Equalizer in the Kleisli category of the $n$-fuzzy powerset monad
Year: 2024
Type: article
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.
Authors: Seyed Naser Hosseini, Yousef Qasemi Nezhad
Institution: Shahid Bahonar University of Kerman
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6926309221
FWCI:
Cites:
Cited by:
Related to: