This paper introduced concept and commonly operation rule of interval variable,then according to different situations it put forward five interval computing methods for non-probabilistic reliability tndex.

"GrC" is a superset of the theory of fuzzy information granula- tion, rough set theory, the theory of the quotient space and Interval computing etc, which is a branch of granular math- ematics.

A method by integrating partition of threshold switching surfaces with interval computation was proposed to get the conservative approximation of a timer event s irregular switching surface, which can solve the trouble when there exist timers in continuous blocks of hybrid systems and is hard to discrete.

One approach of specifying the computing intervals in the diatomic molecular vibration problems is presented,which is based on the potential function and the action mechanism of diatomic molecule.

Based on the capability of moving objects,a interzone-time algorithm and a critical algorithm are presented.

The proposed algorithm firstly uses the interval method to obtain all small intervals for the global optimization,then employs the Genetic Algorithm to execute the later process.