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

Document Type : Research Paper


Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran


Decision matrix in group decision making problems depends on a lot of criteria. It is essential to know the necessity of
weight or coefficient 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.


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