Characterization And Construction Of Uninorms On A Bounded Lattice

Uninorm is a kind of associative aggregation operator,which is widely used in fuzzy set theory,expert system and neural network.In this paper,we mainly study six kinds of uninorms on a bounded lattice,the main research contents are as follows:First,according to the definition of the classes U_min and U_max of uninorms on real unit interval,the rational definitions of these two kinds of uninorms on a bounded lattice are analyzed and given;by using triangular conorm and triangular subnorm,we obtain the characterization theorem of uninorms in U_min,similarly,by using triangular norm and triangular superconorm,we obtain the characterization theorem of uninorms in U_max,these two characterization theorems unify all the existing construction methods for these two classes of uninorms known in the literature.Then,we define four other kinds of uninorms on a bounded lattices and give their construction methods by using triangular subnorm and triangular superconorm.Finally,we discussed the relationship between these six types of uninorms.