A New Approach for Solving Personalized Routing Problems with Fuzzy Constraints

The Personalized Route Problem with fuzzy constraints deals with the problem of finding a set of routes according to the users's preferences. The solutions are obtained solving a set of problems associated with different alpha-cuts. However, under different alpha values unique solutions are not guaranteed, being possible to obtain a set of duplicated solutions, which is not desirable. Here we propose a method to reduce the number of equal solutions focusing on solving specific alpha-cuts, thus avoiding other ones that will obtain a duplicated solution. Two examples are shown to illustrate the proposal.