In this paper, we study some interesting properties of nonconvex oriented distance function. In particular, we present complete characterizations of monotonicity properties of oriented distance function. Moreover, the Clark subdifferentials of nonconvex oriented distance function are explored in the solid case. As applications, fuzzy necessary optimality conditions for approximate solutions to vector optimization problems are provided.

中文翻译：

---

非凸距离函数的某些性质及其在矢量优化问题中的应用

在本文中，我们研究了非凸面定向距离函数的一些有趣特性。特别是，我们介绍了定向距离函数的单调性的完整特征。此外，在固体情况下探索了非凸取向距离函数的Clark子微分。作为应用，提供了用于向量优化问题的近似解的模糊必要最优条件。