Open AccessIdealization of j-approximation spaces
Author(s) -
Mona Hosny
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2002287h
Subject(s) - rough set , mathematics , vagueness , idealization , context (archaeology) , set (abstract data type) , core (optical fiber) , ideal (ethics) , network topology , discrete mathematics , fuzzy logic , computer science , artificial intelligence , epistemology , paleontology , telecommunications , philosophy , physics , quantum mechanics , biology , programming language , operating system
The current work concentrates on generating different topologies by using the concept of the ideal. These topologies are used to make more thorough studies on generalized rough set theory. The rough set theory was first proposed by Pawlak in 1982. Its core concept is upper and lower approximations. The principal goal of the rough set theory is reducing the vagueness of a concept to uncertainty areas at their borders by increasing the lower approximation and decreasing the upper approximation. For the mentioned goal, different methods based on ideals are proposed to achieve this aim. These methods are more accurate than the previous methods. Hence it is very interesting in rough set context for removing the vagueness (uncertainty).