Research On Multiple Attribute Decision Making Based On The Triangular Fuzzy Number With Preference

As a basic human activity, decision-making has been widely used in many fields. Because of the uncertainty of the objective world, limited knowledge of decision-makers and complexity of the decision problem, decision-makers often can not give an exact determination for some attribute values, intuition triangular fuzzy number is one expression of uncertain property values. Therefore, the study of multi-attribute decision making with preference based on triangular fuzzy number has important theoretical and practical significance. The main thesis of the work and achievements are as follows:(1) For the fuzzy multiple attribute decision question that weights have been identified, select a different reference point to compare based on prospect theory, because they represent different decision-makers regarding the attitude. After selecting the reference point, measure the gain or loss in accordance with the reference point, thereby establishing the value function matrix formula based on the value of the function of prospect theory. Finally, compare and analysis the different results corresponding to selected different reference points and use sensitivity to distinguish the merits of the reference point.(2) For the fuzzy multiple attribute decision question that attribute weights uncertain, proposed four new methods based on prospect theory, compare and analysis the advantages and disadvantages of the four methods.The first method is to construct a new score function. The score function taking into account the support, oppose degree, abstaining section tend to support part and tend to oppose part. The advantages of this method are taking into account support degree and oppose degree at the same time and the amount of calculation is smaller.The second method is introduced the gray correlation into fuzzy multiple attribute decision and provides a new way of thinking. This method is simple and intuition, the results obtained are directly dependent on the original data.The third method defines the comprehensive prospect ideal and the comprehensive prospect negative ideal,proposed a fuzzy multi-attribute decision making new concept--- program satisfaction, established a single objective optimization model based program satisfaction and get the corresponding sorting method.The fourth method got the positive prospect value and negative prospect value based on prospect theory. Then sort by nearness to the program, nearness the bigger, program the greater.This article studies multiple attribute decision making based on the triangular fuzzy number with preference, enrich and improve the fuzzy multi-attribute decision making theory, improving the decision-making process and scientific usefulness.