本文在一维情形下对拟可微函数的星核进行了讨论，证明了拟微分星-有界等价子类的存在性；
In this paper, the star-kernel of a quasi-differentiable function in one-dimensional space is studied.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
基于模糊数空间的一种新的序关系，给出了可微的凸模糊数值函数、拟凸模糊数值函数的刻划定理，并讨论了它们的关系。
Based on a new concept of ordering, the characterizations of differential convex fuzzy-valued function, quasi-convex fuzzy-valued function are given and their relation is discussed.
基于模糊数空间的一种新的序关系，给出了可微的凸模糊数值函数、拟凸模糊数值函数的刻划定理，并讨论了它们的关系。
Based on a new concept of ordering, the characterizations of differential convex fuzzy-valued function, quasi-convex fuzzy-valued function are given and their relation is discussed.
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