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Approximate efficiency in infinite dimensional ordered vector spaces

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  • Vasile Postolica

Abstract

The research paper is focused on a new concept of efficiency and to its immediate links with optimisation. This most general concept of approximate efficiency generalises the usual concept of efficiency in ordered vector spaces, so it has also significant implications in applied management science. As a main argument in this direction, we present our recent coincidence result between the approximate efficient points sets and a special kind of Choquet boundaries. In this way, the efficiency is connected with Potential Theory, its applications and conversely.

Suggested Citation

  • Vasile Postolica, 2009. "Approximate efficiency in infinite dimensional ordered vector spaces," International Journal of Applied Management Science, Inderscience Enterprises Ltd, vol. 1(3), pages 300-314.
  • Handle: RePEc:ids:injams:v:1:y:2009:i:3:p:300-314
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    References listed on IDEAS

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    1. Halkos, George & Salamouris, Dimitrios, 2001. "Efficiency Measures of the Greek Banking Sector: A Non-Parametric Approach for the Period 1997-1999," MPRA Paper 2858, University Library of Munich, Germany.
    2. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
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