An isomorphism of idempotent monads
arXiv:2307.12787
Abstract
We consider isomorphism between the idempotent measure monad based on the maximum and the addition operations and the idempotent measure monad based on the maximum and the multiplication operations. A one of the consequences of this result is the construction of a fuzzy integral based on the maximum and the addition operation. We also investigate convexities related to these monads.
arXiv admin note: text overlap with arXiv:2111.06612