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Pareto Set Reduction Based on Collections of Information Quanta

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Reduction of the Pareto Set

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 126))

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Abstract

Here we further develop the results of the previous chapter on Pareto set reduction using given finite collections of mutually dependent information quanta about the DM’s preference relation.

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Notes

  1. 1.

    The dimension of a cone coincides with the dimension of the minimal subspace containing it.

  2. 2.

    A generator (edge) of a polyhedral cone is a vector of the cone that is not representable in the form of a positive linear combination of two other vectors belonging to this cone (see Subcection 2.1.2). All edges form the minimal system of vectors generating a given cone.

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Correspondence to Vladimir D. Noghin .

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Noghin, V.D. (2018). Pareto Set Reduction Based on Collections of Information Quanta. In: Reduction of the Pareto Set. Studies in Systems, Decision and Control, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-319-67873-3_5

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  • DOI: https://doi.org/10.1007/978-3-319-67873-3_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67872-6

  • Online ISBN: 978-3-319-67873-3

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