模糊赋范空间的范数结构

NORM STRUCTURES OF A FUZZY NORMED SPACE

本文研究了模糊赋范空间中的范数结构问题.利用“切片”的方法,通过引入K函数,在更广泛意义下讨论了带连续t-模的模糊范数空间中存在的范数结构,给出了这些范数结构之间的关系.所得结果推广了现有的结论,并为模糊赋范空间的进一步研究提供了一种新的途径.

In this paper,the problem of norm structures in the fuzzy normed space is studied.By using the“cut”method and introducing K function,we discuss the norm structures existing in the fuzzy normed space with continuous t-norm in a broader sense,and give the relations between these norm structures.The obtained results generalize the existing conclusions and provide a new way for the further research of the fuzzy normed space.