在已有文献的基础上,讨论了模糊映射的凸性和严格凸性之间的关系,得到了凸模糊映射为严格凸模糊映射的充分条件.在下半连续条件下,又给出了凸模糊映射和严格凸模糊映射的若干个充分条件.
Based on refrence, the relationship between convexity and strict convexity of fuzzy mapping is discussed and the result that convex fuzzy mapping is the sufficient condition for strictly convex fuzzy mapping is obtained. Also several sufficient conditions for convexity and strict convexity of fuzzy mapping under the condition of lower semicontinuity are inferred.