A geometrical approach for fuzzy DEA frontiers using different T norms

  • Authors:

  • Luiz Biondi Neto;João Carlos Correia Baptista Soares De Mello;Lidia Angulo Meza;Eliane Gonçalves Gomes;Nissia Carvalho Rosa Bergiante

  • Affiliations:

  • Electronics and Telecommunications Department, State University of Rio de Janeiro, Rio de Janeiro, RJ, Brazil;Production Engineering Department, Fluminense Federal University, Niterói, RJ, Brazil;Materials Science Department, Fluminense Federal University, Volta Redonda, RJ, Brazil;Brazilian Agricultural Research Corporation, Embrapa, Brasília, DF, Brazil;Production Engineering Department, Fluminense Federal University, Niterói, RJ, Brazil

  • Venue:
  • WSEAS TRANSACTIONS on SYSTEMS
  • Year:
  • 2011

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Abstract

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 distribution 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.