Extended Tolerance Relation to Define a New Rough Set Model in Incomplete Information Systems
Author(s) -
Do Van Nguyen,
Kōichi Yamada,
Muneyuki Unehara
Publication year - 2013
Publication title -
advances in fuzzy systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.38
H-Index - 19
eISSN - 1687-711X
pISSN - 1687-7101
DOI - 10.1155/2013/372091
Subject(s) - rough set , relation (database) , set (abstract data type) , core (optical fiber) , computer science , data mining , dominance based rough set approach , matching (statistics) , information system , complete information , theoretical computer science , mathematics , algorithm , statistics , mathematical economics , telecommunications , electrical engineering , programming language , engineering
This paper discusses and proposes a rough set model for an incomplete information system, which defines an extended tolerance relation using frequency of attribute values in such a system. It first discusses some rough set extensions in incomplete information systems. Next, “probability of matching” is defined from data in information systems and then measures the degree of tolerance. Consequently, a rough set model is developed using a tolerance relation defined with a threshold. The paper discusses the mathematical properties of the newly developed rough set model and also introduces a method to derive reducts and the core
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