Equalizer in the Kleisli category of the $n$-fuzzy powerset monad

Document Type : Special Issue Dedicated to Prof. Esfandiar Eslami

Authors

Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In this article, we first consider the $L$-fuzzy powerset monad on a completely distributive lattice $L$. Then for $L=[n]$, we investigate the fuzzy powerset monad on $[n]$ and we introduce simple, subsimple and quasisimple $L$-fuzzy sets. Finally, we provide necessary and sufficient conditions for the existence of an equalizer of a given pair of morphisms in the Kleisli category associated to this monad. Several illustrative examples are also provided.

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References

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Journal of Mahani Mathematical Research
Volume 13, Issue 4 - Serial Number 29
Special issue dedicated to Professor Esfandiar Eslami
December 2024
Pages 83-99

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History

  • Receive Date: 14 February 2024
  • Revise Date: 31 May 2024
  • Accept Date: 16 June 2024

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