A Method for Selecting Optimum from Evaluation Schemes Based on Set Pair Analysis

In order to explore relation between evaluation results from different methods, a new model is proposed to choose the optimal scheme based on set pair analysis though comparing the affiliation degree among the given schemes in this paper. Considering the discrepancy degree of evaluation results, it comes up with a method for selecting optimum from evaluation schemes, using the quantity of ranking discrepancy to measure the ranking rationality. This model uses the same, the different and the contrary thought of set pair analysis to describe the connection between the ranking results. It also proves the affiliation degree we defined is the expansion of kendall coefficient of rank correlation. For illustration, an example of trap evaluation in petroleum-gas exploration decision is utilized to show the feasibility and scientificity of the model, comparing with the research results of concerned experts. The model based on set pair analysis can select the optimal one from different evaluation schemes and make merit rating of them, thus a class of decision-making problem with choosing the optimal from different evaluation schemes are solved.