Assessment of an event from individual opinions of a group of experts

Starting from the opinions X^*i,j (i=1,...,n; j=1,...,m) of m experts about the influences of n facts or situations on an actual event E^* this is assessed comparing it with a reference event Er due to the same n facts or situations X^ri,j (i=1,...,n; j=1,...,m) qualified by the same experts. X^*i,j and X^ri,j are fuzzy numbers taken from a preestablished list. The opinions of the group of m experts X^*i and X^ri (i=1,...,n) are obtained using the ‘convex-sum’ of fuzzy sets. Then, E^* (xi,...,xn) and Er (xi,...,xn) are expressed as n-dimensional fuzzy numbers obtained by cartesian products of the Xi (i=1,...,n). The assessment is made with the acceptability of considering E^* as Er which is calculated with: a(E^*; Er) = |E^*∩Er| / |E^*|.