Application of extended evaluation method to the decision-making problems of alternatives

An extended evaluation method for the decision-making problems of alternatives is introsuced by means of extension theory. The extended evaluation method can carry out the decision-making problems of the alternatives based on matter-element models and extended relational degrees. The matter-element model of the desired alternative (ideal alternative) and the matter-element models of alternatives are established according to decision-makers' knowledge or practical experience, and then the alternatives can be ranked by extended relational degrees to choose the optimal one (s). The extended evaluation method can give more sufficient information about the alternatives (proper or/and not proper information) than conventional fuzzy decision-making methods. Finally, it has been expounded through two illustrative examples that the application of the extended evaluation method to the decision-making problem of the alternatives is the effective and the evaluated results will give decision-makers the theoretical guidance to select the alternatives.