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-1) 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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Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS). Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS Proceedings (New York 19-22 May, 2008)