Dominance measuring methods are a recent approach for dealing with complex decision-making problems with imprecise, incomplete or partial information within multi-attribute value/utility theory. These methods compute pairwise dominance values and exploit the information included in the dominance matrix in different ways to derive measures of dominance intensity to rank the alternatives under consideration. We review dominance measuring methods proposed in the literature, describing how their possible drawbacks have been progressively overcome, and comparing their performance with other existing approaches, like surrogate weighting methods, the adaptation of classical decision rules to encompass an imprecise decision context, SMAA or Sarabando and Dias’ method. An example of the selection of cleaning services in a European underground transportation company is used to illustrate dominance measuring methods in a real complex decision-making problem.
Accepté le :
DOI : 10.1051/ro/2016038
Mots-clés : Dominance measuring methods, imprecise information, multi-attribute value/utility theory
@article{RO_2016__50_4-5_809_0,
author = {Jim\'enez-Mart{\'\i}n, Antonio and Mateos, Alfonso and Fern\'andez del Pozo, Juan A.},
title = {Dominance measuring methods for the selection of cleaning services in a {European} underground transportation company},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {809--824},
publisher = {EDP-Sciences},
volume = {50},
number = {4-5},
year = {2016},
doi = {10.1051/ro/2016038},
mrnumber = {3570532},
zbl = {1354.91040},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2016038/}
}
TY - JOUR AU - Jiménez-Martín, Antonio AU - Mateos, Alfonso AU - Fernández del Pozo, Juan A. TI - Dominance measuring methods for the selection of cleaning services in a European underground transportation company JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2016 SP - 809 EP - 824 VL - 50 IS - 4-5 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2016038/ DO - 10.1051/ro/2016038 LA - en ID - RO_2016__50_4-5_809_0 ER -
%0 Journal Article %A Jiménez-Martín, Antonio %A Mateos, Alfonso %A Fernández del Pozo, Juan A. %T Dominance measuring methods for the selection of cleaning services in a European underground transportation company %J RAIRO - Operations Research - Recherche Opérationnelle %D 2016 %P 809-824 %V 50 %N 4-5 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2016038/ %R 10.1051/ro/2016038 %G en %F RO_2016__50_4-5_809_0
Jiménez-Martín, Antonio; Mateos, Alfonso; Fernández del Pozo, Juan A. Dominance measuring methods for the selection of cleaning services in a European underground transportation company. RAIRO - Operations Research - Recherche Opérationnelle, Special issue - Advanced Optimization Approaches and Modern OR-Applications, Tome 50 (2016) no. 4-5, pp. 809-824. doi : 10.1051/ro/2016038. http://www.numdam.org/articles/10.1051/ro/2016038/
E.A. Aguayo, Dominance Intensity Methods for Ranking of Alternatives in MCDM with Imprecise Information. Ph.D. thesis, Universidad Politécnica de Madrid, Madrid (2014).
