Data envelopment analysis on a relaxed set of assumptions
Management Science
Centroid of a type-2 fuzzy set
Information Sciences: an International Journal
Theory and Practice of Uncertain Programming
Theory and Practice of Uncertain Programming
The appropriate total ranking method using DEA for multiple categorized purposes
Journal of Computational and Applied Mathematics - Special issue: Papers presented at the 1st Sino--Japan optimization meeting, 26-28 October 2000, Hong Kong, China
Measuring the performances of decision-making units using interval efficiencies
Journal of Computational and Applied Mathematics
Polynomial regression interval-valued fuzzy systems
Soft Computing - A Fusion of Foundations, Methodologies and Applications
An efficient centroid type-reduction strategy for general type-2 fuzzy logic system
Information Sciences: an International Journal
Evaluating the performances of decision-making units based on interval efficiencies
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Fuzzy data envelopment analysis (DEA): Model and ranking method
Journal of Computational and Applied Mathematics
A one-model approach based on relaxed combinations of inputs for evaluating input congestion in DEA
Journal of Computational and Applied Mathematics
Group performance evaluation, an application of data envelopment analysis
Journal of Computational and Applied Mathematics
Type-2 fuzzy variables and their arithmetic
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Concave type-2 fuzzy sets: properties and operations
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Interval type-2 fuzzy logic systems: theory and design
IEEE Transactions on Fuzzy Systems
Expected value of fuzzy variable and fuzzy expected value models
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Standby redundancy optimization with type-2 fuzzy lifetimes
ICSI'11 Proceedings of the Second international conference on Advances in swarm intelligence - Volume Part I
Mean-Entropy model for portfolio selection with type-2 fuzzy returns
ICIC'11 Proceedings of the 7th international conference on Intelligent Computing: bio-inspired computing and applications
Optimizing fuzzy portfolio selection problems by parametric quadratic programming
Fuzzy Optimization and Decision Making
Fixed charge transportation problem with type-2 fuzzy variables
Information Sciences: an International Journal
A fuzzy supply chain contract problem with pricing and warranty
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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A type-2 fuzzy variable is a map from a fuzzy possibility space to the real number space; it is an appropriate tool for describing type-2 fuzziness. This paper first presents three kinds of critical values (CVs) for a regular fuzzy variable (RFV), and proposes three novel methods of reduction for a type-2 fuzzy variable. Secondly, this paper applies the reduction methods to data envelopment analysis (DEA) models with type-2 fuzzy inputs and outputs, and develops a new class of generalized credibility DEA models. According to the properties of generalized credibility, when the inputs and outputs are mutually independent type-2 triangular fuzzy variables, we can turn the proposed fuzzy DEA model into its equivalent parametric programming problem, in which the parameters can be used to characterize the degree of uncertainty about type-2 fuzziness. For any given parameters, the parametric programming model becomes a linear programming one that can be solved using standard optimization solvers. Finally, one numerical example is provided to illustrate the modeling idea and the efficiency of the proposed DEA model.