State varied weight is seen as state utility function.

The paper elaborates the reversible and the irreversible process,spontaneous and non-spontaneous process in thermodynamic system and whether thermodynamic state function S,F and G can be reversible,along with the criteria of direction and limitation,under certain conditions.

For the surface semi_elliptical crack existing in pipe,some limit state function expressions about pipeline fracture failure are established with the failure assessment diagram technique.

Analysed the processing of the automata of mode-string of KMP Algorithm when mismatch oceured,pointed out some unreasonableness which existed in the back processing of the state functions,and then generalized it homologous.

This paper presented state functions of investment,progress,quality and surrounding.

Utility Function Applied in Cost Optimization of Oil Gas Pipeline Integrity Maintenance;

Spotbeam handover scheme for LEO satellite mobile communication systems by using utility function;

Worst-Case Index based on Utility Function;

First, a new kind of effective function is proposed, by which the decision making matrix with different dimensions and different kinds of indexes is changed uniformly into effective matrix.

In order to get the synthetical estimate value of ship-to-air battle channels,we use three effect functions to calculate the value of index of the project-layer.

The paper uses linear and exponential function as the effect function of transporters to analyze,and to compare the ex- pected effects of three strategies(checking,seizing and fining)of managing exceeing limit and overload transportation in the transporters with different preferences and shows an example.