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A DSS for Designing an MCDA Study with Application in Performance Evaluation of Forecasting Models

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Financial Decision Aid Using Multiple Criteria

Part of the book series: Multiple Criteria Decision Making ((MCDM))

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Abstract

The purpose of this Chapter is to propose a decision support system (DSS) for designing a multicriteria decision analysis (MCDA) study. The proposed DSS is a revised MCDA methodological framework, which consists of a sequential decision making process with feedback adjustment mechanisms and validation sub-processes. We also provide guidelines on how to operationalize it. For illustration purposes, we adapt the proposed DSS to address the problem of performance evaluation of competing forecasting models under multiple criteria, where the variable to forecast is the price of crude oil.

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Notes

  1. 1.

    For more details on MCDA problematics, the reader is referred to Roy (1985, 1996) and Belton and Stewart (2001).

  2. 2.

    For more details on types of criteria, the reader is referred to Roy (1985) and Vincke (1992).

  3. 3.

    For more details on preference structures, the reader is referred to Roy (1977, 1985), Perny and Roy (1992), Vincke (1992, 2001), Tsoukiàs and Vincke (1992, 1997), and Fishburn (1999).

  4. 4.

    For more details on types of orders, the reader is referred to Roy and Vincke (1984, 1987), Fishburn (1985, 1997) and Tsoukiàs and Vincke (2003).

  5. 5.

    For more details on the social choice paradigm, the reader is referred to Arrow (1963), Black (1958), Arrow and Raynaud (1986), Fishburn (1973) and Bouyssou et al. (2006).

  6. 6.

    For more details on the conjoint measurement paradigm, the reader is referred to Raiffa (1969, 1970), Edwards (1971), and Keeney and Raiffa (1976).

References

  • Alwan, L. C. (2000). Statistical process analysis. Boston: McGraw-Hill.

    Google Scholar 

  • Anderson, T. W., & Darling, D. A. (1952). Asymptotic theory of certain goodness of fit criteria based on stochastic processes. Annals of Mathematical Statistics, 23, 193–212.

    Article  Google Scholar 

  • Anderson, T. W., & Darling, D. A. (1954). A test of goodness of fit. Journal of the American Statistical Association, 49, 765–769.

    Article  Google Scholar 

  • Arrow, K. J. (1963). Social choice and individual values. New York: Wiley.

    Google Scholar 

  • Arrow, K. J., & Raynaud, H. (1986). Social choice and multicriterion decision-making. Cambridge: MIT Press.

    Google Scholar 

  • Bana e Costa, C. A., & Vansnick, J. C. (1999). Reference relations and MCDM. In: Multicriteria decision making: Advances in MCDM models, algorithms, theory, and applications (pp. 4.1–4.23). Boston: Kluwer.

    Google Scholar 

  • Bauer, J. E., Duffy, G. L., & Westcott, R. (2006). The quality improvement handbook. Milwaukee: ASQ Quality Press.

    Google Scholar 

  • Behzadian, M., Kazemzadeh, R. B., Albadvi, A., & Aghdasi, M. (2010). PROMETHEE: A comprehensive literature review on methodologies and applications. European Journal of Operational Research, 200, 198–215.

    Article  Google Scholar 

  • Belton, V., & Stewart, T. (2001). Multiple criteria decision analysis: An integrated approach. Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Black, D. (1958). The theory of committees and elections. London: Cambridge University Press.

    Google Scholar 

  • Blackorby, C., Primont, D., & Russell, R. (1978). Duality, separability, and functional structure: Theory and economic applications. New York: North-Holland.

    Google Scholar 

  • Bottomley, P. A., & Doyle, J. R. (2001). A comparison of three weight elicitation methods: Good, better, and best. Omega, 29, 553–560.

    Article  Google Scholar 

  • Bottomley, P. A., Doyle, J. R., & Green, R. H. (2000). Testing the reliability of weight elicitation methods: direct rating vs. point allocation. Journal of Marketing Research, 37, 508–513.

    Article  Google Scholar 

  • Bouyssou, D. (1986). Some remarks on the notion of compensation in MCDM. European Journal of Operational Research, 26, 150–160.

    Article  Google Scholar 

  • Bouyssou, D. (1990). Building criteria: A prerequisite for MCDA. In: C. A. Bana e Costa (Ed.), Readings in multiple criteria decision aid (pp. 58–80). Berlin: Springer.

    Google Scholar 

  • Bouyssou, D. (1991). A note of the Lmin in favor’ ranking method for valued preference relations. In: M. Cerny, D. Gliikaufovti, & D. Loula (Eds.), Multicriteria decision making. Methods, algorithms, applications (pp. 16–25). Prague: Czechoslovak Academy of Sciences.

