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

Author(s):

Seyed Naser Hosseini , Yousef Qasemi Nezhad

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Keywords:

(Completely Distributive) Lattice , (Simple , Subsimple , Quasisimple) Fuzzy Set , Fuzzy Powerset Functor

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:13 Issue: 2, Summer and Autumn 2024
Pages:
83 to 99
https://www.magiran.com/p2797834