Different T-norms for Dea-fuzzy Efficiency Computations

Interval DEA frontiers are here used in situations where one input or output is subject to uncertainty in its measurement and is presented as an interval data. We built an efficient frontier without any assumption about the probability disttribution function of the imprecise variable. We take into account only the minimum and the maximum values of each imprecise variable. Two frontiers are constructed: the optimistic and the pessimistic ones. We use fuzzy relationships to introduce a new efficiency index based on a set of some Fuzzy T Norms. We will explore only the case where only one single variable presents a certain degree of uncertainty.