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Journal Article

Some notes on the category of fuzzy implications on bounded lattices

Yousefi A., Mashinchi M., Mesiar Radko

: Kybernetika vol.57, 2 (2021), p. 332-351

: Fuzzy implication, Skeleton of category, T-norm

: 10.14736/kyb-2021-2-0332

: http://library.utia.cas.cz/separaty/2021/E/mesiar-0545168.pdf

: https://www.kybernetika.cz/content/2021/2/332

(eng): In this paper, we introduce the product, coproduct, equalizer and coequalizer notions on the category of fuzzy implications on a bounded lattice that results in the existence of the limit, pullback, colimit and pushout. Also isomorphism, monic and epic are introduced in this category. Then a subcategory of this category, called the skeleton, is studied. Where none of any two fuzzy implications are Φ-conjugate.

: BA

: 10101

07.01.2019 - 08:39