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Limiting Solution Set Structure for Converging Multiple Objective Dynamic Problems Sequence

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Multiple Criteria Decision Making

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 448))

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Abstract

For a given dynamic multiple objective problem a special family of dynamic multiple objective problems is constructed. For this family there is constructed the infinite intersection of the sets of all right ends of the quasimotions, generated from some initial position if all the Slatermaximal strategies for each problem are examined. It is shown that this intersection (or the limiting set) coincides with the set of all right ends of the quasimotions generated from the fixed initial position if all the Slater-maximal strategies of the special problem are examined.

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© 1997 Springer-Verlag Berlin Heidelberg

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Topchishvili, A.L. (1997). Limiting Solution Set Structure for Converging Multiple Objective Dynamic Problems Sequence. In: Fandel, G., Gal, T. (eds) Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59132-7_12

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  • DOI: https://doi.org/10.1007/978-3-642-59132-7_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62097-6

  • Online ISBN: 978-3-642-59132-7

  • eBook Packages: Springer Book Archive

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