Special types of tolerance and control solutions to system of interval linear equations
Warintorn Pongsumrankul, Phantipa Thipwiwatpotjana · 2021
In this thesis, we study a system of interval linear equations of the form Ax=b which includes an interval coe?icient matrix and an interval right hand side vector. There are many types of solutions of this system which serve the different semantics in real-life situations such as tolerance and control solutions. We pay attention to the semantics that some boundaries of intervals are important. Moreover, we combine these semantics together with the semantics of tolerance and control solutions in order to present the new types of solutions to Ax=b, called special tolerance left, special tolerance right, special control left and special control right solutions. In addition, we study the characteristics of the new solution and apply them to solve the course assignment problem with interval workload constraints.��