    Google Scholar 

  • Bouyssou, D. (1995). A note on the ‘min in favor’ choice procedure for fuzzy preference relations. In: P. M. Pardalos, Y. Siskos, & C. Zopounidis (Eds.), Advances in multicriteria analysis (pp. 9–160). Dordrecht: Kluwer.

    Google Scholar 

  • Bouyssou, D., Marchant, T., Pirlot, M., Tsoukiàs, A., & Vincke, P. H. (2006). Evaluation and decision models with multiple criteria: Stepping stones for the analyst. International Series in Operations Research and Management Science. Boston: Springer.

    Google Scholar 

  • Bouyssou, D., & Pirlot, M. (2002). Nontransitive decomposable conjoint measurement. Journal of Mathematical Psychology, 46, 677–703.

    Article  Google Scholar 

  • Bouyssou, D., & Pirlot, M. (2004). Preferences for multi-attributed alternatives: Traces, dominance and numerical representations. Journal of Mathematical Psychology, 48, 167–185.

    Article  Google Scholar 

  • Brans, J. P. (1982). L’ingénierie de la décision; Elaboration d’instruments d’aide à la décision. La méthode PROMETHEE. In: R. Nadeau & M. Landry (Eds.), L’aide à la décision: Nature, Instruments et Perspectives d’Avenir (pp. 183–213). Québec: Presses de l’Université Laval.

    Google Scholar 

  • Brans, J. P. (1996). The space of freedom of the decision maker modeling the human brain. European Journal of Operational Research, 92, 593–602.

    Article  Google Scholar 

  • Brans, J. P., & Mareschal, B. (1992). PROMETHEE V: MCDM problems with segmentation constraints. Information Systems and Operational Research, 30, 85–96.

    Article  Google Scholar 

  • Brans, J. P., & Mareschal, B. (1994). The PROMCALC and GAIA decision support system for MCDA. Decision Support Systems, 12, 297–310.

    Article  Google Scholar 

  • Brans, J. P., & Mareschal, B. (1995). The PROMETHEE VI procedure. How to differentiate hard from soft multicriteria problems. Journal of Decision Systems, 4, 213–223.

    Article  Google Scholar 

  • Brans, J. P., & Mareschal, B. (2005). PROMETHEE methods. In: J. Figueira, S. Greco, & M. Ehrgott (Eds.), Multiple criteria decision analysis—State of the art surveys (pp. 163–195). Berlin: Springer.

    Google Scholar 

  • Brans, J. P., Mareschal, B., & Vincke, P. (1984). PROMETHEE: A new family of outranking methods in multicriteria analysis. In J. P. Brans (Ed.), Operational research (pp. 477–490). North-Holland: Amsterdam.

    Google Scholar 

  • Brans, J. P., Mareschal, B., & Vincke, P. (1986). How to select and how to rank projects: The PROMETHEE method. European Journal of Operational Research, 24, 228–238.

    Article  Google Scholar 

  • Brans, J. P., & Vincke, P. (1985). A preference ranking organisation method. The PROMETHEE method for MCDM. Management Science, 31, 647–656.

    Article  Google Scholar 

  • Brue, G. (2002). Six sigma for managers. New York: McGraw-Hill.

    Google Scholar 

  • Buzan, T., & Buzan, B. (1993). The mind map book: How to use radiant thinking to maximize your brain’s untapped potential. New York: Penguin Books.

    Google Scholar 

  • Carrington, P. J., Scott, J., & Wasserman, S. (2005). Models and methods in social network analysis. New York: Cambridge University Press.

    Book  Google Scholar 

  • Chamberlin, J. R., & Courant, P. N. (1983). Representative deliberations and representation decisions: Proportional representation and the Borda rule. American Political Science Review, 77, 718–733.

    Article  Google Scholar 

  • Checkland, P. (1981). Systems thinking, systems practice. New York: Wiley.

    Google Scholar 

  • Christensen, E. H., Coombes-Betz, K. M., & Stein, M. S. (2007). The certified quality process analyst handbook. Milwaukee: ASQ Quality Press.

    Google Scholar 

  • Csörgö, S., & Faraway, J. J. (1996). On the estimation of a normal variance. Statistics and Decisions, 14, 23–34.

    Google Scholar 

  • D’agostino, R. B., & Stephens, M. A. (1986). Goodness-of-fit techniques. New York: Marcel Dekker Inc.

    Google Scholar 

  • Dalkir, K. (2005). Knowledge management in theory and practice. Burlington: Elsevier.

    Google Scholar 

  • Dallal, G. E., & Wilkinson, L. (1986). An analytic approximation to the distribution of lilliefors test statistic for normality. American Statistician, 40, 294–296.

