Geodesic
On the construction of t-norms (t-conorms) by using interior (closure) operator on bounded lattices
Kybernetika, Tome 58 (2022) no. 3, pp. 456-478.

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Recently, the topic of construction methods for triangular norms (triangular conorms), uninorms, nullnorms, etc. has been studied widely. 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 given by Ertuğrul, Karaçal, Mesiar [15] and Çaylı [8] as results. Also, we give some illustrative examples. Finally, we conclude 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.
DOI : 10.14736/kyb-2022-3-0456
Classification : 03B52, 03E72
Keywords: t-norm; t-conorm; ordinal sum; bounded lattice 
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Aşıcı, Emel. On the construction of t-norms (t-conorms) by using interior (closure) operator on bounded lattices. Kybernetika, Tome 58 (2022) no. 3, pp. 456-478. doi : 10.14736/kyb-2022-3-0456. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2022-3-0456/

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