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Zuanon, Magali Ernestine - One of the best experts on this subject based on the ideXlab platform.

  • A selection of maximal elements under non-transitive indifferences
    'Elsevier BV', 2010
    Co-Authors: J. R. C. Alcantud, G. Bosi, Zuanon, Magali Ernestine
    Abstract:

    In this work we are concerned with maximality issues under intransitivity of the indifference. Our approach relies on the analysis of ‘‘undominated maximals’’ (cf., Peris & Subiza, 2002). Provided that an agent’s binary relation is acyclic, this is a selection of its maximal elements that can always be done when the set of alternatives is finite. In the case of semiorders, proceeding in this way is the same as using Luce’s selected maximals. We present a sufficient condition for the existence of undominated maximals for interval orders without any Cardinality Restriction. Its application to certain types of continuous semiorders is very intuitive and accommodates the well-known ‘‘sugar example’’ by Luce

Zuanon Magalì - One of the best experts on this subject based on the ideXlab platform.

  • A selection of maximal elements under non-transitive indifferences
    2009
    Co-Authors: Alcantud, José Carlos R., Bosi Gianni, Zuanon Magalì
    Abstract:

    In this work we are concerned with maximality issues under intransitivity of the indifference. Our approach relies on the analysis of "undominated maximals" (cf., Peris and Subiza, J Math Psychology 2002). Provided that an agent's binary relation is acyclic, this is a selection of its maximal elements that can always be done when the set of alternatives is finite. In the case of semiorders, proceeding in this way is the same as using Luce's selected maximals. We put forward a sufficient condition for the existence of undominated maximals for interval orders without any Cardinality Restriction. Its application to certain type of continuous semiorders is very intuitive and accommodates the well-known "sugar example" by Luce

Zhibin Deng - One of the best experts on this subject based on the ideXlab platform.

  • An extended model for project portfolio selection with project divisibility and interdependency
    Journal of Systems Science and Systems Engineering, 2015
    Co-Authors: Shu-cherng Fang, Xiaoling Guo, Zhibin Deng
    Abstract:

    In this paper, we develop an extended model for the project portfolio selection problem over a planning horizon with multiple time periods. The model incorporates the factors of project divisibility and interdependency at the same time for real-life applications. The project divisibility is considered as a strategy, not an unfortunate event as in the literature, in choosing the best execution schedule for the projects, and the classical concept of “project interdependencies” among fully executed projects is then extended to the portions of executed projects. Additional constraints of reinvestment consideration, setup cost, Cardinality Restriction, precedence relationship and scheduling are also included in the model. For efficient computations, an equivalent mixed integer linear programming representation of the proposed model is derived. Numerical examples under four scenarios are presented to highlight the characteristics of the proposed model. In particular, the positive effects of project divisibility are shown for the first time.

P. O. Box - One of the best experts on this subject based on the ideXlab platform.

J. R. C. Alcantud - One of the best experts on this subject based on the ideXlab platform.

  • A selection of maximal elements under non-transitive indifferences
    'Elsevier BV', 2010
    Co-Authors: J. R. C. Alcantud, G. Bosi, Zuanon, Magali Ernestine
    Abstract:

    In this work we are concerned with maximality issues under intransitivity of the indifference. Our approach relies on the analysis of ‘‘undominated maximals’’ (cf., Peris & Subiza, 2002). Provided that an agent’s binary relation is acyclic, this is a selection of its maximal elements that can always be done when the set of alternatives is finite. In the case of semiorders, proceeding in this way is the same as using Luce’s selected maximals. We present a sufficient condition for the existence of undominated maximals for interval orders without any Cardinality Restriction. Its application to certain types of continuous semiorders is very intuitive and accommodates the well-known ‘‘sugar example’’ by Luce