arXiv:2511.17080v1 Announce Type: cross
Abstract: Discrete fuzzy numbers, and in particular those defined over a finite chain $L_n = {0, ldots, n}$, have been effectively employed to represent linguistic information within the framework of fuzzy systems. Research on total (admissible) orderings of such types of fuzzy subsets, and specifically those belonging to the set $mathcal{D}_1^{L_nrightarrow Y_m}$ consisting of discrete fuzzy numbers $A$ whose support is a closed subinterval of the finite chain $L_n = {0, 1, ldots, n}$ and whose membership values $A(x)$, for $x in L_n$, belong to the set $Y_m = { 0 = y_1
