0545168 20240903170649.120210903235959.9 000659161800008 85108862284 10.14736/kyb-2021-2-0332 Some notes on the category of fuzzy implications on bounded lattices 20 s. P cav_un_epca*02971630023-5954Kybernetika572 (2021)332-351Ústav teorie informace a automatizace AV ČR, v. v. i. Fuzzy implication Skeleton of category T-norm cav_un_auth*0413276 Yousefi A. IR 30 cav_un_auth*0413277 Mashinchi M. IR 35 K cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics 35 Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2021/E/mesiar-0545168.pdf https://www.kybernetika.cz/content/2021/2/332 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. WOS BA 10000 10100 10101 2022 3 RVO:67985556 http://hdl.handle.net/11104/0321918 S 3+4 Article Computer Science Cybernetics A COMPUTERSCIENCE.CYBERNETICS 0.793 0.074 14.2 0.00064 0.225 1031 43 0.247 26.21 0.73 166 Q3 0.611 54 Q4 2.1 Q4 Q4 0.14 Q4 2.083 2021 85108862284 SCOPUS PUBMED 000659161800008 WOS cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 57 č. 2 2021 332 351 Ústav teorie informace a automatizace AV ČR, v. v. i.