In this paper, we introduce a new concept of fuzzy measure and fuzzy integration which has a dynamic position and is different from previous approaches. Our definition of a new type of fuzzy measure deals with distance functions (special L-fuzzy numbers) and is based on continuous triangular norms. By this concept, we construct a new version of measure theory and integration which is more flexible since the measure of the set both depends on the set itself and on the other parameter named by time. Our approach is related to the idea of fuzzy metric spaces. We study some fuzzy measures induced by classical measures. An integral based on the introduced measures is proposed and studied, too. To complete our paper, we prove some limits and convergence theorems.

在本文中，我们引入了一种新的模糊测度和模糊积分概念，它具有动态的位置，不同于以往的方法。我们对一种新型模糊度量的定义处理距离函数（特殊的L -模糊数）并且基于连续三角范数。通过这个概念，我们构建了一个新版本的测度理论和集成，它更加灵活，因为集合的测度既取决于集合本身，也取决于其他以时间命名的参数。我们的方法与模糊度量空间的概念有关。我们研究了一些由经典测度引起的模糊测度。并提出并研究了基于所介绍措施的积分。为了完成我们的论文，我们证明了一些极限和收敛定理。