On union and intersection of type-2 fuzzy sets not expressible by the sup-t-norm extension principle
Abstract
This paper constructs a conjunction and a disjunction operator for type-2 fuzzy sets that cannot be expressed by the sup-t-norm extension principle applied to conjunction and disjunction of type-1 fuzzy sets by means of t-norms and t-conorms on the unit interval. This result answers affirmatively an open problem posed by Hernández et al. in 2015. The duality between the set-theoretic operators for type-2 fuzzy sets is obtained from the duality...
Paper Details
Title
On union and intersection of type-2 fuzzy sets not expressible by the sup-t-norm extension principle
Published Date
Aug 1, 2022
Journal
Volume
441
Pages
241 - 261
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History