A Hybrid Data Envelopment Analysis Method for Solving Decision Making Problems with GTHF Numbers

Subject Areas : Statistics

tayebeh Rezaei Taziani ¹ , mahnaz barkhordariahmadi ² , mohamad reza Balooch Shahryari ³

1 - Department of Mathematis,Kerman Branch,Islamic Azad University,Kerman,Iran
2 - Department of Mathematics, Faculty of Science, Bandar Abbas Azad University, Bandar Abbas, Iran.
3 - Department of Mathematis,Kerman Branch,Islamic Azad University,Kerman,Iran

Received: 2020-10-16 Accepted : 2021-05-04 Published : 2022-08-23

Keywords: تحلیل پوششی داده ها, رتبه بندی, مجموعه‌های فازی مردد, اعداد فازی مردد ذوزنقه ای تعمیم یافته (&rlm, GTHF)&rlm, ,

Abstract :

To face uncertainty in the real world, the two value logic has gradually replaced the fuzzy logic. In some real world problems, accurate determination of membership value is difficult and decision- making is associated with uncertainty and hesitation. This new perspective manages the uncertainty caused by hesitation. Generalized trapezoidal hesitant fuzzy numbers (GTHFN), whose membership degree is expressed by several trapezoidal fuzzy number, is best suited to solve the decision-making problem in real life than real numbers. In this paper, we refer to a new concept called 'generalized trapezoidal hesitant fuzzy numbers' and its combination with data envelopment analysis. Using this information, we consider the deviation and the score values as input and output of the data envelopment analysis model in two stages respectively; then we used the result to construct a paired comparison matrix and eventually we prioritize the receivers decision making units. To use some concepts in the proposed decision making method, we first present some definitions of concepts such as the score and deviation functions from the generalized trapezoidal hesitant fuzzy numbers. Finally, a numerical example is presented for the proposed method to confirm its applicability, and the ranking result is compared with the methods of AP, TOPSIS with GTHF number and the weighted geometric operator in [7].

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