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arXiv · 2202.06217

The double contravariant powerset monad in the Goguen category of fuzzy sets

Sijia Lu·Dexue Zhang
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Abstract

A monad is constructed in the Goguen category of fuzzy sets valued in a unital quantale, which is an analog of the double contravariant powerset monad in the category of sets. With help of this monad it is proved that the Goguen category of fuzzy sets is dually monadic over itself.

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Sijia Lu, Dexue Zhang. 2022-02-13. The double contravariant powerset monad in the Goguen category of fuzzy sets. https://arxiv.org/abs/2202.06217

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