论文标题
riemannian歧管上间隔值函数的普遍的Hukuhara定向性不同
Generalized Hukuhara directional differentiability of interval-valued functions on Riemannian manifolds
论文作者
论文摘要
在本文中，我们表明，在Riemannian歧管上定义的间隔值函数（IVF）的普遍的Hukuhara定向可不同性不等于其中心和半宽函数的定向可不同性，因此不等于其终点功能。这与S.-L。形成鲜明对比。 Chen's \ cite {chen}断言，该断言表示等效性在IVF的端点函数方面存在，该功能是在Hadamard歧管上定义的。此外，本文还解决了在其域中单个点的函数的凸面时会出现的其他一些不准确性。鉴于这些论点，本文提出了一些与IVF的凸性和方向性可不同性相关的基本结果。
In this paper, we show that generalized Hukuhara directional differentiability of an interval-valued function (IVF) defined on Riemannian manifolds is not equivalent to the directional differentiability of its center and half-width functions and hence not to its end point functions. This contrasts with S.-L. Chen's \cite{chen} assertion which says the equivalence holds in terms of endpoint functions of an IVF which is defined on a Hadamard manifold. Additionally, the paper addresses some other inaccuracies which arise when assuming the convexity of a function at a single point in its domain. In light of these arguments, the paper presents some basic results that relate to both the convexity and directional differentiability of an IVF.
