反模糊域与反模糊线性空间

Anti-Fuzzy Fields and Anti-Fuzzy Linear Spaces

以模糊代数里的模糊线性空间理论为基础,首先在L是完备格时,建立了反模糊群、反模糊环的定义,然后从模糊集的隶属度角度进行研究,得到反模糊域及反模糊线性空间的概念,并讨论了集合成为反模糊域与反模糊线性空间的几个充分必要条件.最后以模糊集合理论为基本工具给出反模糊域与反模糊线性空间的若干刻画和进一步的讨论.

This paper is based on the theorems of the fuzzy linear spaces in the fuzzy algebra. The concept of anti-fuzzy groups and anti-fuzzy fields are given when L is a complete Lerbegue space, then we can get the definitions of anti-fuzzy fields and Anti-fuzzy linear spaces, and the necessity and sufficient condition of anti-fuzzy linear spaces are studied. Descriptions and discussions of anti-fuzzy linear spaces are given based on the fundamental theorems of fuzzy sets.