From the fact that multiobjective programming with indefinite phases has usually only noninferior solutions, the concepts of the noninferior compound matrix of phase return and the recurrence matrix for multiobjective programming with indefinite phases were put forward.

The noninferior solution of mutiobjective decision problem is discussed based on a proposed simple mathematical model of city bus planning.

A genetic algorithm is developed for calculating noninferior solutions of multiobjective optimization in this paper It shows that the method is efficient in a numerical experiment.

In this paper we can get a satisfied solution of equilibrium as the reservoir s optimal dispatching plan from the combining way between pluriennial regulation s ‘long series time last method’ which is easy to come into being‘non inferior solution ’ and multiple target decision ‘approximate aspiration dot arrange method’ which can avoid the effect of decision maker s incline.

After obtaining the non inferior solutions by unified objective method with linear weight, the optimal solution is selected according to fuzzy closeness degree.

It is proven to be Lyapunov stable and asymptotically convergent to its equilibrium point which is just the non inferior solution of mutiobjective linear programming problems.

In multi objective-decision making problems,satisfactory solution often need to be searched in non-inferior solution set.

For example, the well-known weighting method is time-consuming and also easy to leave out some part of total non-inferior solution set.