    Google Scholar 

  • Davis, C. S., & Stephens, M. A. (1989). Algorithm AS 248: Empirical distribution function goodness-of-fit tests. Applied Statistics, 38, 535–543.

    Article  Google Scholar 

  • De Borda, J. Ch. (1784). Memoire sur les elections au scrutin. Histoire de l’Academie Royale des Sciences (Paris), anneé MDCCLXXXI, 657–665.

    Google Scholar 

  • Debord, B. (1992). An axiomatic characterization of Borda’s k-choice function. Social Choice and Welfare, 9, 337–343.

    Article  Google Scholar 

  • Dent, W. (1974). Analytic approximation to distribution of Durbin-Watson statistic in certain alternative cases. The Indian Journal of Statistics Series B, 36, 163–174.

    Google Scholar 

  • Dhillon, B. S. (2002). Engineering and technology management tools and applications. Boston: Artech House.

    Google Scholar 

  • Dias, L. C., & Mousseau, V. (2006). Inferring ELECTRE’s veto-related parameters from outranking example. European Journal of Operational Research, 17, 172–191.

    Article  Google Scholar 

  • Doumpos, M., & Zopounidis, C. (2002). Multicriteria decision aid classification methods. Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Doyle, J. R., Green, R. H., & Bottomley, P. A. (1997). Judging relative importance: Direct rating and point allocation are not equivalent. Organizational Behavior and Human Decision Processes, 70, 65–72.

    Article  Google Scholar 

  • Dummett, M. (1998). The Borda count and agenda manipulation. Social Choice and Welfare, 15, 287–296.

    Article  Google Scholar 

  • Durbin, J., & Knott, M. (1972). Components of Cramer-Von Mises statistics I. Journal of the Royal Statistical Society Series B, 34, 290–307.

    Google Scholar 

  • Durbin, J., Knott, M., & Taylor, C. C. (1975). Components of Cramer Vonmises Mises statistics II. Journal of the Royal Statistical Society Series B, 37, 216–237.

    Google Scholar 

  • Eden, C. (1988). Cognitive mapping. European Journal of Operational Research, 36, 1–13.

    Article  Google Scholar 

  • Eden, C. (1994). Cognitive mapping and problem structuring for system dynamics model-building. System Dynamics Review, 10, 257–276.

    Article  Google Scholar 

  • Eden, C., & Ackermann, F. (2004). Cognitive mapping expert views for policy analysis in the public sector. European Journal of Operational Research, 152, 615–630.

    Article  Google Scholar 

  • Eden, C., Jones, S., & Sims, D. (1983). Messing about in problems. Oxford: Pergamon Press.

    Google Scholar 

  • Edwards, W. (1971). Social utilities. Engineering economist, 6, 119–129.

    Google Scholar 

  • Edwards, W., & Barron, F. (1994). SMART and SMARTER: Improved simple methods for multiattribute utility measurement. Organizational Behavior and Human Decision Processes, 60, 306–325.

    Article  Google Scholar 

  • Evans, J. R., & Lindsay, W. M. (1999). The management and control of quality. Ohio: South-Western Thomson Learning.

    Google Scholar 

  • Figueira, J, Mousseau, V, & Roy, B. (2005). ELECTRE methods. In: J. Figueira, S. Greco, & M. Ehrgott (Eds.), Multiple criteria decision analysis—State of the art surveys (pp. 133–162). Berlin: Springer.

    Google Scholar 

  • Figueira, J., & Roy, B. (2002). Determining the weights of criteria in the ELECTRE type methods with a revised Simos’ procedure. European Journal of Operational Research, 139, 317–326.

    Article  Google Scholar 

  • Fishburn, P. C. (1970). Utility theory for decision making. New York: Wiley.

    Book  Google Scholar 

  • Fishburn, P. C. (1973). The theory of social choice. Princeton: Princeton University Press.

    Google Scholar 

  • Fishburn, P. C. (1974). Lexicographic orders, utilities and decision rules: A survey. Management Science, 20, 1442–1471.

    Article  Google Scholar 

  • Fishburn, P. C. (1976). Noncompensatory preferences. Synthese, 33, 393–403.

    Article  Google Scholar 

  • Fishburn, P. C. (1977). Condorcet social choice functions. SIAM Journal on Applied Mathematics, 33, 469–489.

    Article  Google Scholar 

  • Fishburn, P. C.(1980). Lexicographic additive differences. Journal of Mathematical Psychology, 21, 191–218.

    Google Scholar 

  • Fishburn, P. C. (1985). Interval orders and interval graphs. New York: Wiley.

    Google Scholar 

  • Fishburn, P. C. (1990a). Additive non-transitive preferences. Economic Letters, 34, 317–332.

