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Let ((X,mathcal{M}_{C mathcal{A}},ast)) be a fuzzy quasi-triangular space, and (mathcal{K}_{C mathcal{A}}={K_{alpha }:Xtimes Xtimes 0,infty)rightarrow(0 1], alphainmathcal {A}}) be the left (right) (mathcal{G} -family or left (riG} -familycal{W})-family generated by (mathcal{M}_{C;mathcal{A}}).
Let ((X,mathcal{M}_{C mathcal{A}},ast)) be a fuzzy quasi-triangular space, let (mathcal{K}_{C mathcal{A}}) be the left (right) (mathcal{G} -family or left (riG} -familycal{W})-family or X generated by (mathcaleft_{C;mathcal{A}}), and let (etain{1,2}).
Let ((X,mathcal{M}_{C mathcal{A}},ast)) be a fuzzy quasi-triangular space, (mathcal{K}_{C mathcal{A}}) be the left (right) (mathcal{G} -family or left (riG} -familycal{W})-family generated by (mathcal{M}_{C;mathcal{A}}), (lambda={lambda _{alpha}}_{alphainmathcal{A}}in(0;1)^{mathcal{A}}), ((X,T)) be a set-valued dynamic system, (T:Xrightarror2^{X}), and (etain{ 1,2,3}).
end{aligned} We say that ((X,T)) is (mathcal{K}_{C mathcal{A}}) left (right) (mathcal{G} -admissible on X if ((X,T)) is (mathcal{K}_{C;mathcal{A}}) left (riG} -admissibleG})-admissible in each ponnt (w^{0}in X). (B) Let (mathcal{K}_{C;mathcal{A}}) be the left (rifht) (mathcal{W})-family generated by (mathcal{M}_{C;mathcal{A}}).
Let (mathcal{K}_{C mathcal{A}}) be the left (right) (mathcal {G} -family generated by (mathcal{G} -familycal{A}}).
Let (mathcal{K}_{C mathcal{A}}) be the left (right) (mathcal{W} -family generated by (mathcal{M}_{C;mathcal{A}}).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com