Abstract
A deterministic model of slope stability has been evaluated with fuzzy input parameters by the methodof vertices, dividing the fuzzy numbers into groups of intervals (cuts or α levels). Later on, in the model, the fuzzynumbers have been replaced by the intervals, reducing it to a number of analyses of intervals using only conventionalmathematics. The stability of the slope is measured by comparing the fuzzy set, representing the state of stability, withfour predefined stability states, using a technique of grouping. The result of this process indicates that under staticconditions, the slope of the community of Mansiones is certainly stable and under pseudo-static conditions (horizontalacceleration of 20% g), the slope could have an imminent failure.