Determination of the Smallest-Greatest Uni-Nullnorms and Null-Uninorms on an Arbitrary Bounded Lattice L

Mehmet Akif İnce, Funda Karaçal · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 2023

In this paper, we study uni-nullnorms and null-uninorms on bounded lattices, which are generalizations of uninorms, nullnorms, t-norms and t-conorms. We construct two uni-nullnorms and two null-uninorms on a bounded lattice [Formula: see text]. We determine the smallest-greatest uni-nullnorms with 2-neutral element [Formula: see text] and the smallest-greatest null-uninorms with 2-neutral element [Formula: see text] by using these construction methods.

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