Some Methods to Construct Uninorms on Bounded Lattices by Closure Operators or (and) Interior Operators

The main objective of this article is to propose novel constructions of uninorms on bound- ed lattices by closure operators or (and) interior operators. Firstly, new constructions of uninorms on bounded lattices via three closure operators are presented. Secondly, new constructions of uninorms on bounded lattices via three interior operators are proposed. This work establishes the conditions for a binary operation to be a uninorm on bounded lattices. We compare the generalized structures presented in this paper with the exist- ing ones and provide some examples to highlight the differences. Finally, additional new constructions of uninorms on bounded lattices are proposed based on closure operators and interior operators.