摘要
分解定理是模糊数学中模糊集三大基本定理(分解定理、表现定理和扩展原理)之一,也是模糊数学教学的一个难点.讨论了截集与分解定理的辨证关系并给出了直观解释.
Decomposition theorem is one of the three basic theorems(decomposition theorem,representation theorem,extension principle)of the fuzzy sets in fuzzy mathematics,and it is also a difficult point in the teaching of fuzzy mathematics.This paper discusses the dialectical relations between fuzzy sets and general sets at the angle of decomposition theorem,and gives a direct explanation to it.
出处
《沈阳师范大学学报（自然科学版）》
CAS
2004年第4期319-320,共2页
Journal of Shenyang Normal University:Natural Science Edition
关键词
模糊数学
截集
分解定理
模糊集
fuzzy mathematics
λ-cuts
decomposition theorem
fuzzy sets
