Tytuł:

Rough approximation operations based on IF sets

Inny tytuł:

Raport Badawczy = Research Report ; RB/28/2005

Twórca:

Radzikowska, Anna : Autor

Wydawca:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Miejsce wydania:

Warszawa

Data wydania/powstania:

2005

Opis:

13 pages ; 21 cm ; Bibliography p. 11-13

Typ obiektu:

Book/Chapter

Temat i słowa kluczowe:

Fuzzy sets ; Zbiory rozmyte ; Rough sets ; Fuzzy logical connectives ; Zbiory przybliżone

Abstrakt:

In this paper we present rough approximation methods based of Atanassov’s structures referred to as IF sets. In contrast to some existing approaches to the problem, where the unit interval [0,1] and suitable fuzzy fuzzy connectives were used, we will use some class of residuated lattices as basic algebraic structures. In the signature of these algebras we have coun­terparts of two main classes of fuzzy implications. We show that, depending on fuzzy implications determining lower rough approximations, we can ex­press degrees of weak and strong certainities and possibilities of membership (resp. non-membership) of an element to a set.

Czasopismo/Seria/cykl:

Raport Badawczy = Research Report

Typ zasobu:

Text

Szczegółowy typ zasobu:

Report

Źródło:

RB-2005-28

Język:

eng

Język streszczenia:

eng

Prawa:

Creative Commons Attribution BY 4.0 license

Zasady wykorzystania:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitalizacja:

Systems Research Institute of the Polish Academy of Sciences

Lokalizacja oryginału:

Library of Systems Research Institute PAS

Dofinansowane ze środków:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Dostęp:

Open