A New Procedure of Criteria Weight Determination Within the ARAS Method

• Authors: Ghram Maroua , Moalla Frikha Hela
• Languages of publication: EN

Abstracts

EN

In most of multicriteria aggregation methods, we need to elicit parameters that are generally determined directly by the decision-maker (DM). Direct assigning of parameters and criteria weights presents a crucial and difficult step in the decision-making process. However, this kind of information is too subjective and may affects the reliability of the results. To overcome this issue, we suggest a weighting method based on mathematical programming to incorporate the DM’s preferences indirectly within the ARAS method.

Keywords

EN

ARAS method; Criteria weights; Multiple criteria decision analysis

PL

Kryteria oceny; Metoda ARAS; Wielokryterialna analiza decyzyjna

• Publisher: Uniwersytet Ekonomiczny w Katowicach
• Journal: Multiple Criteria Decision Making
• Year: 2018
• Volume: 13
• Pages: 56-73

Contributors

author

Ghram Maroua

• Research unit “Logistique, Gestion Industrielle et Qualité” (LOGIQ). University of Sfax. Higher Institute of Industrial Management of Sfax

author

Moalla Frikha Hela

• Research unit “Logistique, Gestion Industrielle et Qualité” (LOGIQ). University of Sfax. Higher Institute of Industrial Management of Sfax

