Talo, ÖzerBaşar, Feyzi2024-07-122024-07-122009Talo, Ö ve Başar, F. (2009). Quasilinearity of the classical sets of sequences of fuzzy numbers and some related results. Maltepe Üniversitesi. s. 316.9.78605E+12https://hdl.handle.net/20.500.12415/2243In the present study, we prove that the classical sets `?(F ), c(F ), c0(F ) and `p(F ) of sequences of fuzzy numbers are normed quasilinear spaces and the ??, ??duals of the set `1(F ) is the set `?(F ). Besides this, we show that `?(F ) and c(F ) are normed quasialgebras and an operator defined by an infinite matrix belonging to the class (`?(F ) : `?(F )) is bounded and quasilinear. Finally, as an application, we characterize the class (`1(F ) : `p(F )) of infinite matrices of fuzzy numbers and establish the perfectness of the spaces `?(F ) and `1(F ).enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object317316