    Article  Google Scholar 

  • Fishburn, P. C. (1990b). Continuous nontransitive additive conjoint measurement. Mathematical Social Sciences, 20, 165–193.

    Article  Google Scholar 

  • Fishburn, P. C. (1991). Nontransitive additive conjoint measurement. Journal of Mathematical Psychology, 35, l–40.

    Google Scholar 

  • Fishburn, P. C. (1992). Additive differences and simple preference comparisons. Journal of Mathematical Psychology, 36, 21–31.

    Article  Google Scholar 

  • Fishburn, P. C. (1997). Generalisations of semiorders: A review note. Journal of Mathematical Psychology, 41, 357–366.

    Article  Google Scholar 

  • Fishburn, P. C. (1999). Preference structures and their numerical presentations. Theoretical Computer Science, 217, 359–389.

    Article  Google Scholar 

  • Fodor, J., Marichal, J. L., & Roubens, M. (1995). Characterization of the ordered weighted averaging operators. IEEE Transactions on Fuzzy Systems, 3, 236–240.

    Article  Google Scholar 

  • Fodor, J., & Roubens, M. (1995). On meaningfulness of means. Journal of Computational and Applied Mathematics, 64, 103–115.

    Article  Google Scholar 

  • Fortemps, P., & Pirlot, M. (2004). Conjoint axiomatization of min, discrimin and leximin. Fuzzy Sets and Systems, 148, 211–229.

    Article  Google Scholar 

  • Foster, S. T. (2001). Managing quality: An integrative approach. New Jersey: Prentice-Hall.

    Google Scholar 

  • Friend, J. K., & Hickling, A. (1987). Planning under pressure: The strategic choice approach. New York: Pergamon Press.

    Google Scholar 

  • Friend, J. K., & Jessop, W. N. (1969). Local government and strategic choice. London: Tavistock.

    Google Scholar 

  • Garcia-Lapresta, J. L., & Llamazares, B. (2000). Aggregation of fuzzy preferences: Some rules of the mean. Social Choice and Welfare, 17, 673–690.

    Article  Google Scholar 

  • Gitlow, H, Oppenheim, A, & Oppenheim, R. (1995). Quality management: Tools and methods for improvement. Burr Ridge: Irwin.

    Google Scholar 

  • Gryna, F. M., & Juran, J. M. (2001). Quality Planning and Analysis—From Product Development through Use. Boston: McGraw-Hill.

    Google Scholar 

  • Guitouni, A., & Martel, J. M. (1998). Tentative guidelines to help choosing an appropriate MCDA Method. European Journal of Operational Research, 109, 501–521.

    Article  Google Scholar 

  • Guitouni, A, Martel, J. M., & Vincke, P. (2000). A framework to choose a discrete multicriterion aggregation procedure. Technical Report TR/SMG/2000-003, SMG, Universite Libre de Bruxelles.

    Google Scholar 

  • Harmon, P. (2007). Business process change: A guide for business managers and BPM and six sigma professionals. Boston: Elsevier/Morgan Kaufmann Publishers.

    Google Scholar 

  • Harrison, F. L., & Lock, D. (2004). Advanced project management: A structured approach. Burlington: Gower.

    Google Scholar 

  • Hillson, D., & Simon, P. (2007). Practical project risk management: The atom methodology. Virginia: Management Concepts.

    Google Scholar 

  • Hugonnard, J., & Roy, B. (1982). Le plan d’extension du métro en banlieue parisienne, uncas type d’application de l’analyse multicritère. Les Cahiers Scientifiques de la Revue Transports, 6, 77–108.

    Google Scholar 

  • Ishikawa, K. (1985). What is total quality control? The Japanese way. New Jersey: Prentice-Hall.

    Google Scholar 

  • Jacquet-Lagrèze, E. (1995). An application of the UTA discriminant model for the evaluation of R&D projects. In P. M. Pardalos, Y. Siskos, & C. Zopounidis (Eds), Advances in multicriteria analysis (pp. 203–211). Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Jacquet-Lagrèze, 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.

    Article  Google Scholar 

  • Jacquet-Lagrèze, E., & Siskos, Y. (2001). Preference disaggregation: 20 years of MCDA experience. European Journal of Operational Research, 130, 233–245.

    Article  Google Scholar 

  • Keeney, R. L. (1992). Value-focused thinking. A path to creative decision making. Cambridge: Harvard University Press.

    Google Scholar 

  • Keeney, R. L., & Raiffa, H. (1976). Decisions with multiple objectives: preferences and value trade-offs. New York: Wiley.

    Google Scholar 

  • Kitchin, R., & Freundschuh, S. (2000). Cognitive mapping: Past, present and future. London: Routledge.

    Google Scholar 

  • Knoke, D., & Yang, S. (2008). Social network analysis. California: Sage Publications.

