A new ranking model for multi attribute group decision making problems with intuitionistic fuzzy data

Subject Areas : Statistics

zeynab  eslaminasab ¹ (Department of mathematics, Kerman Azad University, Kerman, Iran.)
Ali  Hamzehee ² (Department of mathematics, Kerman Azad University, Kerman, Iran.)

Received: 2019-07-10 Accepted : 2019-12-21 Published : 2021-07-23

Keywords: عدد فازی شهودی, رتبه بندی, برنامه ریزی خطی, وزن شاخصها,

Abstract :

In today’s world, intrinsic complexity in numerous decision making conditions, decides the need of utilizing decision making methods more than previously. On the other hand, the present modern organization have turned out to be so widespread, which one doesn’t capable to oversee them. In this manner, this issue of multi attribute group decision making is considered as an organizational problem. In multi attribute group decision making problems, according to the different attributes in decision matrix, knowing the coefficient of importance or weight of each attribute in decision making is essential. As the weight of each attribute express its relative importance to the others and the conscious and correct selection of weights is a great help in achieving the desired goal. The purpose of this paper is to introduce a linear programming model to determine the weight of each attribute in multi attribute group decision making problems with intuitionistic fuzzy data. As good as, decision makers are prevented from making eventual mistakes in determining the weight of attributes. Finally, using the obtained weights, a new method for ranking the alternatives based on ELECTRE III method, is presented. A numerical applied example is provided to illustrate the details of the proposed method.

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