Title:

Rough approximation operations based on IF sets

Subtitle:

Raport Badawczy = Research Report ; RB/28/2005

Creator:

Radzikowska, Anna : Autor

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2005

Description:

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

Type of object:

Book/Chapter

Subject and Keywords:

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

Abstract:

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.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2005-28

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

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: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

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.

Access:

Open