On The Conditional Distributivity Of Semi-t-operators Over Uninorms

The conditional distributivity between different aggregation operators is vital for many different fields for example utility theory,integration theory and so on,moreover has received wide attention from the researchers.In previous articles,we have studied a lot of conditional distributivity before operators,and obtained a series of valuable research results,such as triangular norm triangular conorm and uni-nullnorm.In some existing generalization,the restricted but not completely justified condition that value of the inner operator is less than 1 was always presumed.Therefore,for a more general and reasonable setting,namely,the value of the inner operator strictly bounded between 0 and 1,we introduce and fully characterize the conditional distributivity of a semi-t-operator over a uninorm.In comparison with the corresponding results obtained,there are many new solutions,This article can also be regarded as an extension?...