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arXiv · 2307.12787

An isomorphism of idempotent monads

Taras Radul
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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.

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Taras Radul. 2023-07-24. An isomorphism of idempotent monads. https://arxiv.org/abs/2307.12787

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