Determining appropriate weight for criteria in multi criteria group decision making problems using an Lp model and similarity measure

Decision matrix in group decision making problems depends on a lot of criteria. It is essential to know the necessity of weight or coecient of each criterion. Accurate and precise selection of weight will help to achieve the intended goal. The aim of this article is to introduce a linear programming model for recognizing the importance of each criterion in multi criteria group decision making with intuitionistic fuzzy data through similarity measure between each alternative and ideal alternative. Based on this model, decision makers and experts will be prevented from making mistakes in recognizing the weight and shape of standardization of their mental measurement units. By using of determined weights, the alternatives will be ranked according to a new method based on ELECTRE III method. An applied and numerical example is presented and the obtained results are compared with other methods.