On solving vague systems of linear equations with pattern-shaped columns Original Research Article

In [J. Nedoma, Ann. Oper. Res. 47 (1993) 483–496], a method for optimizing a linear function on the solution set of a vague system of linear equations was proposed. In this paper, we deal with the so-called simultaneous version of this method. We show that it works provided the system matrix is pattern-shaped. In this case, moreover, the iteration process is extremely simple, not requiring any matrix operation after being started. The application of this method to the mentioned optimization problem is straightforward provided a list of the space orthants covering the solution set is given. A way of finding this list is outlined briefly.