A New Construction Method for Uninorms on a Bounded Lattice L via a Binary Function with an Element of L and a Uninorm on a Subinterval of L
Zhen-Yu Xiu, Zheng-Yuan Si, Zheng Xu · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 2025
In this paper, we study the construction method for uninorms on a bounded lattice L via a binary function with a given uninorm on a subinterval of L and an element q (respectively p) of L. Specifically, we provide the conditions under which the function can be a uninorm on L when q (respectively p) belongs to some different subsets of L. Moreover, some illustrative examples and figures are provided.