Projected compromise method for fuzzy multiple attribute decision making

This paper proposed a fuzzy vector projection method to solve multiple attribute decision problems with trapezoidal fuzzy numbers in L–R forms. First of all, the weighted alternative vector is projected onto the ideal solution space, and then the negative ideal solution is also projected onto the alternative vector. On the basis of the two vector projections, a relative closeness degree of alternative and ideal solution is defined to rank all the decision alternatives. To make this clearer, an illustrative example is given for demonstration.