Ranking type-2 fuzzy numbers

@article{Mitchell2006RankingTF,
  title={Ranking type-2 fuzzy numbers},
  author={H. B. Mitchell},
  journal={IEEE Transactions on Fuzzy Systems},
  year={2006},
  volume={14},
  pages={287-294}
}
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… CONTINUE READING
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