Carfì, David (2008) *Optimal boundaries for decisions.* Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze FF.MM.NN, LXXXVI (1). ISSN 1825-1242

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## Abstract

In this paper we state and prove some new results on the optimal boundaries. These boundaries (called Pareto boundaries too) are of increasing importance in the applications to Decision Theory. First of all the Pareto boundaries are the first and most important generalization of the concept of optimum; on the other hand, if f is a real functional defined on a non empty set X and K is a part of X, the determination of the optimal boundaries of the part K with respect to some preorder ? of X for which f is strictly increasing permits to reduce the optimization problem (f, K, inf) (or (f, K, sup)) to the problem (f, minP(K), inf) (resp. (f, maxP(K), sup)), where by minP(K) we denoted the minimal boundary of K (that in general is greatly smoller than K).

Item Type: | Article |
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Subjects: | M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali |

Divisions: | UNSPECIFIED |

Depositing User: | Mr Nunzio Femminò |

Date Deposited: | 03 Mar 2008 |

Last Modified: | 13 Apr 2010 13:16 |

URI: | http://cab.unime.it/mus/id/eprint/476 |

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