The SPOTIS Rank Reversal Free Method for Multi-Criteria Decision-Making Support

In this paper, we propose a new Multi-Criteria Decision-Making method (MCDM) which is rank reversal free. We call it the SPOTIS method standing for Stable Preference Ordering Towards Ideal Solution method. Our method is exempt of rank reversal because the preference ordering established from the score matrix of the MCDM problem under consideration does not require the relative comparisons between alternatives, but only comparisons with respect to the ideal solution chosen by the MCDM system designer after transforming the incomplete original MCDM problem into a well-defined one thanks to the specification of the min and max bounds of each criterion involved in the problem.

[1]  Wojciech Sałabun,et al.  The Characteristic Objects Method: A New Distance‐based Approach to Multicriteria Decision‐making Problems , 2015 .

[2]  E. Triantaphyllou,et al.  Ranking irregularities when evaluating alternatives by using some ELECTRE methods , 2008 .

[3]  M. Bohanec,et al.  The Analytic Hierarchy Process , 2004 .

[4]  Valerie Belton,et al.  On a short-coming of Saaty's method of analytic hierarchies , 1983 .

[5]  Feng Kong,et al.  Rank Reversal and Rank Preservation in TOPSIS , 2011 .

[6]  Renan Felinto de Farias Aires,et al.  THE RANK REVERSAL PROBLEM IN MULTI-CRITERIA DECISION MAKING: A LITERATURE REVIEW , 2018, Pesquisa Operacional.

[7]  C. Hwang,et al.  TOPSIS for MODM , 1994 .

[8]  Pierre Louis Kunsch.  A Statistical Approach to Complex Multi-Criteria Decisions , 2010 .

[9]  Sajjad Zahir,et al.  A Comprehensive Literature Review of the Rank Reversal Phenomenon in the Analytic Hierarchy Process , 2013 .

[10]  Andrzej Piegat,et al.  Identification of a Multicriteria Decision-Making Model Using the Characteristic Objects Method , 2014, Appl. Comput. Intell. Soft Comput..

[11]  Jian-Bo Yang,et al.  Multiple Attribute Decision Making , 1998 .

[12]  J. Barzilai,et al.  Ahp Rank Reversal, Normalization and Aggregation Rules , 1994 .

[13]  Deqiang Han,et al.  A new Belief Function based approach for multi-criteria decision-making support , 2016, 2016 19th International Conference on Information Fusion (FUSION).

[14]  Ying Luo,et al.  On rank reversal in decision analysis , 2009, Math. Comput. Model..

[15]  Jurgita Antucheviciene,et al.  Evaluation of Ranking Accuracy in Multi-Criteria Decisions , 2006, Informatica.

[16]  X. Rong Li,et al.  Measures for ranking estimation performance based on single or multiple performance metrics , 2013, Proceedings of the 16th International Conference on Information Fusion.

[17]  T. Stewart.  A CRITICAL SURVEY ON THE STATUS OF MULTIPLE CRITERIA DECISION MAKING THEORY AND PRACTICE , 1992 .

[18]  Dubravka M. Pavlicic,et al.  Normalisation affects the results of MADM methods , 2001 .

[19]  Keith R. Matthews,et al.  Elementary Linear Algebra , 1998 .

[20]  Artur Karczmarczyk,et al.  Handling Data Uncertainty in Decision Making with COMET , 2018, 2018 IEEE Symposium Series on Computational Intelligence (SSCI).

[21]  Yong B. Shin,et al.  A CRITICAL REVIEW OF POPULAR MULTI-CRITERIA DECISION MAKING METHODLOGIES , 2013 .

[22]  Da Ruan,et al.  Computational Intelligence in Complex Decision Systems , 2010 .

[23]  Evangelos Triantaphyllou,et al.  Multi-criteria Decision Making Methods: A Comparative Study , 2000 .