Uninorm solutions and (or) nullnorm solutions to the modularity condition equations

摘要

In this paper, uninorm solutions and (or) nullnorm solutions to the modularity condition equations are in detail discussed and then we find that no new non-trivial solutions to the equations appear, where uninorms discussed lie in the set CU of uninorms continuous in (0,1)~2. Further, the differences between elements in CU and in U have been shown.