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.
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. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-2-0217/

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