Abstract
We indicate that the problem of prioritized criteria arises in situations in which there exists a relationship between the criteria so that lack of satisfaction by the higher priority criteria cannot be readily compensated for by satisfaction by lower priority criteria. Typical of this situation is the relationship between safety and cost. We consider the problem of criteria aggregation in this environment. Central to our approach is the use of importance weights to enforce this prioritization imperative. We apply our use of priority based importance weights to the case where the scope of the criteria aggregation is an OWA type aggregation.
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References
Chiclana, F., Herrera, F., & Herrera-Viedma, E. (2000). The ordered weighted geometric operator: properties and applications. In Proceedings of the 8th International Conference on Information Processing and Management of Uncertainty in Knowledge-based systems (pp. 985–991). Madrid.
Herrera F., Herrera-Viedma E., Chiclana F. (2003) A study of the origins and uses of the ordered weighted geometric operator in multicriteria decision making. International Journal of Intelligent Systems 18: 689–707
Kacprzyk J., Zadrozny S. (1997) Implementation of OWA operators in fuzzy querying for Microsoft Access. In: Yager R.R., Kacprzyk J. (eds) The ordered averaging operators: Theory and applications. Kluwer, Boston, pp 293–306
Mesiar R., Mesiarová A. (2008) Fuzzy integrals—what are they?. International Journal of Intelligent Systems 23: 199–212
Mitchell H.B., Schaefer P.A. (2000) Multiple priorities in an induced ordered weighted averaging operator. International Journal of Intelligent Systems 15: 317–328
O’Hagan, M. (1988). Aggregating template or rule antecedents in real-time expert systems with fuzzy set logic. In Proceedings of the 22nd Annual IEEE Asilomar Conference on Signals, Systems and Computers (pp. 681–689). Pacific Grove, CA.
O’Hagan, M. (1990). Using maximum entropy-ordered weighted averaging to construct a fuzzy neuron. In Proceedings of the 24th Annual IEEE Asilomar Conference on Signals, Systems and Computers (pp. 618–623). Pacific Grove, CA.
Sugeno M. (1977) Fuzzy measures and fuzzy integrals: A survey. In: Gupta M.M., Saridis G.N., Gaines B.R. (eds) Fuzzy automata and decision process. North-Holland, Amsterdam, pp 89–102
Torra V. (1997) The weighted OWA operator. International Journal of Intelligent Systems 12: 153–166
Torra V., Narukawa Y. (2007) Modeling decisions: Information fusion and aggregation operators. Springer, Berlin
Xu Z.S., Da Q.L. (2002) The ordered weighted geometric averaging operator. International Journal of Intelligent Systems 17: 709–716
Yager R.R. (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems, Man and Cybernetics 18: 183–190
Yager R.R. (1992) Applications and extensions of OWA aggregations. International Journal of Man-Machine Studies 37: 103–132
Yager R.R. (1993) Families of OWA operators. Fuzzy Sets and Systems 59: 125–148
Yager R.R. (1996) Quantifier guided aggregation using OWA operators. International Journal of Intelligent Systems 11: 49–73
Yager R.R. (1997) On the inclusion of importances in OWA aggregations. In: Yager R.R., Kacprzyk J. (eds) The ordered weighted averaging operators: Theory and applications. Kluwer, Norwell, MA, pp 41–59
Yager R.R. (2008) Prioritized aggregation operators. International Journal of Approximate Reasoning 48: 263–274
Yager R.R., Kacprzyk J. (1997) The ordered weighted averaging operators: Theory and applications. Kluwer, Norwell, MA
Yager, R. R., Reformat, M., & Ly, C. (2008). Using a web PET for lexicographic multi-criteria service selection. Technical Report# MII-2807. New Rochelle, NY: Machine Intelligence Institute, Iona College.
Yager, R. R., Reformat, M., & Ly, C. (2008). Web PET: An on-line tool for lexicographically choosing purchases by combining user preferences and customer reviews. Technical Report# MII-2818. New Rochelle, NY: Machine Intelligence Institute, Iona College.
Zadeh L.A. (1983) A computational approach to fuzzy quantifiers in natural languages. Computing and Mathematics with Applications 9: 149–184
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Yager, R.R. Prioritized OWA aggregation. Fuzzy Optim Decis Making 8, 245–262 (2009). https://doi.org/10.1007/s10700-009-9063-4
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DOI: https://doi.org/10.1007/s10700-009-9063-4