Geodesic
An extension of the ordering based on nullnorms
Kybernetika, Tome 55 (2019) no. 2, pp. 217-232
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In this paper, we generally study an order induced by nullnorms on bounded lattices. We investigate monotonicity property of nullnorms on bounded lattices with respect to the $F$-partial order. Also, we introduce the set of incomparable elements with respect to the F-partial order for any nullnorm on a bounded lattice. Finally, we investigate the relationship between the order induced by a nullnorm and the distributivity property for nullnorms.
In this paper, we generally study an order induced by nullnorms on bounded lattices. We investigate monotonicity property of nullnorms on bounded lattices with respect to the $F$-partial order. Also, we introduce the set of incomparable elements with respect to the F-partial order for any nullnorm on a bounded lattice. Finally, we investigate the relationship between the order induced by a nullnorm and the distributivity property for nullnorms.
DOI : 10.14736/kyb-2019-2-0217
Classification : 03B52, 03E72
Keywords: nullnorm; partial order; bounded lattice; distributivity 
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Aşıcı, Emel. An extension of the ordering based on nullnorms. Kybernetika, Tome 55 (2019) no. 2, pp. 217-232. doi: 10.14736/kyb-2019-2-0217

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