摘要
本文试图从模糊集合的定义、表示法、分解定理三方面,论述模糊数学是建立在清晰集合论基础上的新的数学结构,这对认识模糊数学的基础与本质有着重要意义。
From the definition,expressing method and the decompose theorem of fuzzy set,this paper discusses that fuzzy mathematics is a new mathematical construction based on distinct theory.It is sinificance for undertanding the foundation and essence of indistinct mathematics.
关键词
模糊集
清晰集合
同构映射
fuzzy set
distinct set
isomorphic mapping
decompose theorem
mathematical construction