Constructing uninorms via closure operators on a bounded lattice

In this paper, via closure (resp. interior) operators on a bounded lattice L, we propose a rather effective method to construct uninorms on L with a given triangular norm T (resp. triangular conorm S) on the subinterval [ 0 , e ] (resp. [ e , 1 ] ) of L. Our method encompasses as special cases the construction methods introduced by F. Karacal and R. Mesiar (2015) [16] as well as by G.D. Cayli et al. (2016) [5] . We also exploit a pair of novel closure and interior operators on complete lattices and utilize this pair of operators to construct uninorms. Several interesting examples are included to illustrate our method.