Mousavi, Amin ; Jabedar-Maralani, Parviz
Contributor:Grzymala-Busse, Jerzy - ed. ; Świniarski, Roman W. - ed. ; Zhong, Ning - ed. ; Ziarko, Wojciech - ed.
Title: Subtitle:Rough Sets and Their Applications
Group publication title: Subject and Keywords:rough sets ; set theory ; data analysis ; multi-valued logic ; interval sets ; knowledge representation
Abstract: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. ; 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.
Publisher:Zielona Góra: Uniwersytet Zielonogórski
Date: Resource Type: Pages: Source:AMCS, volume 11, number 3 (2001) ; click here to follow the link
Language: License CC BY 4.0: Rights: