TITLE:
New Topological Approaches for Data Granulation
AUTHORS:
A. S. Salama, O. G. Elbarbary
KEYWORDS:
Knowledge Granulation; Topological Spaces; Rough Sets; Data Mining; Decision Making; Fuzzy Sets
JOURNAL NAME:
Journal of Software Engineering and Applications,
Vol.6 No.7B,
October
23,
2013
ABSTRACT:
Data granulation is a good tool of
decision making in various types of real life applications. The basic ideas of
data granulation have appeared in many fields, such as interval analysis,
quantization, rough set theory, Dempster-Shafer theory of belief functions,
divide and conquer, cluster analysis, machine learning, databases, information
retrieval, and many others. In this paper, we initiate some new topological
tools for data granulation using rough set approximations. Moreover, we define
some topological measures of data granulation in topological I formation
systems. Topological generalizations using δβ-open sets and their applications
of information granulation are developed.