Type-2 fuzzy sets, an elaboration over type-1 fuzzy sets, are an interesting method for handling uncertainty in rules and parameters in fuzzy systems. However, their adoption has not been as wide as one could have expected. In this paper we provide a simple introduction to type-2 fuzzy sets; then we propose a novel method for calculating operations on type-2 fuzzy sets with normal type-1 membership values, for which we redefine set ordering. Finally, based on the max ordering of fuzzy set and highest degree of separation, we propose an approximation for performing the operations, which ensures that the calculation is accurate for the most important parts of the membership values.

Approximated Type-2 fuzzy set operations / Hooman Tahayori, Andrea G. B. Tettamanzi, Giovanni Degli Antoni - In: IEEE International Conference on Fuzzy Systems, 2006 : July 16 - 21, 2006, [Vancouver, BC, Canada]Piscataway : IEEE operations center, 2006. - ISBN 0780394887. - pp. 1910-1917 (( convegno IEEE International Conference on Fuzzy Systems tenutosi a Vancouver nel 2006.

Approximated Type-2 fuzzy set operations

Hooman Tahayori;Andrea G. B. Tettamanzi;Giovanni Degli Antoni
2006

Abstract

Type-2 fuzzy sets, an elaboration over type-1 fuzzy sets, are an interesting method for handling uncertainty in rules and parameters in fuzzy systems. However, their adoption has not been as wide as one could have expected. In this paper we provide a simple introduction to type-2 fuzzy sets; then we propose a novel method for calculating operations on type-2 fuzzy sets with normal type-1 membership values, for which we redefine set ordering. Finally, based on the max ordering of fuzzy set and highest degree of separation, we propose an approximation for performing the operations, which ensures that the calculation is accurate for the most important parts of the membership values.
Settore INF/01 - Informatica
2006
IEEE
Book Part (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/24427
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