Title of article :
Generalized Fuzzy Inverse Data envelopment Analysis Models
Author/Authors :
Ashrafi, A. Department of Mathematics, Statistics and Computer Science - Semnan University, Semnan, Iran , Mansouri, M. Department of Mathematics, Statistics and Computer Science - Semnan University, Semnan, Iran
Abstract :
Models in conventional Data Envelopment Analysis (DEA) applies accurate data to estimate effciency
scores, whereas cases are frequently arisen in empirical studies with imprecise data. Inverse DEA
models can be used to estimate inputs for a decision making unit (DMU) when some or all outputs
and effciency level of this DMU are increased or preserved. This paper studies the inverse DEA for
fuzzy data. Fuzzy data envelopment analysis (FDEA) models emerge as another class of DEA models
to account for imprecise inputs and outputs for decision making units. Although several approaches for
solving fuzzy DEA models have been developed, numerous deciencies including the a-cut approaches
and types of fuzzy numbers must still be improved. This paper proposes generalized inverse DEA
in fuzzy data envelopment analysis. The practical application of these models is illustrated by a
numerical example.
Keywords :
Data Envelopment Analysis , Inverse Optimization , Efficiency , Fuzzy DEA , Multi-objective programming
Journal title :
Astroparticle Physics