References

• Charnes A., Cooper W.W., Ferguson R.O. (1955), Optimal Estimation of Executive Compensation by Linear Programming, Management Science, 1(2), 138-151.
• Chiang K. (2009), Weight Determination for Consistently Ranking Alternatives in Multiple Criteria Decision Analysis, Applied Mathematical Modeling, 34(7), 1779-1787.
• Corazza M., Funari S., Gusso R. (2015), An Evolutionary Approach to Preference Disaggregation in MURAME-based Credit Worthiness Problem, Applied Soft Computing, 29, 110-121.
• Corrente S., Greco S., Kadzinski M., Slowinski R. (2014), Robust Ordinal Regression, Wiley Encyclopedia of Operations Research and Management Science, 1-10.
• De Almeida A.T., De Almeida J.A., Seixas Costa A.P.C., De Almeida-Filho A.T. (2016), A New Method for Elicitation of Criteria Weights in Additive Models: Flexible and Interactive Tradeoff, European Journal of Operational Research, 250(1), 179-191.
• Dias L.C., Mousseau V. (2006), Inferring ELECTRE’s Veto Related Parameters from Outranking Examples, European Journal of Operational Research, 170, 172-191.
• Figueira J., Roy B. (2001), Determining the Weights of Criteria in the ELECTRE Type Methods with a Revised Simos’ Procedure, European Journal of Operational Research, 139, 317-326.
• Frikha H.M., Chabchoub H., Martel J.M. (2010), Inferring Criteria’s Relative Importance Coefficients in PROMETHEE, International Journal of Operational Research, 7(2), 257-275.
• Frikha H.M., Chabchoub H., Martel J.M. (2011a), An Interactive Approach Determining the Indifference Thresholds in PROMETHEE II, Multiple Criteria Decision Making/University of Economics in Katowice, 6, 50-66.
• Frikha H.M., Chabchoub H., Martel J.M. (2011b), An Interactive Disaggregation Approach Determining the Indifference and the Preference Thresholds of PROMETHEE II, International Journal of Multi-Criteria Decision Making, 1(4), 365-393.
• Frikha H.M., Chabchoub H., Martel J.M. (2017), Location of a New Banking Agency in Sfax: A Multi-criteria Approach, International Journal of Information and Decision Sciences, 9(1), 45-76.
• Frikha H.M., Charfi S. (2018), Inferring an ELECTRE I Model from Binary Outranking Relations, International Journal of Multicriteria Decision Making, in press.
• Greco S., Słowiński R., Figueira J., Mousseau V. (2010), Robust Ordinal Regression [in:] M. Ehrgott et al. (eds.), Trends in Multiple Criteria Decision Analysis, International Series in Operations Research & Management Science, 142, 241-283.
• Iowa Drainage Law Manual (2015), Glossary of Common Drainage Terms.
• Jacquet-Lagréze E., Siskos Y. (2001), Preference Disaggregation: 20 Years of MCDA Experience, European Journal of Operational Research, 130(2), 233-245.
• Jacquet-Lagréze E., Siskos Y. (1982), Assessing a Set of Additive Utility Functions for Multicriteria Decision Making: The UTA Method, European Journal of Operational Research, 10, 151-164.
• Kadziński M., Tervonen T. (2013), Robust Multi-criteria Ranking with Additive Value Models and Holistic Pair-wise Preference Statements, European Journal of Operational Research, 228(1), 169-180.
• Kadziński M., Tomczyk M.K. (2017), Interactive Evolutionary Multiple Objective Optimization for Group Decision Incorporating Value-based Preference Disaggregation Methods, Group Decision and Negotiation, 26(4), 693-728.
• Lourenço R.P., Costa J.P. (2004), Using ELECTRE TRI Outranking Method to Sort MOMILP non Dominated Solutions, European Journal of Operational Research, 153, 271-289.
• Martin C., Legret M. (2005), La Méthode Multicritère ELECTRE III: Définitions, Principe et Exemple d’Application à la Gestion des Eaux Pluviales en Milieu Urbain, Bulletin des Laboratoires des Ponts et Chaussées, 258-259.
• Mousseau V., Figueira J., Naux J.Ph. (2001), Using Assignment Examples to Infer Weights for ELECTRE Tri Method: Some Experimental Results, European Journal of Operational Research, 130(2), 263-275.
• Mousseau V., Slowinski R. (1998), Inferring an ELECTRE TRI Model from Assignment Examples, Journal of Global Optimization, 12, 157-174.
• Pekarek K.A., Shelton D.P., Feehan K.A., Holm B.A. (2011), Stormwater Management: Terminology, University of Nebraska-Lincoln Extension, EC701.
• Rezaei J. (2009), Best-worst Multi-criteria Decision-making Method, Omega, 53, 49-57.
• Roszkowska E. (2013), Rank Ordering Criteria Weighting Methods – A Comparative Overview, Optimum. Studia Ekonomiczne, 5(65), 14-33.
• Siskos E., Tsotsolas N. (2015), Elicitation of Criteria Importance Weights Through the Simos Method: A Robustness Concern, European Journal of Operational Research, 246(2), 543-553.
• Siskos J. (1980), Comment Modeliser les Preferences au Moyen de Fonctions d’Utilité Additives, RAIRO Recherche Operationelle, 14(1), 53-82.
• Siskos J. (1983), Analyse de Systèmes de Décision Multicritère en Univers Aléatoire, Foundations of Control Engineering, 8(3-4), 193-212.
• Siskos J., Spyridakos A., Yannacopoulos D. (1993), MINORA: A Multicriteria Decision Aiding System for Discrete Alternatives, Journal of Information Science and Technology, 2(2), 136-149.
• Siskos Y., Yannacopoulos D. (1985), UTASTAR: An Ordinal Regression Method for Building Additive Value Functions, Investigacao Operacional, 5(1), 39-53.
• Vafaei N., Ribeiro R.A., Camarinha-Matos L.M. (2015), Importance of Data Normalization in Decision Making: Case Study with TOPSIS Method in Portugal 2015 [in:] B. Delibašić et al. (eds.), Proceeding of the 1st EWG-DSS International Conference on Decision Support System Technology on Big Data Analytics for Decision Making, Belgrade, Serbia, May 27th-29th.
• Valkenhoef G., Tervonen T. (2016), Entropy-optimal Weight Constraint Elicitation with Additive Multi-attribute Utility Models, Omega, 64(1), 1-12.
• Zavadskas E.K., Turskis Z. (2010), A New Additive Ratio Assessment (ARAS) Method in Multicriteria Decision-making, Technological and Economic Development of Economy, 16(2), 159-172.

Identifiers

ISSN

2084-1531