The Properties Of The Locally Lipschitz Fuzzy Function And A Solution To Fuzzy Linear Programming

With the left-hand end point and right-hand end point of fuzzy number, an equivalent characterization of locally Lipschitz fuzzy function is given, by using Hausdorff separation and Hausdorff distance between two sets, some properties of locally Lipschitz fuzzy function are discussed. The generalized directional derivative of the locally Lipschitz function is introduced, and an example is given to demonstrate the method for calculating generalized directional derivative.Fuzzy linear programming with constraint coefficients of triangle fuzzy numbers is transformed into general linear programming by using another ranking fuzzy numbers. Compared with the existing methods,The method can be applied to the specific examples of triangle fuzzy programming, and the secondary transportation problem with fuzzy constraints.