A new method with projection technique for fuzzy multi-attribute decision making

A conception of the left and right projection which one fuzzy vector project on another is introduced in this paper. The purpose is to propose a new method to select an optimal alternative in fuzzy multi-attribute decision making environment. Using the conception of the left and right projection, the difference of each alternative with the fuzzy ideal solution or negative ideal solution are projected on the fuzzy weight vector. The size of the combination projection coefficient that combines the left and right projection coefficients is used as a judgement standard to measure each alternative. The decision making criterion is that the more the combination projection coefficient, the more superior the alternative.