In a decision problem, let a be a feasible alternative from the set of all feasible alternatives A. Each alternative is measured against n attributes (X 1,..., X n). The decision maker's (DM) problem is to choose an a in A that “maximizes” the payoff vector of scores [X 1(a), ..., X n (a)] = Xva. We define a real-valued, scalar function v(·), the value function, as follows. The function has the property that v(Xva) > vv(Xvb) if and only if the DM prefers alternative a to alternative b; and v(Xva) = vv(Xvb) if and only if the DM is indifferent between alternative a and alternative b. The DM's decision problem is now the selection of an alternative that maximizes v(Xv) over all alternatives.
Choice theory; Decision analysis; Multiple criteria decision making; Preference theory; Utility theory.
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© 2001 Kluwer Academic Publishers
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Gass, S.I., Harris, C.M. (2001). Value function . In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_1100
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DOI: https://doi.org/10.1007/1-4020-0611-X_1100
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