Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems

By Hongwei Wu, Jerry M. Mendel. IEEE transactions on fuzzy systems, 2002

520 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/970ce362e7879093f619c11f08c6a133a0821be8

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In Artificial Intelligence

Citations in the corpus

Enhanced Karnik--Mendel Algorithms (2009, methodology): “4Some fast algorithms [15], [ 16 ] have been proposed to approximate the KM algorithms.”
Toward General Type-2 Fuzzy Logic Systems Based on zSlices (2010, methodology): “For each zLevel zi , this type-reduced interval is bounded by the left endpoint (yli ) and the right endpoint (yri ), which could be computed using the iterative KM iterative procedure [3] or approximated using the Wu–Mendel uncertainty-bounds method [22], as shown in Theorem 2.”
Type-2 FLCs: A New Generation of Fuzzy Controllers (2007, methodology): “As mentioned in the first overview article of this issue and as shown in Figure 1, in the interval type-2 FLCs used so far, there are two ways to perform type-reduction: using the iterative Karnik-Mendel (KM) procedure to calculate the type-reduced fuzzy sets [25] or using the WuMendel uncertainty b”
A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots (2004, methodology): “This iterative procedure is proven [14], [ 25 ] to converge in no more than iterations to find and iterations to find where is the number of rules.”
On the Fundamental Differences Between Interval Type-2 and Type-1 Fuzzy Logic Controllers (2012, background): “1) Uncertainty Bound Method: The UB type educer, which was proposed by Wu and Mendel [63], computes the output of the IT2 FLC by (5), but”
Fuzzy human motion analysis: A review (2014, background): “Wu and Mendel [179,180] explained on how to design an interval type-2 FIS using the uncertainty bounds and introduced the measurement of uncertainty for interval type-2 fuzzy sets using the information such as centroid, cardinality, fuzziness, variance and skewness.”
Advances in type-2 fuzzy sets and systems (2007, methodology): “An interesting alternative to inventing new kinds of TR has been provided by Wu and Mendel [95].”