Research On Topsis Method With Interval Numbers Based On The Reference Points

Because of the complexity of objective things and environments as well as the limitations of the human knowledge and cognitive ability, it is difficult to obtain the accurate evaluation of attributes. In order to solve the uncertain multi-attribute decision making problems, people are attaching more and more importance to the research on uncertain multi-attribute decision-making problems.Based on the summary and analysis on the research status of interval multi-attribute decision making in domestic and foreign, this paper carry out an in-depth study on interval multi-attribute decision making problems which consider the reference points. The main contributions of this dissertation are listed as follows:(1) Some basic theoretical problems of multi-attribute decision making with interval numbers are researched. Two methods on standardization of interval numbers are improved. When the interval data degenerate into accurate values, the improved methods are consistent with the traditional standard methods, so they can better deal with the multi-attribute decision making problems under hybrid information of accurate numbers and interval numbers. A distance measurement method of interval numbers based on uncertainty is given which considers the uncertainty of interval numbers and retain more information for decision making.(2) The multi-attribute decision making method considering reference points is researched. The generation mechanism and classification of reference points are discussed in multi-attribute decision making. The reference point which reflects the decision-maker’s preference is introduced into the traditional TOPSIS method, so the relative closeness coefficient can not only reflect the relative performance of alternatives, but also reflect its absolute performance level. Using the optimization theory and method to look for the base point and the steepest ascent direction of superiority in multi-attribute decision making, it avoids the drawback of traditional method that the base point and the steepest ascent direction of superiority may deviate far from the alternatives.(3) The multi-attribute decision making method with interval numbers considering reference points is researched. The TOPSIS method with interval numbers is given, and the sensitivity analysis of interval span is undertaken. Introducing reference point to TOPSIS method with interval numbers, according to reference point in different forms——point vector and interval vector, providing the TOPSIS method with interval numbers based on subjective reference point and objective reference point respectively.(4) The TOPSIS method with interval numbers based on reference point is applied in the evaluation of R&D projects in an enterprise. The evaluation results reflect the preference of decision makers, which verify the effectiveness and rationality of the proposed method.