Multi-attribute decision-making model based on triangular fuzzy numbers and prospect theory

Abstract

This article combines the theory of triangular vague numbers and prospects to build a multi -attribute decision -making optimization model, and the application of the decision -making problem of the project construction plan has achieved the choice of the construction plan of the project. Among them, the fuzzy treatment of the scheme attribute value through the vague number of the triangle reflects the uncertainty and risk in the actual project. Through the comprehensive weights composed of the objective weight determined by attribute differences and the subjective weight of Delphi -based, the error of attribute weights is effectively reduced. On the basis of the optimization model of this decision, the BIM technology -related application platform and expert assessment method are applied to determine the reference point of the plan attributes and build attribute expectations. The value function of the prospect theory is combined with the comprehensive right vector calculation of the comprehensive prospective value matrix to achieve multi -plan multi -attribute decision -making optimization.