Geodesic
On the constructions of t-norms and t-conorms on some special classes of bounded lattices
Kybernetika, Tome 57 (2021) no. 2, pp. 352-371.

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Recently, the topic related to the construction of triangular norms and triangular conorms on bounded lattices using ordinal sums has been extensively studied. In this paper, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an appropriate bounded lattice. Also, we give some illustrative examples for clarity. Then, we show that a new construction method can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an appropriate bounded lattice, respectively. And we provide some illustrative examples.
DOI : 10.14736/kyb-2021-2-0352
Classification : 03B52, 03E72
Keywords: t-norm; t-conorm; ordinal sum; bounded lattice 
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Aşıcı, Emel. On the constructions of t-norms and t-conorms on some special classes of bounded lattices. Kybernetika, Tome 57 (2021) no. 2, pp. 352-371. doi : 10.14736/kyb-2021-2-0352. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-2-0352/

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