Sufficient and Necessary Condition for the Existence of Solutions to a Type of L-Relation Equations
Liao Da-jian · Journal of Huaihai Institute of Technology · 2008
The structure of the solution of equations T(a,x)=b and I(a,x)=b is discussed in this paper based on quasi-t-norm,and the solution set and the sufficient and necessary condition for the existence of solutions are obtained.Making use of the solution set,this study probes into the structure and solution set of equations T((a1,a2),(x1,x2))=(b1,b2) and I((a1,a2),(x1,x2))=(b1,b2),where L is a complete Brouwerian lattice,T is a quasi-t-norm and I is an implication.