Multi-attribute extension fuzzy optimized decision-making model of scheme design

Due to the uncertain interval and the incomplete attribute information in the procedure of the complex mechanism scheme design, a computing method for the multi-attribute extension decision making of fuzzy number is proposed. The proposed model for the multi-attribute extension decision making of fuzzy number is developed based on the fuzzy system theory and the extension theory. By adopting the fuzzy-matter element, the multiple-attribute extension decision making matrix is standardized, and the dummy ideal region and the negative ideal region of fuzzy-matter element with integrated attribute information are proposed. Then, the extension distance of fuzzy information is presented, and the synthetic weights of indexes that include both subjective preference and objective information are given based on the extension distance. Based on the extension fuzzy optimal membership degree of design schemes, the optimum design scheme is achieved in the whole system. Finally, an example is provided to examine the model and algorithm.