Loss function: Difference between revisions

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|series= Lecture Notes in Economics and Mathematical Systems |volume=510
|publisher=Springer |___location=Berlin|isbn= 978-3-540-42669-1 |doi= 10.1007/978-3-642-56038-5 }}</ref>
In particular, [[Andranik Tangian]] showed that the most usable objective functions — quadratic and additive — are determined by a few [[Principle of indifference|indifference]] points. He used this property in the models for constructing these objective functions from either [[ordinal utility|ordinal]] or [[cardinal utility|cardinal]] data that were elicited through computer-assisted interviews with decision makers.<ref name="Tangian2002">{{Cite journal|last=Tangian |first=Andranik |year=2002|title= Constructing a quasi-concave quadratic objective function from interviewing a decision maker|journal= European Journal of Operational Research |volume=141 |issue=3 |pages=608–640 |doi=10.1016/S0377-2217(01)00185-0 |s2cid= 39623350 }}</ref><ref name="Tangian2004additiveUtility">{{Cite journal|last=Tangian |first=Andranik |year=2004|title= A model for ordinally constructing additive objective functions|journal= European Journal of Operational Research |volume=159 |issue=2 |pages=476–512|doi = 10.1016/S0377-2217(03)00413-2 | s2cid= 31019036 }}</ref>
Among other things, he constructed objective functions to optimally distribute budgets for 16 Westfalian universities<ref name="Tangian2004universityBudgets">{{Cite journal |last=Tangian |first=Andranik |year=2004 |title= Redistribution of university budgets with respect to the status quo |journal= European Journal of Operational Research |volume=157 |issue=2 |pages=409–428|doi = 10.1016/S0377-2217(03)00271-6 }}</ref>
and the European subsidies for equalizing unemployment rates among 271 German regions.<ref name="Tangian2008RegionalEnemployment">{{Cite journal|last=Tangian |first=Andranik |year=2008