@misc{Kosiński_Witold_Recent_2011, author={Kosiński, Witold and Kacprzyk, Magdalena}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Książka = Book}, howpublished={online}, year={2011}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={Step ordered fuzzy numbers (SOFN) form a subspace of ordered fuzzy numbers (OFN) that were invented by the first author and his two coworkers in the previous decade. The definition of OFN uses the extension of the parametric representation of convex fuzzy numbers. The space of SOFN may be identified with a 2K-dimensional vector space, where K is responsible for the number of steps. OFN may be equipped with a lattice structure. Then fuzzy implications are defined on OFN and SOFN with the help of algebraic operations defined on OFN. The new objects are proposed that have some similarities with intuitionistic fuzzy sets and fuzzy sets of the 2ed type.}, type={Text}, title={Recent advances in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: foundations * Fuzzy implications on lattice of ordered fuzzy numbers}, URL={http://www.rcin.org.pl/Content/206768/PDF/KS-2011-09-T1P9.pdf}, }