The Choquet capacity and integral is an efficient tool to flexibly show the decision maker’s correlative preference information on multiple decision criteria as well as decision alternatives. In this paper, we enrich the capacity and Choquet integral based decision making scheme from two aspects. The first aspect is to introduce the multiple goals linear programming to aid the decision maker to find out and adjust the inconsistency among the correlative preference information, which needs little prior knowledge of field but can identify the inconsistent constraints efficiently and give the adjust suggestions flexibly. The second aspect is to propose a random simulation based comprehensive decision aid algorithm to show the dominance relationships between all decision alternatives and then unify them into the most creditable ranking order of alternatives, which is quite different to the thought of unique representative ranking order accomplished by the optimization model of some existing methods. An illustrative example is given to show that the enriched decision making scheme is robust to deal with the inconsistent correlative preference information and also practicable to obtain the comprehensive dominance relationship of multiple decision alternatives.
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