@misc{Radzikowska_Anna._Autor_Rough_2005, author={Radzikowska, Anna. Autor}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2005}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, 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.}, title={Rough approximation operations based on IF sets}, type={Text}, keywords={Fuzzy sets, Zbiory rozmyte, Rough sets, Fuzzy logical connectives, Zbiory przybliżone}, }