METHODOLOGY OF LINGUISTICS EVALUATION IN RISK SITUATIONS USING FUZZY TECHNIQUES

In this article, the mathematical expression which determines the fuzzy weighted mean of a system, in terms of a determined or specific configuration of estimates, is studied. Its objective lies in obtaining fuzzy sets that are as close as possible to the natural expressions in systems which need an estimative calculation of risk (whether it be of failure, access or of any other type) with incomplete and/or unprecise data. To do this, the calculation (fuzzy weighted mean) of the fuzzy restriction associated with a system has been established as the proposed evaluation technique, increasing the number of natural expressions and thus the number of fuzzy processes that are involved in the said calculation. This increase has been achieved by analyzing all the possible results on the basis of the number of fuzzy sets in the numerator and denominator of the expression that denotes the fuzzy weighted mean of a system, taking into account to what point of the calculation such an increase is feasible without impairing the resulting fuzzy set. The importance of the resulting fuzzy set is the motivation behind effecting an enhancement process in this analytic phase, since it determines a linguistic meaning that is taken as an element of comparison and reference for the obtention of the final natural expression. The results of the proposed method have been verified by means of an interpreter, which has been designed to deal with all the fuzzy operations which intervene in the different processes.