集合套与扩展原理

NESTED SETS AND EXTENSION PRINCIPLES

映射ｆ：Ｘ→Ｙ有四种不同的形式扩展成为幂集之间的映射．本文利用集合套理论，将这四种映射扩展到模糊幂集之间的映射．分别得到极大、极小扩展原理．由于所用的集合套理论是以上、下截集为基础的。

Mapping f:X→Y can be extended to power sets in four different forms.Making use of theories of nested sets,we extend these mappings on fuzzy power sets and obtain maximal and minimal extension principles.Because theories of nested sets used in this paper are based on lower and upper cut sets,these extensions are conditional.