Relative Sets and Rough Sets

• Autorzy: Mousavi A. , Jabedar-Maralani P.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

rough sets; set theory; data analysis; multi-valued logic; interval sets; knowledge representation

PL

teoria mnogości; analiza danych; przedstawienie wiedzy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: Vol. 11, no 3
• Strony: 637--653
• Opis fizyczny: Bibliogr. 21 poz., rys.

Twórcy

autor

Mousavi A.

autor

Jabedar-Maralani P.

• Department of Electrical and Computer Engineering University of Tehran P.O. Box 14395/515, Tehran, Iran,