Metadata language
Rough approximation operations based on IF sets
Subtitle:Raport Badawczy = Research Report ; RB/28/2005
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:13 stron ; 21 cm ; Bibliografia s. 11-13
Type of object: 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: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
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Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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