On the relevance of some families of fuzzy sets
Fuzzy Sets and Systems
Handling partial truth on type-2 similarity-based reasoning
Expert Systems with Applications: An International Journal
Information Sciences: an International Journal
Taximeter verification using imprecise data from GPS
Engineering Applications of Artificial Intelligence
Modeling Fuzzy DEA with Type-2 Fuzzy Variable Coefficients
ISNN 2009 Proceedings of the 6th International Symposium on Neural Networks: Advances in Neural Networks - Part II
Fuzzy decision-making based on likelihood-based comparison relations
IEEE Transactions on Fuzzy Systems - Special section on computing with words
Methods of critical value reduction for type-2 fuzzy variables and their applications
Journal of Computational and Applied Mathematics
Modeling fuzzy data envelopment analysis by parametric programming method
Expert Systems with Applications: An International Journal
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Type-2 fuzzy sets are a generalization of the ordinary fuzzy sets in which each type-2 fuzzy set is characterized by a fuzzy membership function. In this paper, we consider the problem of ranking a set of type-2 fuzzy numbers. We adopt a statistical viewpoint and interpret each type-2 fuzzy number as an ensemble of ordinary fuzzy numbers. This enables us to define a type-2 fuzzy rank and a type-2 rank uncertainty for each intuitionistic fuzzy number. We show the reasonableness of the results obtained by examining several test cases