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equalizer in the kleisli category of the $n$-fuzzy powerset monad
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نویسنده
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hosseini naser ,qasemi nezhad yousef
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منبع
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journal of mahani mathematical research - 2024 - دوره : 13 - شماره : 4 - صفحه:83 -99
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چکیده
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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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کلیدواژه
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(completely distributive) lattice ,(simple ,subsimple ,quasisimple) fuzzy set ,fuzzy powerset functor
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آدرس
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shahid bahonar university of kerman, department of pure mathematics, iran, shahid bahonar university of kerman, department of pure mathematics, iran
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پست الکترونیکی
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yqasemi@gmail.com
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Authors
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