TY - GEN
A1 - Mousavi, Amin
A1 - Jabedar-Maralani, Parviz
A2 - Grzymala-Busse, Jerzy - ed.
A2 - Świniarski, Roman W. - ed.
A2 - Zhong, Ning - ed.
A2 - Ziarko, Wojciech - ed.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - In this paper, by defining a pair of classical sets as a relative set, an extension of the classical set algebra which is a counterpart of Belnap's four-valued logic is achieved. Every relative set partitions all objects into four distinct regions corresponding to four truth-values of Belnap's logic. Like truth-values of Belnap's logic, relative sets have two orderings; one is an order of inclusion and the other is an order of knowledge or information.
N2 - By defining a rough set as a pair of definable sets, an integrated approach to relative sets and rough sets is obtained. With this definition, we are able to define an approximation of a rough set in an approximation space, and so we can obtain sequential approximations of a set, which is a good model of communication among agents.
L1 - http://www.zbc.uz.zgora.pl/Content/58782/AMCS_2001_11_3_5.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/58782
KW - rough sets
KW - set theory
KW - data analysis
KW - multi-valued logic
KW - interval sets
KW - knowledge representation
T1 - Relative sets and rough sets
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=58782
ER -