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- W2885959466 abstract "Abstract In this paper the Geometric Defuzzification strategy for type-2 fuzzy sets is reappraised. For both discretised and geometric fuzzy sets the techniques for type-1, interval type-2, and generalised type-2 defuzzification are presented in turn. In the type-2 case the accuracy of Geometric Defuzzification is assessed through a series of test runs on interval type-2 fuzzy sets, using Exhaustive Defuzzification as the benchmark method. These experiments demonstrate the Geometric Defuzzifier to be wildly inaccurate. The test sets take many shapes; they are not confined to those type-2 sets with rotational symmetry that have previously been acknowledged by the technique’s developers to be problematic as regards accuracy. Type-2 Geometric Defuzzification is then examined theoretically. The defuzzification strategy is demonstrated to be built upon a fallacious application of the concept of centroid. This explains the markedly inaccurate experimental results. Thus the accuracy issues of type-2 Geometric Defuzzification are revealed to be inevitable, fundamental and significant." @default.
- W2885959466 created "2018-08-22" @default.
- W2885959466 creator A5076996004 @default.
- W2885959466 date "2018-10-01" @default.
- W2885959466 modified "2023-10-18" @default.
- W2885959466 title "Geometric Defuzzification revisited" @default.
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- W2885959466 doi "https://doi.org/10.1016/j.ins.2018.07.019" @default.
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