Messanae Universitas Studiorum

Optimal boundaries for decisions

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
    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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