Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Relative sets and rough sets
Contributor:
Grzymala-Busse, Jerzy - ed. ; Świniarski, Roman W. - ed. ; Zhong, Ning - ed. ; Ziarko, Wojciech - ed.
Subtitle:
Rough Sets and Their Applications
Group publication title:
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
Resource Identifier:
Pages:
Source:
AMCS, volume 11, number 3 (2001) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2001)
Last modified:
Jul 14, 2025
In our library since:
Jul 21, 2021
Number of object content hits:
265
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/65565
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 1 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 2 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 3 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 4 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 5 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11, number 6 (2001)
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| Edition name | Date |
|---|---|
| Relative sets and rough sets | Jul 14, 2025 |
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