Maximum amplitude interval solution of a given solution in min-product system

In a supply chain system, the price of the goods should satisfy some requirements of the consumer. These requirements have been exactly characterized by a group of min-product fuzzy relation inequalities (FRIs). Correspondingly, any feasible pricing scheme is characterized by a solution of the min-product FRIs system. For a given pricing scheme, or say a given solution in the min-product FRIs, the flexibility is reflected by the maximum amplitude, or equivalently the maximum amplitude interval solution (MAIS). Motivated by such an application background, this work attempts to study the MAIS in min-product FRIs. An efficient algorithm is discovered for computing the MAIS of a solution within the given min-product system. The MAIS will help the system manager be aware of the flexibility of a given pricing scheme and produce better decision-making.