Fractal Fract, Vol. 7, Pages 168: Application on Similarity Relation and Pretopology

Fractal Fract, Vol. 7, Pages 168: Application on Similarity Relation and Pretopology

Fractal and Fractional doi: 10.3390/fractalfract7020168

Authors: A. A. Azzam Asmaa. M. Nasr Hewayda ElGhawalby R. Mareay

Due to the tremendous use of computers, the need for dealing with digital information continues to grow. This has led to the need for constructing a structure for saving information in a way that eases data retrieval and processing. An information system is a table form that contains all the data needed for a user to reach a decision. Information systems are the most common form used for knowledge and data representation, and attribute reduction plays an important role in data processing. This paper is devoted to proposing a strategy for attributes reduction based on the similarity relation and pretopological concepts. Moreover, new types of pretopological spaces are to be constructed from the information system. Furthermore, a comparison between pretopologies and their pre-interiors constructed from the information system, as well as the different types of pretopological spaces, is investigated. Finally, the concept of the cover pretopology is applied to the information system.