Interactive specification and analysis of aspiration-based preferences. (English) Zbl 1068.91514

Summary: Model-based Decision Support Systems (DSSs) often use multi-criteria optimization for selecting Pareto-optimal solutions. Such a selection is based on the interactive specification of user preferences. This can be done by a specification of aspiration and reservation levels for criteria. Diverse Graphical User Interfaces (GUIs) can be used for specification of these levels, as well as for the interpretation of results. In the approach presented in this paper, the specified aspiration and reservation levels are used for the generation of component achievement functions for corresponding criteria, which reflect the degree of satisfaction with given values of criteria. This paper outlines the methodological background and modular structure of a tool ISAAP (which is included in MCMA ) for multi-criteria analysis of decision problems that can be represented as Linear Programming (LP) or Mixed Integer Programming (MIP) problems. The MCMA has been used at IIASA for the analysis of decision problems in water quality management and land use for sustainable development planning. These experiences have shown that MCMA tool is applicable also to large LP and MIP problems. Other implementations of the same methodology have also been applied to analysis of nonlinear problems in several engineering applications.


91B06 Decision theory
90B50 Management decision making, including multiple objectives


Full Text: DOI


[2] Brooke, A.; Kendrick, D.; Meeraus, A., GAMS, A User’s Guide, release 2.25 (1992), The Scientific Press: The Scientific Press Redwood City
[3] Charnes, A.; Cooper, W., Management Models and Industrial Applications of Linear Programming (1967), Wiley: Wiley New York · Zbl 0995.90552
[5] Fourer, R.; Gay, D.; Kernighan, B., Using AMPL Plus (1996), Compass Modeling Solutions Inc: Compass Modeling Solutions Inc San Francisco
[6] Gardiner, L.; Steuer, R., Unified interactive multiple objective programming, European Journal of Operational Research, 74, 391-406 (1994) · Zbl 0809.90088
[9] Haimes, Y.; Hall, W., Multiobjectives in water resource systems analysis: The surrogate trade-off method, Water Resources Research, 10, 615-624 (1974)
[11] Isermann, H.; Steuer, R. E., Computational experience concerning payoff tables and minimum criterion values over the efficient set, European Journal of Operational Research, 33, 91-97 (1987) · Zbl 0632.90074
[17] Makowski, M.; Somlyody, L.; Watkins, D., Multiple criteria analysis for water quality management in the Nitra basin, Water Resources Bulletin, 32, 5, 937-951 (1996)
[20] Ogryczak, W.; Lahoda, S., Aspiration/reservation-based decision support – a step beyond goal programming, Journal of Multi-Criteria Decision Analysis, 1, 2, 101-117 (1992) · Zbl 0847.90089
[22] Sawaragi, Y.; Nakayama, H.; Tanino, T., Theory of Multiobjective Optimization (1985), Academic Press: Academic Press New York · Zbl 0566.90053
[23] Steuer, R., Multiple Criteria Optimization: Theory, Computation, and Application (1986), Wiley: Wiley New York · Zbl 0663.90085
[24] Wierzbicki, A., Basic properties of scalarizing functionals for multiobjective optimization, Mathematische Operationsforschung und Statistik Optimization, 8, 55-60 (1977)
[26] Wierzbicki, A., On the completeness and constructiveness of parametric characterizations to vector optimization problems, OR Spektrum, 8, 73-87 (1986) · Zbl 0592.90084
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.