The Cross-migrativity And The Law Of Importation With Respect To Information Aggregation Operators

At first,in this paper,the cross-migrativity has been investigated for semi-toperators.we will give all solutions of the cross-migrativity equation with respect to all possible combinations of semi-t-operators.According to the results what we have obtained,it is easily shown that if a semi-t-operator is -cross-migrative over a semi-t-operator ,then the semi-t-operator must be a semi-nullnorm except the one case.Furthermore,the cross-migrativity property between two semi-t-operators is always determined by their underlying operators and for some but not all cases.(And the results of this part was submitted to 《Fuzzy Sets and Systems》).And then,we aim to study the cross-migrativity property for t-operators.In this case,it is interesting that only the semi-t-operators with the same absorbing elements satisfy the cross-migrativity property,and the crossmigrativity property is only determined by their underlying operators.Finally,we study the another property which is called the law of importation of aggregation operators,and the result is published in the collected papers of the International Conference ISKE.