Tutorial on the uses of the interval type-2 fuzzy set’s Wavy Slice Representation Theorem

@article{Mendel2008TutorialOT,
  title={Tutorial on the uses of the interval type-2 fuzzy set’s Wavy Slice Representation Theorem},
  author={Jerry M. Mendel},
  journal={NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society},
  year={2008},
  pages={1-6}
}
This tutorial paper demonstrates how the Wavy Slice Representation Theorem (RT) for a general type-2 fuzzy set (T2 FS), when specialized to an interval T2 FS (IT2 FS), can be used as the starting point to solve many diverse problems that involve IT2 FSs. The problems considered are: Set theoretic operations, centroid, uncertainty measures, similarity, inference engine computations for Mamdani IT2 fuzzy logic systems, and linguistic weighted average. Each solution obtained from the RT is a… CONTINUE READING

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