An extension to the fuzzy multiple criteria decision making (MCDM) model is suggested in this work, where the ratings of alternatives versus criteria, and the importance weights of all criteria, are assessed in linguistic values represented by fuzzy numbers. Moreover, values of alternatives under objective criteria are normalized by a suggested approach. Meanwhile, the membership function of the final fuzzy evaluation value of each alternative can be developed. In addition, a Riemann integral based mean of removals is suggested to rank all the final fuzzy evaluation values for final decision making, so that the ranking procedure can be clearly formulated. Finally, a numerical example demonstrates the feasibility of the proposed model.
