Geodesic
Representation of uni-nullnorms and null-uninorms on bounded lattices
Kybernetika, Tome 60 (2024) no. 1, pp. 76-89
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In this paper, we present the representation for uni-nullnorms with disjunctive underlying uninorms on bounded lattices. It is shown that our method can cover the representation of nullnorms on bounded lattices and some of existing construction methods for uni-nullnorms on bounded lattices. Illustrative examples are presented simultaneously. In addition, the representation of null-uninorms with conjunctive underlying uninorms on bounded lattices is obtained dually.
In this paper, we present the representation for uni-nullnorms with disjunctive underlying uninorms on bounded lattices. It is shown that our method can cover the representation of nullnorms on bounded lattices and some of existing construction methods for uni-nullnorms on bounded lattices. Illustrative examples are presented simultaneously. In addition, the representation of null-uninorms with conjunctive underlying uninorms on bounded lattices is obtained dually.
DOI : 10.14736/kyb-2024-1-0076
Classification : 03B52, 03E72, 03G10, 18B35
Keywords: bounded lattice; uni-nullnorm; null-uninorm; uninorm; T-norm 
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Zhang, Yi-Qun; Wang, Ya-Ming; Liu, Hua-Wen. Representation of uni-nullnorms and null-uninorms on bounded lattices. Kybernetika, Tome 60 (2024) no. 1, pp. 76-89. doi: 10.14736/kyb-2024-1-0076

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