    Book  Google Scholar 

  • Kolmogoroff, A. (1930). Sur la notion de moyenne. Atti delle Reale Accademia Nazionale dei Lincei, 12, 388–391.

    Google Scholar 

  • Krantz, D. H., Luce, R. D., Suppes, P., & Tversky, A. (1971). Foundations of measurement: Additive and polynomial representations. New York: Academic Press.

    Google Scholar 

  • Landry, M., Malouin, J. L., & Oral, M. (1983). Model validation in operations research. European Journal of Operational Research, 14, 207–220.

    Article  Google Scholar 

  • Lewis, P. A. (1961). Distribution of Anderson-Darling statistic. Annals of Mathematical Statistics, 32, 1118–1124.

    Article  Google Scholar 

  • Lewis, J. P. (2007). Fundamentals of project management. New York: American Management Association.

    Google Scholar 

  • Lilliefors, H. (1967). On Kolmogorov-Smirnov test for normality with mean and variance unknown. Journal of the American Statistical Association, 62, 399–402.

    Article  Google Scholar 

  • Luce, R. D., & Raiffa, H. (1957). Games and decisions: Introduction and critical survey. New York: Wiley.

    Google Scholar 

  • Marchant, T. (1996). Valued relations aggregation with the Borda method. Journal of Multi-Criteria Decision Analysis, 5, 127–132.

    Article  Google Scholar 

  • Marchant, T. (1998). Cardinality and the Borda score. European Journal of Operational Research, 108, 464–472.

    Article  Google Scholar 

  • Marchant, T. (2000). Does the Borda rule provide more than a ranking? Social Choice and Welfare, 17, 381–391.

    Article  Google Scholar 

  • Marchant, T. (2001). The probability of ties with scoring methods: Some results. Social Choice and Welfare, 18, 709–735.

    Article  Google Scholar 

  • Marchant, T. (2003). Towards a theory of MCDM: Stepping away from social choice theory. Mathematical Social Sciences, 45, 343–363.

    Article  Google Scholar 

  • marquis de Condorcet, M. J. A. N. (1785). Essai sur l’application de l’analyse à la probabilité des décisions rendues à la pluralité des voix. Paris: Imprimerie Royale.

    Google Scholar 

  • Massey, F. J. (1951). The Kolmogorov-Smirnov test for goodness of fit. Journal of the American Statistical Association, 46, 68–78.

    Article  Google Scholar 

  • May, K. O. (1952). A set of independent necessary and sufficient conditions for simple majority decisions. Econometrica, 20, 680–684.

    Article  Google Scholar 

  • McKellar, B. H. J. (1982). Light-scattering determination of the size distribution of cylinders—An analytic approximation. Journal of the Optical Society of America, 72, 671–672.

    Article  Google Scholar 

  • McLean, I., & Urken, A. B. (1995). Classics of social choice. Ann Arbor: University of Michigan Press.

    Book  Google Scholar 

  • Mitra, A. (1998). Fundamentals of quality control and improvement. New Jersey: Prentice-Hall.

    Google Scholar 

  • Mizuno, S. (1988). Management for quality improvement: The seven new QC tools. Cambridge: Productivity Press.

    Google Scholar 

  • Mousavi, M. M., Ouenniche, J., & Xu, B. (2015). Performance evaluation of bankruptcy prediction models: An orientation-free super-efficiency DEA-based framework. International Review of Financial Analysis, 42, 64–74.

    Article  Google Scholar 

  • Mousseau, V. (1995). Eliciting information concerning the relative importance of criteria. In P. M. Pardalos, Y. Siskos, & C. Zopounidis (Eds.), Advances in multicriteria analysis: Nonconvex optimization and its applications (Vol. 5, pp. 17–43). Kluwer Academic Publishers: Dordrecht.

    Chapter  Google Scholar 

  • Mousseau, V., Figueira, J., & Naux, J.-P. (2001). Using assignment examples to infer weights for ELECTRE TRI method: Some experimental results. European Journal of Operational Research, 130, 263–275.

    Article  Google Scholar 

  • Mousseau, V., & Slowinski, R. (1998). Inferring an ELECTRE TRI model from assignment examples. Journal of Global Optimization, 12, 157–174.

    Article  Google Scholar 

  • Mukherjee, P. N. (2006). Total quality management. India: Prentice Hall.

    Google Scholar 

  • Mukhopadhyaya, A. K. (2003). Value engineering: Concepts, techniques and applications. New Delhi: Response.

    Google Scholar 

  • Nadler, G. (1981). The planning and design approach. Chichester: Wiley.

    Google Scholar 

  • Nadler, G., & Hibino, S. (1998). Breakthrough thinking: Seven principles of creative problem solving. California: Prima Publishing.

