Method and Applications for Multiple Attribute Decision-Making Based on Converting Triangular Fuzzy Numbers into Connection Numbers

When assessment information and preference information about alternatives are expressed through triangular fuzzy numbers, those numbers can be converted into identity-discrepancy-contrary connection numbers. Furthermore, multiple attribute decision-making is conducted using connection mathematics theory. The method is simple when attribute weights are unknown and it can both take full advantage of the valuator's fuzzy information and satisfy the decision-maker's preferences. Objective and reasonable fuzzy decision-making is accomplished under the precondition of avoiding the complex process of computing weights and identifying false decision-making caused by using the linear weighted sum model. The decision-making result using this method to solve a partner selection problem in virtual enterprises is similar to that of an established method based on expected values.