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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.12708 |
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Table of Contents:
- We demonstrate that the idempotent barycenter map, associated with a t-norm $\ast$, is open if and only if the map of max-$\ast$ convex combination is open. As a corollary, we deduce that the idempotent barycenter map is open for spaces of idempotent measures associated with any t-norm $\ast$. Nevertheless, we illustrate that the characteristics of the idempotent barycenter map, in general, depend on the specific t-norm being employed.