Fuzzy subsethood for Type-n fuzzy sets

John T. Rickard, Janet Aisbett, Greg G. Gibbon, David G. Morgenthaler · 2008

Subsethood is the degree of containment of one fuzzy set in another, usually expressed as a value in the unit interval. We extend Kosko's definition of subsethood to Type-n fuzzy sets, for which subsethood is a Type-(n-l) fuzzy set on the unit interval. We then show how to compute subsethood for general Type-2 and interval Type-3 fuzzy sets.

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