推广了在Rodriguez-lopez和Romaguera意义下的Hausdorff模糊距离,引入了模糊集之间的M∞-模糊距离,其中M∞-模糊距离被看作是相对于任何正实数的两个模糊集的邻近程度。同时也探讨了M∞-模糊距离的几个性质。
In this paper, we generalize the Hausdorff fuzzy metric in the sense of Rodriguez-Lopez and Romaguera, and introduce the M∞-fuzzy metric for fuzzy sets, where M∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number. Several properties of M∞-fuzzy metric are explored.