A projection method for fuzzy multi-attribute decision making

The concept of the left, the right and the midst projection which one fuzzy vector projects on another is introduced in this paper. The purpose is to propose a new criterion to select an optimal alternative in fuzzy multi-attribute decision-making environment. Using the concept of the left, the right and the midst projection, each alternative is projected on the fuzzy weighted vector. A measure function that is composed of the left projection coefficient, the right projection coefficient and the midst projection coefficient is constructed to measure each alternative. The decision-making criterion is that the more the measure functions, the more superior the alternative is.