K. Triantis et P. Vanden Eeckaut, Fuzzy pair-wise dominance and implications for technical efficiency performance assessment, J PROD ANAL, 13(3), 2000, pp. 207-230
Classically, the concept of efficiency measurement is based on the definiti
on of a frontier that envelops the observed production plans. The efficienc
y score itself is based on the distance of an observed production plan from
this frontier. The frontier along with the required technological assumpti
ons (such as convexity) needed for its definition may be replaced with the
concept of pair-wise dominance. This concept leads to a classification sche
me for all production plans instead of a ranking based on efficiency scores
. Also, the traditional assumption of deterministic or crisp production pla
ns may be substituted with the weaker assumption of fuzzy production plans
as proposed by fuzzy set theory. This paper merges these two concepts and d
efines a new classification scheme based on fuzzy dominance.