    Google Scholar 

  • Ngo The, A., & Mousseau, V. (2002). Using assignment examples to infer category limits for the ELECTRE TRI method. Journal of Multi-Criteria Decision Analysis, 11, 29–43.

    Article  Google Scholar 

  • Nitzan, S., & Rubinstein, A. (1981). A further characterization of Borda ranking method. Public choice, 36, 153–158.

    Article  Google Scholar 

  • Olson, D. L., & Dorai, V. K. (1992). Implementation of the centroid method of Solymosi and Dombi. European Journal of Operational Research, 60, 117–129.

    Article  Google Scholar 

  • Oral, M., & Kettani, O. (1993). The facets of the modeling and validation process in operations research. European Journal of Operational Research, 66, 216–234.

    Article  Google Scholar 

  • Ott, E. R., Schilling, E. G., & Neubauer, D. V. (2000). Process quality control: Troubleshooting and interpretation of data. New York: McGraw Hill.

    Google Scholar 

  • Ouenniche, J., Xu, B., & Tone, K. (2014a). Forecasting models evaluation using a slacks-based context-dependent DEA framework. Journal of Applied Business Research, 30, 1477–1484.

    Google Scholar 

  • Ouenniche, J., Xu, B., & Tone, K. (2014b). Relative performance evaluation of competing crude oil prices’ volatility forecasting models: A slacks-based super-efficiency DEA model. American Journal of Operations Research, 4, 235–245.

    Article  Google Scholar 

  • Perny, P., & Roy, B. (1992). The use of fuzzy outranking relations in preference modelling. Fuzzy Sets and Systems, 49, 33–53.

    Article  Google Scholar 

  • Pictet, J., & Bollinger, D. (2008). Extended use of the cards procedure as a simple elicitation technique for MAVT. Application to public procurement in Switzerland. European Journal of Operational Research, 185, 1300–1307.

    Article  Google Scholar 

  • Pirlot, M. (1995). A characterisation of ‘min’ as a procedure for exploiting valued preference relations and related results. Journal of Multi-Criteria Decision Analysis, 4, 37–56.

    Article  Google Scholar 

  • Pirlot, M. (1997). A common framework for describing some outranking procedures. Journal of Multi-Criteria Decision Analysis, 6, 86–93.

    Article  Google Scholar 

  • Pöyhönen, M., & Hämäläinen, R. P. (1998). Notes on the weighting biases in value trees. Journal of Behavioral Decision Making, 11, 139–150.

    Article  Google Scholar 

  • Pöyhönen, M., & Hämäläinen, R. P. (2001). On the convergence of multiattribute weighting methods. European Journal of Operational Research, 129, 569–585.

    Article  Google Scholar 

  • Proctor, T. (2005). Creative problem solving for managers: Developing skills for decision-making and innovation. London: Routledge.

    Google Scholar 

  • Raiffa, H. (1969). Preference for multi-attributed alternatives. RAND Memorandum, RM-5868-DOT/RC, Santa Monica.

    Google Scholar 

  • Raiffa, H. (1970). Decision analysis: Introductory lectures on choices under uncertainty. Reading: Addison Wesley.

    Google Scholar 

  • Ramakrishna, H. V., & Brightman, H. J. (1986). The fact-net model: A problem diagnosis procedure. Interfaces, 16, 86–94.

    Article  Google Scholar 

  • Regenwetter, M., & Grofman, B. (1998). Approval voting, Borda winners and Condorcet winners: Evidence from seven elections. Management Science, 44, 520–533.

    Article  Google Scholar 

  • Roberts, K. W. S. (1980). Interpersonal comparability and social choice theory. Review of Economic Studies, 47, 421–439.

    Article  Google Scholar 

  • Rocha, C. J. (2007). Essentials of social work policy practice. New Jersey: Wiley.

    Google Scholar 

  • Rogers, M., & Bruen, M. (1998a). Choosing realistic values of indifference, preference and veto thresholds for use with environmental criteria within ELECTRE. European Journal of Operational Research, 107, 542–551.

    Article  Google Scholar 

  • Rogers, M., & Bruen, M. (1998b). A new system for weighting environmental criteria for use within ELECTRE III. European Journal of Operational Research, 107, 552–563.

    Article  Google Scholar 

  • Roy, B. (1968). Classement et choix en présence de points de vue multiples. La méthode ELECTRE. R.I.R.O, 8, 57–75.

    Google Scholar 

  • Roy, B. (1969). Algèbre Moderne et Théorie des Graphes Orientées vers les Sciences Economiques et Sociales (Vol. 1). Paris: Dunod.

