Abstract:A method for ranking alternatives based on the fuzzy soft set theory is proposed to solve multi-person decisionmaking
problems with difference of index sets. According to the parameters considered by decision makers and scores
given by decision makers, the fuzzy soft sets of multi-person decision information are constructed. Then new fuzzy soft
sets integrating with index parameters considered by decision makers can be obtained by “AND” operation, meanwhile new
membership matrix can be constructed. Furthermore, the weighted comparison matrix between alternatives is established
by considering index weight. By this way, the dominance degree of alternatives can be calculated, and all the alternatives
are ranked according to the total dominance degree. Finally, a numerical example is given to illustrate the feasibility and
effectiveness of the proposed method.