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Type2 defuzzification: Two contrasting approaches

Type2 defuzzification: Two contrasting approaches,10.1109/FUZZY.2010.5584007,Sarah Greenfield,Francisco Chiclana,Simon Coupland,Robert John

Type2 defuzzification: Two contrasting approaches   (Citations: 2)
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In this paper two contrasting approaches to the defuzzification of generalised type-2 fuzzy sets are investigated. The sampling method is a direct approach, whereas the α-planes method extends interval defuzzification to generalised type-2 sets, and therefore has to be used in conjunction with an interval technique such as the Karnik-Mendel Iterative Procedure. Experimental evaluations are made of the sampling and α-planes methods, with respect to both efficiency and accuracy, showing both strategies to be efficient and good approximations.
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    • ...As demonstrated by other researchers, the KMIP method and the sampling defuzzification method do not always compute identical solutions [24]...
    • ...The sampling defuzzification method for T2 FS was presented and analyzed in [17], [19], [24] and [27]...
    • ...According to the description in [24] the sampling defuzzification for IT2 FS can be described in several steps as follows:...
    • ...In [24] the results of defuzzification of -plane based general T2 FS using the KMIP algorithm, sampling defuzzification and exhaustive defuzzification have been reported...

    Ondrej Lindaet al. Centroid density of interval type-2 fuzzy sets: Comparing stochastic a...

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