This paper presents the geometric defuzzifier for generalised type-2 fuzzy sets. This defuzzifier can be executed in real-time and can therefore be applied to control and other rea...
Generalised type-2 fuzzy logic systems can not currently be used for practical problems because the amount of computation required to defuzzify a generalised type-2 fuzzy set is to...
— Geometric Type-2 Fuzzy sets allow us to model type-2 fuzzy sets using geometry providing significant improvement in speed of computation. This paper explores in detail how wel...
This paper presents new techniques for performing logical operations on type-2 fuzzy sets. These techniques make significant use of geometric methods to give, for the first time, ...
H¨ohle has identified fuzzy sets, valued in a frame (complete Heyting algebra) Ω, with certain sheaves over Ω: the subsheaves of constant sheaves More general sheaves can be...