模糊n-cell数值函数的半连续性及凸性问题的研究

Study on the Semicontinuity and Convexity Problems of Fuzzy n-cell Number Valued Functions

利用模糊n-cell数空间上的基于模糊数的偏序关系,给出了模糊n-cell数值函数的半连续性概念,并证明了一些相关的结论。同时讨论了模糊n-cell数值函数的凸性问题,并给出了模糊n-cell数值函数在半连续条件下成为凸的充分条件。

Using the partial order relation based on fuzzy numbers in fuzzy n-cell number space,the concept of semicontinuity of fuzzy n-cell number valued functions is given,and some related conclusions are proved.At the same time,the convexity of fuzzy n-cell number valued functions is discussed,and sufficient conditions for the convexity of fuzzy n-cell number valued functions under semicontinuous conditions are given.