebraic properties are discussed, which show the connection between classical sets and Vague sets.