In this paper, we propose construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on bounded lattices by using interior and closure operators, respectively. Thus, we obtain some proposed methods by Ertu\u{g}rul, Kara\c{c}al, Mesiar \cite{Ertugrul} and \c{C}ayl{\i} \cite{Gul} as results. Also, we give some illustrative examples. Finally, we show that the introduced construction methods can not be generalized by induction to a modified ordinal sum for t-norms and t-conorms on bounded lattices. This paper has further constructed the t-norms and t-conorms on bounded lattices from a mathematical viewpoint.
Asici, E. (2022). Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices. Iranian Journal of Fuzzy Systems, 19(1), 125-140. doi: 10.22111/ijfs.2022.6556
MLA
E. Asici. "Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices". Iranian Journal of Fuzzy Systems, 19, 1, 2022, 125-140. doi: 10.22111/ijfs.2022.6556
HARVARD
Asici, E. (2022). 'Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices', Iranian Journal of Fuzzy Systems, 19(1), pp. 125-140. doi: 10.22111/ijfs.2022.6556
VANCOUVER
Asici, E. Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices. Iranian Journal of Fuzzy Systems, 2022; 19(1): 125-140. doi: 10.22111/ijfs.2022.6556
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