“…Moore [20,21,22,29,30] as the first mathematician who has proposed a rigorous framework for interval computations, the famous Archimedes from Syracuse (287-212 b.C) proposed 23 centuries before a two-sides bounding of π: 3 + Interval arithmetic, and interval analysis (IA) have been introduced as a computing framework which allows to perform analysis by computing mathematic bounds. Its extensions of the areas in applied and computational mathematics are important: non-linear problems, partial differential equations, inverse problems, global optimization and set inversion [1,13,14,20,21,22,30,32]. It finds a large place of applications in controllability, automation, robotics, embedded systems, biomedical, haptic interfaces, form optimization, analysis of architecture plans, etc.…”