    Google Scholar 

  • Roy, B. (1970). Algèbre Moderne et Théorie des Graphes Orientées vers les Sciences Economiques et Sociales (Vol. 2). Paris: Dunod.

    Google Scholar 

  • Roy, B. (1977). Partial preference analysis and decision aid: The fuzzy outranking relation concept. In D. E. Bell, R. L. Keeney, & H. Raiffa (Eds.), Conflicting objectives in decisions (pp. 40–75). Wiley: New York.

    Google Scholar 

  • Roy, B. (1978). ELECTRE III: Un algorithme de classements fondé sur une représentation floue des préférences en présence de critères multiples. Cahiers du CERO, 20, 3–24.

    Google Scholar 

  • Roy, B. (1985). Méthodologie Multicritère d’aide à la Décision. Paris: Economica.

    Google Scholar 

  • Roy, B. (1990). The outranking approach and the foundations of ELECTRE methods. In: C. A. Bana e Costa (Ed.), Reading in multiple criteria decision aid (pp. 155–183). Berlin: Springer.

    Google Scholar 

  • Roy, B. (1991). The outranking approach and the foundations of ELECTRE methods. Theory and Decision, 31, 49–73.

    Article  Google Scholar 

  • Roy, B. (1996). Multicriteria methodology for decision aiding. Nonconvex optimization and its applications. Dordrecht: Kluwer Academic Publishers.

    Book  Google Scholar 

  • Roy, B., & Bertier, P. (1973). La methode ELECTRE II: Une méthode au media-planning. In M. Ross (Ed.), Operational research 1972 (pp. 291–302). North-Holland: Amsterdam.

    Google Scholar 

  • Roy, B., Present, M., & Silhol, D. (1986). A programming method for determining which Paris metro stations should be renovated. European Journal of Operational Research, 24, 318–334.

    Article  Google Scholar 

  • Roy, B., & Skalka, J. (1984). ELECTRE IS: Aspects méthodologiques et guide d’utilisation. Document du LAMSADE 30. Université Paris Dauphine.

    Google Scholar 

  • Roy, B., & Vincke, P. (1984). Relational systems of preference with one or more pseudo criteria: Some new concepts and results. Management Science, 30, 1323–1335.

    Article  Google Scholar 

  • Roy, B., & Vincke, P. (1987). Pseudo-orders: Definition, properties and numerical representation. Mathematical Social Sciences, 14, 263–274.

    Article  Google Scholar 

  • Shapiro, S. S., & Wilk, M. B. (1965). An analysis of variance test for normality (complete samples). Biometrika, 52, 591–611.

    Article  Google Scholar 

  • Siegel, S., & Tukey, J. W. (1960). A nonparametric sum of ranks procedure for relative spread in unpaired samples. Journal of the American Statistical Association, 55, 429–445.

    Article  Google Scholar 

  • Simon, P., Hillson, D., & Newland, K. (1997). Project risk analysis and management guide. Norwich: APM Publishing.

    Google Scholar 

  • Simos, J. (1990). L’e’valuation environnementale: un processus cognitif nigocii. These de doctorat. Lausanne: DGF-EPFL.

    Google Scholar 

  • Solymosi, T., & Dombi, J. (1986). A method for determining the weights of criteria: The centralized weights. European Journal of Operational Research, 26, 35–41.

    Article  Google Scholar 

  • Stamatis, D. H. (1997). TQM engineering handbook. New York: Marcel Dekker Inc.

    Google Scholar 

  • Stephens, M. A. (1986). Tests based on regression and correlation. In R. B. D’agostino & M. A. Stephen (Eds.), Goodness-of-fit techniques. New York: Marcel Dekker Inc.

    Google Scholar 

  • Stewart, T. (1992). A critical survey on the status of multiple criteria decision making theory and practice. Omega, 20, 569–586.

    Article  Google Scholar 

  • Tague, N. R. (2005). The quality toolbox. Milwaukee: ASQ Quality Press.

    Google Scholar 

  • Torgerson, W. S. (1958). Theory and methods of scaling. New York: Wiley.

    Google Scholar 

  • Tsoukiàs, A. (2008). From decision theory to decision aiding methodology. European Journal of Operational Research, 187, 138–161.

    Article  Google Scholar 

  • Tsoukiàs, A., & Vincke, P. (1992). A survey on non conventional preference modelling. Ricerca Operativa, 61, 5–49.

    Google Scholar 

  • Tsoukiàs, A., & Vincke, P. (1997). Extended preference structures in MCDA. In J. Climaco (Ed.), Multicriteria analysis (pp. 37–50). Berlin: Springer.

    Chapter  Google Scholar 

  • Tsoukiàs, A., & Vincke, P. (2003). A characterization of pqi interval orders. Discrete Applied Mathematics, 127, 387–397.

