Pseudo-t-norms and L-relation Equations
Liao Da-jian · Journal of Huaihai Institute of Technology · 2003
The notion of pseudo-t-norms and implications on a complete Brouwerian lattice L and some conclusions are introduced in this paper. Using the corresponding conclusions about solutions of equation T(a,x}=b and I(a, x) =b,this paper studies the structure of solutions of sup-T type L-relation A(R) (y) =B(y) and inf-I type L-relation A (R)(.y) =B(y) ,and finally it gets the set for all of their solutions under certain conditions. Where I= I(T) ,a ,b,x L,A Lx and B LY are two known L-subsets, and R LXxY is the unknown L-relation.