Information Order Approximation And The Generalized Chain Complete

In this thesis, we proposed a notion of the family of approximating preorders based on the intuition of calculation and some ideas of [1],[9] and [11]. In the category of preorders we constructed the inverse system and its weak inverse limit produced by the family of approximating preorders. Thus we may say the weak inverse limit is the ordered form of the inverse limit of inverse system and the weakinverse limit we structured is a generation of completion of partial order chains.