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.
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

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