    Article  Google Scholar 

  • Van Newenhizen, J. (1992). The Borda method is most likely to respect the Condorcet principle. Economic Theory, 2, 69–83.

    Article  Google Scholar 

  • Vincke, P. (1992). Multicriteria decision-aid. Chichester: Wiley.

    Google Scholar 

  • Vincke, Ph. (2001). Preferences and numbers. In: A. Colorni, M. Paruccini, & B. Roy (Eds.), A-MCDA—Aide Multi Critère à la Décision—Multiple criteria decision aiding (pp. 343–354). Brussels: The European Commission Joint Research Center.

    Google Scholar 

  • Vind, K. (1991). Independent preferences. Journal of Mathematical Economics, 20, 119–111.

    Article  Google Scholar 

  • Virine, L., & Trumper, M. (2008). Project decisions: The art and science. Virginia: Management Concepts.

    Google Scholar 

  • von Winterfeldt, D., & Edwards, W. (1986). Decision analysis and behavioral research. Cambridge: Cambridge University Press.

    Google Scholar 

  • von Winterfeldt, D., & Edwards, W. (2007). Defining a decision analytic structure. In: W. Edwards, R. F. Miles, & D. von Winterfeldt (Eds.), Advances in decision analysis (pp. 81–103). Cambridge: Cambridge University Press.

    Google Scholar 

  • von Winterfeldt, D., & Fasolo, B. (2009). Structuring decision problems: A case study and reflections for practitioners. European Journal of Operational Research, 199, 857–866.

    Article  Google Scholar 

  • Wasserman, S., & Faust, K. (1994). Social network analysis: Methods and applications. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Weber, M., & Borcherding, K. (1993). Behavioral influences on weight judgments in multiattribute decision making. European Journal of Operational Research, 67, 1–12.

    Article  Google Scholar 

  • Williamson, D. (2004). Strategic management and business analysis. Boston: Elsevier, Butterworth-Heineman.

    Google Scholar 

  • Xu, B., & Ouenniche, J. (2011). A multidimensional framework for performance evaluation of forecasting models: Context dependent DEA. Applied Financial Economics, 21, 1873–1890.

    Article  Google Scholar 

  • Xu, B., & Ouenniche, J. (2012a). Performance evaluation of competing forecasting models: A multidimensional framework based on MCDA. Expert Systems with Applications, 39, 8312–8324.

    Article  Google Scholar 

  • Xu, B., & Ouenniche, J. (2012b). A data envelopment analysis-based framework for the relative performance evaluation of competing crude oil prices’ volatility forecasting models. Energy Economics, 34, 576–583.

    Article  Google Scholar 

  • Younker, D. L. (2003). Value engineering: Analysis and methodology. New York: Marcel Dekker Inc.

    Book  Google Scholar 

  • Yu, W. (1992a). ELECTRE TRI: Aspects me thodologiques et manuel d’utilisation. Document du LAMSADE n074. Universite Paris-Dauphine.

    Google Scholar 

  • Yu, W. (1992b). Aide multicrit`re a la de cision dans le cadre de la proble matique du tri: Concepts, me thodes et applications. PhD dissertation. Universite Paris-Dauphine.

    Google Scholar 

  • Zopounidis, C., & Doumpos, M. (2000). Building additive utilities for multi-group hierarchical discrimination: The M.H.DIS method. Optimization Methods and Software, 14, 219–240.

    Article  Google Scholar 

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Acknowledgements

Prof. Perez-Gladish would like to thank the Spanish Ministry of Education, Culture and Sport for its financial support within the framework of its International Mobility Program for senior researchers “Salvador de Madariaga” (PRX16-0169).

We gratefully acknowledge the EPSRC for funding this work through its financial support of the ``Low carbon jet fuel through integration of novel technologies for co-valorisation of CO2 and biomass'' (EPSRC Reference: EP/N009924/1). The standard disclaimer applies.

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Correspondence to Blanca Pérez-Gladish .

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Appendix

Appendix

Table 1 Unidimensional rankings of competing forecasting models
Table 2 ELECTRE III ranking of competing forecasting models. Weight vector (50,30,20)
Table 3 PROMETHEE I ranking of competing forecasting models. Weight vector (50,30,20)
Table 4 PROMETHEE II ranking of competing forecasting models. Weight vector (50,30,20)

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Ouenniche, J., Xu, B., Pérez-Gladish, B. (2018). A DSS for Designing an MCDA Study with Application in Performance Evaluation of Forecasting Models. In: Masri, H., Pérez-Gladish, B., Zopounidis, C. (eds) Financial Decision Aid Using Multiple Criteria. Multiple Criteria Decision Making. Springer, Cham. https://doi.org/10.1007/978-3-319-68876-3_2

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