, and , A new dominance intensity method to deal with ordinal information about a DM’s preferences within MAVT. Knowl. Based Syst. 69 (2014) 159–169. | DOI
and , Comparing methods for multiattribute decision making with ordinal weights. Comput. Oper. Res. 35 (2008) 1660–1670. | DOI | Zbl
and , Decision quality using ranked attribute weights. Man. Sci. 42 (1996) 1515–1523. | DOI | Zbl
, and , Establishing dominance and potential optimality in multi-criteria analysis with imprecise weights and value. Comput. Oper. Res. 28 (2001) 397–409. | DOI | Zbl
, and , A decision support system for multiattribute utility evaluation based on imprecise assignments. Decis. Support Syst. 36 (2003) 65–79. | DOI
, and , A generic multi-attribute analysis system. Comput. Oper. Res. 33 (2006) 1081–1101. | DOI | Zbl
, , and , Contracting of cleaning services in a European underground transportation company with the aid of a DSS. Decis. Support Syst. 43 (2007) 1485–1498. | DOI
, , , , , A MAUT approach for reusing domain ontologies on the basis of the NeOn methodology. Int. J. Info. Tech. Decis. Mak. 12 (2013) 945–968. | DOI
R.L. Keeney and H. Raiffa, Decision with Multiple Objectives: Preferences and Value-Tradeoffs. Wiley, New York (1976). | MR
and , SMAA-2: Stochastic multicriteria acceptability analysis for group decision making. Oper. Res. 49 (2001) 444–454. | DOI | Zbl
, and , SMAA-Stochastic multiobjective acceptability analysis. Eur. J. Oper. Res. 106 (1998) 137–143. | DOI
, and , Ordinal criteria in stochastic multi-criteria acceptability analysis (SMAA). Eur. J. Oper. Res 147 (2003) 117–127. | DOI | Zbl
, and , Dominance, potential optimality, imprecise information and hierarchical structure in multi-criteria analysis. Comput. Oper. Res. 29 (2002) 1267–81. | DOI | Zbl
, and , Dominance, potential optimality and alternative ranking in imprecise decision making. J. Oper. Res. Soc. 58 (2007) 326–336. | DOI | Zbl
A. Mateos, A. Jiménez and J.F., Blanco, Ranking methods based on dominance measures accounting for imprecision, edited by F. Rossi and A. Tsoukis. Vol. 5783 of LNAI. Springer, Berlin (2009) 328–339. | MR | Zbl
A. Mateos, A. Jiménez, E.A., Aguayo and A. Moreno, Ranking alternatives on the basis of a dominance intensity measure. Proc. of 25th IFIP WG 8.3 Int. Conf. Decision Support Systems (2010).
, and , Measuring method performance under incomplete information about weights. J. Multi-Crit. Decis. Anal. 19 (2012) 129–142. | DOI
A. Mateos, A. Jiménez, E.A. Aguayo and P. Sabio, Preference intensity in MCDM when and additive utility function represents DM preferences. In Uncertainty Modelling in Knowledge Engineering and Decision Making. Edited by C. Kahraman, E.E. Kerre and P.T. Bozbura. New Jersey, World Scientific (2012) 106–111.
, , and , Dominance intensity measuring methods in MCDM with ordinal relations regarding weights. Knowl. Based Syst. 70 (2014) 26–32. | DOI
, Mathematical programming models for characterizing dominance and potential optimality when multicriteria alternative values and weights are simultaneously incomplete. IEEE Trans. Syst., Man. Cyb. Part A 34 (2004) 601–14. | DOI
, , and , Decision criteria with partial information. IEEE Trans. Oper. Res. 7 (2000) 51–65. | DOI
H. Raiffa, The Art and Science of Negotiation. Cambridge: Harvard University Press (1982).
D. Ríos Insua, Sensitivity Analysis in Multi-objective Decision Making. Springer, New York (1990). | MR | Zbl
and , A framework for sensitivity analysis in discrete multiobjective decision-making. Eur. J. Oper. Res. 54 (1991) 176–190. | DOI | Zbl
and , Preference ratio in multiattribute evaluation (PRIME)-elicitation and decision procedures under incomplete information. IEEE Trans. Syst., Man. Cyb. Part A 31 (2001) 533–545. | DOI
and , Multi-attribute choice with ordinal information: a comparison of different decision rules. IEEE Trans. Syst., Man. Cyb. Part A 39 (2009) 545–554. | DOI
and , Simple procedures of choice in multicriteria problems without precise information about the alternatives values. Comput. Oper. Res. 37 (2010) 2239–2247. | DOI | MR | Zbl
, Robustness of additive value function method in MCDM. J. Multi-Crit. Decis. Anal. 5 (1996) 301–309. | DOI | Zbl
and , Comparison of fuzzy numbers using a fuzzy number measure. Fuzzy Sets Syst. 130 (2002) 331–341. | DOI | MR | Zbl
, and , Comparison of weight approximation techniques in multiattribute utility decision making. Org. Behav. Human Decis. Proc. 28 (1981) 62–77. | DOI
, Decision making with incomplete information. Eur. J. Oper. Res. 28 (1987) 44–57. | DOI | Zbl
R.L. Winkler and W.L. Hays, Statistics: Probability, Inference and Decision. Holt, Rinehart & Winston, New York (1985). | MR
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