Abstract:

With the help of lefthand end point and righthand end point of fuzzy number, an equivalent characterization of locally Lipschitz fuzzy function was given, and with the aid of Hausdorff separation and Hausdorff distance between two sets, some properties of locally Lipschitz fuzzy function were discussed. With the introduction of generalized directional derivative of the locally Lipschitz function, the method for calculating generalized directional derivative was demonstrated with an example.

Key words: fuzzy function, locally Lipschitz function, generalized directional derivative