Migrativity Properties Of 2-uninorms Over Semi-t-operators

As far as we know,the significance of the migrativity property of different aggregation operators stems from its role in different fields,for example,image processing,decision making processes and aggregation of information.The interest of this property not only comes from its applications as mentioned above,but also from the theoretical point of view because it is useful and essential for strcturing a new t-norm by convex combinations between two given ones.In other words,as a supplement of this topic from the theoretical point of view,we will study the migrativity of 2-uninorms.Specifically,we investigate the migrativity property of 2-uninorms over semi-t-operators.In this paper,we analyze and characterize all solutions about α-migrativity properties of the five subclasses of 2-uninorms,i.e.Ck,Ck0,Ck1,C10,C01,over semit-operators.We give the the sufficient and necessary conditions that make theseα-migrativity equations hold for all possible combinations of 2-uninorms over semit-operators.The results obtained show that for G ∈ Ck,the α-migrativity of G over semi-t-operator Fμ,ν is closely related to the α-section of Fμ,ν or the ordinal sum representation of t-norm and t-conorm corresponding to Fμ,ν.But for the other four categories,the α-migrativity over semi-t-operator Fμ,ν is fully determined by the α-section of Fμ,ν.