Multi-objective decision making method under indefinite weight information of attributes based on region match degree

When the weight information of attributes is indefinite, how carries on processing to the indefinite weight information is worth studying. The traditional processing thought is that establish an optimized model based on certain criterion such as variance minimizing, take the solution of the optimized model as the attributes´ weight value. The rationality and multiplicity of the criterion are the flaws of the traditional processing thought. Attempt to deal with the decision-making question, in which the weight values´ information only partly may know, from an opposite perspective in this article. Firstly suppose each plan is the synergy, extract the corresponding weight value´s supposition territory. Then judg match degree between each weight value´s supposition territory and the weight value´s objective territory, the plan owing the maximum match degree is the optimal plan.