Title: The impact of using new significant reference point with TOPSIS methods: study and application

Authors: Moncef Abbas; Zhor Chergui

Addresses: Department of Mathematics, USTHB, Algiers, Algeria ' Department of Mechanics, ENST, Algiers, Algeria

Abstract: In this paper, the impact of Pareto optimality concept on revised TOPSIS method is studied. In particular, we study theoretically the cases in which a preference relation changes when delimiting the choice of the best alternative(s) in an efficient restrictive area. In order to define the most reliable approach a comparative study is established. On this basis, an accurate new method called TOPSIS Nadir is introduced. Furthermore, an adaptation for interval data area is carried out in which we discuss some forms of normalisation. By following the same steps of the TOPSIS methods for group decision makers, we develop and compare two new procedures.

Keywords: group decision makers; GDM; TOPSIS methods; reference points; crisp data and interval data; forms of normalisation.

DOI: 10.1504/IJIDS.2019.101139

International Journal of Information and Decision Sciences, 2019 Vol.11 No.2, pp.95 - 115

Received: 07 Sep 2016
Accepted: 14 Jun 2017

Published online: 22 Jul 2019 *

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