Some Methods To Construct 2-uninorms That Basic On The Ordinal Sum

Because aggregation operators perform the combination of several inputs into a single output,it's used as a very important the mathematical model corresponding to information fusion.How to select the construction and choice of aggregation operators is an important issue.The choice of a appropriate aggregation operator has a critical impact to information fusion which can determine the merits and demerits of fusion effect.Uninorms as mixed aggregation operations on the unit interval have been widely used in many aspects,such as fuzzy recognition,image processing,data fusion and so on.2-uninorms are special uninorms.In this paper,six methods of constructing 2-uninorms modules are proposed by using the ordinal sum theory of Clifford semigroups.Based on these methods,a number of new 2-uninorms are obtained.In addition,by using these construction methods,some counter-examples are constructed,which shows that the inverse propositions of all decomposition theorems of the continuous fundamental operator 2-uninorms modules in the paper are not tenable.