Kybernetika 55 no. 2, 217-232, 2019

An extension of the ordering based on nullnorms

Emel AşıcıDOI: 10.14736/kyb-2019-2-0217

Abstract:

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.

Keywords:

distributivity, bounded lattice, nullnorm, partial order

Classification:

03E72, 03B52

paper.pdf

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