@misc{Butkiewicz_Bohdan_Developments_2010,
 author={Butkiewicz, Bohdan},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Książka = Book},
 howpublished={online},
 year={2010},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={The filters are described by impulse response. The convolution operation is used to establish the relation between input and output signals in the linear filters theory. Conventionally, the product of impulse response of the filter and input signal shifted in time is integrated to calculate output signal. In this paper the product operation in discrete convolution is replaced by triangular norm operation or basic operations, defined by the author some years ago. Such approach is an extension of conventional idea of convolution. It leads to nonlinear filtering. Some interesting properties as identical impulse, step, and frequency responses of digital filters with T-norms and Band operations or conorms (S-norms) and Bor operations are shown. Moreover, filters with fuzzy parameters and crisp signals passing by such fuzzy nonlinear filters are investigated.},
 title={Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume II: Applications * Filters with T-norms and B-operations},
 type={Text},
 URL={http://rcin.org.pl/Content/198360/PDF/KS-2010-06-T2P06.pdf},
}