Novel parameterized intervals may lead to sharp bounds

This study is deemed as a contribution to interval analysis for solving problems involving uncertainty. In this study, intervals describing variation of various inner properties or external influences on the system are parameterized using trigonometric functions. Once the additional parameters are introduced, the system is analyzed deterministically. Deterministic response of the system, evaluated in the above manner, turns out to be a function of the introduced parameter(s). At this stage one is able to determine the interval of variation of the system response. Several examples are evaluated to demonstrate efficiency of the suggested methodology.