若干可微广义凸模糊映射的特性及相互关系

由Buckley—Feuring定义的模糊可微性的概念，利用模糊映射的左右手函数讨论在可微条件下，伪凸模糊映射、严格拟凸模糊映射、强拟凸模糊映射和严格伪凸模糊映射的特点，深入讨论了四者之间的相互关系，分析了四种映射互相转化的条件及如何削减某些凸性规划条件和简化模糊规划问题。

The Feature and Relationship among the Several Generalized Convex Fuzzy Mappings under Differentiability

We accept the concept of differentiability of a fuzzy mapping Buckley-Feuring put forward. The paper studies the feature of the generalized convex fuzzy mappings such as pseudo-convex fuzzy mapping, strict quasi-convex fuzzy mapping, strong quasi-convex fuzzy mapping and strict pseudo-convex fuzzy mapping under differentiability by its left and right-hand functions of its a-level sets. The relationship among them is further studied. The conditions under which the several mappings transform one another are also analyzed. The relationship and conditions can be used to weaken the conditions for some convex plannings and simplify the fuzzy programming problem.