给出了一类凸模糊集的表示定理。
We investigate the representation theorems of convex fuzzy sets.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
The concept of closed fuzzy set is introduced in topological linear space. It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
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