No abstract

In order to reveal the relationship between optimizing a certain function of system and optimizing the relevant functions provided necessarily by its subsystems to realize the function of system, this paper studies the systematic mechanism of the function of system not being equal to the sum of the relevant functions of its subsystems based on function additivity, and obtains some laws about optimizing system and its subsystems on condition that these functions are additive. In addition, it lays a foundation for the further research, i.e. how to ascertain the function provided necessarily by every subsystem and the value of it when we want a system or a certain function of it to be optimal.

No abstract

No abstract

An error matrix equation based on error matrix theory was presented in previous research of the error-eliminating theory. The purpose of solving the error matrix equation is to create a decision support on how to switch from bad to good status. A matrix based on error logic is used to express current status u, expectant status u 1 and transformation matrix T.It is u, u 1 , and T that are used to build error matrix Equation   1 T u u . This allows us to find a method whereby bad status "u" changes to good status "u 1 " by solving the equation. The conversion method that transform from current to expectant status can be obtained from the transformation matrix T. On this basis, this paper proposes a new kind of error matrix equation named "containing-type error matrix equation". This equation is more suitable for analyzing the realistic question. The method of solving, existence and form of solution for this type of equation have been presented in this paper. This research provides a potential useful new technique for decision analysis.