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Type-2 fuzzy logic systems make use of type-2 fuzzy sets (T2FS). To be able to deliver useful type-2 fuzzy logic applications we need to be able to perform meaningful operations on these sets. These operations should also be practically tractable. However, T2FS suffer the shortcoming of being complex by definition. Indeed, the third dimension, which is the source of extra parameters, is in itself...
Interval type-2 defuzzification maps an interval type-2 fuzzy set to a crisp number. We show that the semantic meaning of the interval type-2 fuzzy set (the associated opportunity or risk) has to be considered in the choice of an appropriate interval type-2 defuzzification method. Motivated by a list of “axioms” for type-1 defuzzification we introduce twelve mathematical properties for interval type-2...
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