The evolution and spreading of data capturing methods ranging from simple GPS devices like smart-phones to large scale imaging equipment – including very high resolution hyperspectral cameras LiDAR resulted in an exponential growth the amount spatial maintained by companies organizations. At same time for extracting information such are often behind efficiency. In this paper we analyse possibil...

the notion of $f$-derivations of up-algebras is introduced, some useful examples are discussed, and related properties are investigated. moreover, we show that the fixed set and the kernel of $f$-derivations are up-subalgebras of up-algebras,and also give examples to show that the two sets are not up-ideals of up-algebras in general.