Ordering based on uni-nullnorms
Künye
Kesicioğlu, M.N. & Şamlı, E. (2020). Ordering based on uni-nullnorms. Journal of Intelligent & Fuzzy Systems, 39(1), 645-663. https://doi.org/10.3233/JIFS-191583Özet
In this paper, orders based on uni-nullnorms on bounded lattices are introduced and discussed. By this way, the existing orders in the literature induced by t-norms, t-conorms, uninorms and nullnorms are extended to much more general form. the relationships between the orders induced by uni-nullnorms and the orders induced by their underlying t-norms, t-conorms, uninorms and nullnorms are presented. A necessary and sufficient condition making a bounded lattice again a lattice with respect to the orders based on uni-nullnorms is given. Also, the relationships between the partially ordered sets based on the orders induced by t-norms and induced by their N-dual t-conorms and conjugate t-norms, which are special uni-nullnorms, are investigated.