Abstract
This paper will discuss developing a new mathematical method through analysis of
information system where we deal with some ambiguity problems. We will represent
this knowledge into one or more types of classes then we can use these classes to make
a topology called modern Topology. After that we will compare the base of modern
Topology with other basis after removing some attributes then we will decide the core
elements via the comparison. These elements will obviously be the true elements in the information system .we also will explain some analysis examples about diseases ,plantsand languages .we can show the core elements via methods of analysis .This paper shows how to use reduction of information through attribute reduction.After removing each attribute we must keep the basic properties of the system.This will inspire many to contribute to the cultivation of modern Topology in the field of mathematical instructure of modern approximations.partically rough set theory.