Abstract
A multiattribute utility function can be represented by a function of single-attribute utility functions if the decision maker’s preference satisfies additive independence or mutually utility independence. Additive independence is a preference condition stronger than mutually utility independence, and the multiattribute utility function is in the additive form if the former condition is satisfied, otherwise it is in the multiplicative form. In this paper, we propose a method for sensitivity analysis of multiattribute utility functions in multiplicative form, taking into account the imprecision of the decision maker’s judgment in the procedures for determining scaling constants (attribute weights).
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Bana e Costa CA (1988) A methodology for sensitivity analysis in three-criteria problems: a case study in municipal management. Eur J Oper Res 33: 159–173
Barron H, Schmidt CP (1988) Sensitivity analysis of additive multiattribute value models. Oper Res 36: 122–127
Brans JP, Vincke P (1985) A preference ranking organisation method (The PROMETHEE method for multiple criteria decision making). Manage Sci 31: 647–656
Brans JP, Vincke P, Mareschal B (1986) How to select and how to rank projects: the PROMETHEE method. Eur J Oper Res 24: 228–238
Butler J, Jia J, Dyer J (1997) Simulation techniques for the sensitivity analysis of multi-criteria decision models. Eur J Oper Res 103: 531–546
Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addision Wesley, Massachusetts
Jiménez A, Ríos-Insua S, Mateos A (2003) A decision support system for multiattribute utility evaluation based on imprecise assignment. Decis Support Syst 36: 65–79
Keeney RL, Raiffa H (1976) Decision with multiple objectives: preferences and value tradeoffs. Wiley, New York
Keeney RL, von Winterfeldt D (1994) Managing nuclear waste from power plants. Risk Anal 14: 107–130
Michalewicz Z (1996) Genetic algorithms + data structures = evolution programs, third, revised and extended edition. Springer, Berlin
Nishizaki I, Seo F (1994) Interactive support for fuzzy trade-off evaluation in group decision making. Fuzzy Sets Syst 68: 309–325
Ringuest JL (1997) L P -metric sensitivity analysis for single and multi-attribute decision analysis. Eur J Oper Res 98: 563–570
Sakawa M (2001) Genetic algorithms and fuzzy multiobjective optimization. Kluwer Academic Publishers, Boston
Sakawa M, Seo F (1982) Integrated methodology for computer-aided decision analysis. In: Trappl R, Hanika F, Tomlinson R (eds) Progress in cybernetics and systems research. Hemisphere Publishing, New York, pp 333–341
Seo F, Nishizaki I (1997) On development of interactive decision analysis support systems, presented at the IIASA Workshop on Advances in Methodology and Software for Decision Support Systems, IIASA, Laxenburg, Austria, 1997 (Available from IIASA as Electronic version; http://www.iiasa.ac.at/~marek/dss97/)
Seo F, Nishizaki I, Park S-H (1999) Multiattribute utility analysis using object-oriented programming MAP and its application, Study of business administration and informatics 7. Setsunan University, Try, pp 27–57
Seo F, Nishizaki I, Hamamoto H (2004) Development of an interactive software for supporting multiobjective decision analysis —MIDASS (Multiobjective Interactive Decision Analysis Support System). In: Trappl R (eds) cybernetics and systems research. Austrian Society for Cybernetic Studies, Vienna, pp 475–480
Sicherman A (1975) An interactive computer program for assessing and using multiattribute utility functions, technical report 111. Operations Research Center, MIT
von Nitzsch R, Weber M (1988) Utility function assessment on a micro-computer: an interactive procedure. Ann Oper Res 16: 149–160
Wei QL, Ma J, Fan ZP (2000) A parameter analysis method for the weight-set satisfy preference orders of alternatives in additive multi-criteria value models. J Multi-Criteria Decis Anal 9: 181–190
Wolters WTM, Mareschal B (1995) Novel types of sensitivity analysis for additive MCDM methods. Eur J Oper Res 81: 281–290
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Nishizaki, I., Katagiri, H. & Hayashida, T. Sensitivity analysis incorporating fuzzy evaluation for scaling constants of multiattribute utility functions. Cent Eur J Oper Res 18, 383–396 (2010). https://doi.org/10.1007/s10100-009-0115-1
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DOI: https://doi.org/10.1007/s10100-009-0115-1