Data envelopment analysis on a relaxed set of assumptions
Management Science
An introduction to fuzzy control (2nd ed.)
An introduction to fuzzy control (2nd ed.)
Centroid of a type-2 fuzzy set
Information Sciences: an International Journal
Theory and Practice of Uncertain Programming
Theory and Practice of Uncertain Programming
Expected value of fuzzy variable and fuzzy expected value models
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
A class of fuzzy portfolio optimization problems: E-S models
ICSI'10 Proceedings of the First international conference on Advances in Swarm Intelligence - Volume Part II
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Data envelopment analysis (DEA) is an effective method for measuring the relative efficiency of a set of homogeneous decision-making units (DMUs). However, the data in traditional DEA model are limited to crisp inputs and outputs, which cannot be precisely obtained in many production processes or social activities. This paper attempts to extend the traditional DEA model and establishes a DEA model with type-2 (T2) fuzzy inputs and outputs. To establish this model, we first propose a reduction method for T2 fuzzy variables based on the expected value of fuzzy variable. After that, we establish a DEA model with the obtained fuzzy variables. In some special cases such as the inputs and outputs are independent T2 triangular fuzzy variables, we provide a method to turn the original DEA model to its equivalent one. At last, we provide a numerical example to illustrate the efficiency of the proposed DEA model.