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Raport Badawczy = Research Report ; RB/28/2005
Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
13 pages ; 21 cm ; Bibliography p. 11-13
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.
Raport Badawczy = Research Report
Creative Commons Attribution BY 4.0 license
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: ; -
Systems Research Institute of the Polish Academy of Sciences
Library of Systems Research Institute PAS
Oct 8, 2020
Sep 17, 2020
1
https://rcin.org.pl./publication/175140
Edition name | Date |
---|---|
RB-2005-28 : Radzikowska Anna Maria : Rough approximation operations based on IF sets | Oct 8, 2020 |
Radzikowska, Anna
Abraham, Ajith Hassanien, Aboul Kacprzyk, Janusz (1947– ) Peters, James
Hryniewicz, Olgierd (1948– )
Szmidt, Eulalia Kacprzyk, Janusz (1947– )
Szmidt, Eulalia Kacprzyk, Janusz (1947– )
Pedrycz, Witold (1953– ) Shai, Ofer Succi, Giancarlo