TY  - JOUR
AB  - This paper introduces normal systems and the normal sum of general systems. A system S=(M,R) is normal if and only if any two relations in R are not contained in the same Cartesian product Mn for any ordinary number n. Normal sum is a new kind of decomposition (composition) of general systems. Given a normal system S=(M,R), and two subsets A1⊆M and A2⊆M. One of the main results is that the normal sum of the A1‐related subsystem and the A2‐related subsystem of S equals the (A1∪A2)‐related subsystem of S. This implies that every normal system is a normal sum of its subsystems which are non‐trivial and non‐discrete.
VL  - 32
IS  - 5/6
SN  - 0368-492X
DO  - 10.1108/03684920210443725
UR  - https://doi.org/10.1108/03684920210443725
AU  - Liu Guoyang
PY  - 2003
Y1  - 2003/01/01
TI  - Normal sum decomposition of general systems
T2  - Kybernetes
PB  - MCB UP Ltd
SP  - 640
EP  - 643
Y2  - 2024/04/24
ER  -