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2010 | 5 | 113--120
Tytuł artykułu

Multiple Criteria Decision Making : from Exact to Heuristic Optimization

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We propose to derive assessments of outcomes to Multiple Criteria Decision Making problems, instead of just outcomes, and carry decision making processes with the former. In contrast to earlier works in that direction, which to calculate assessments have made use of subsets of the efficient set (shells), here we provide formulas for calculations of assessments based on the use of upper and lower approximations (upper and lower shells) of the efficient set, derived by evolutionary optimization. Hence, by replacing shells, which are to be in general derived via optimization, with pairs of upper and lower shells, the need of exact optimization methods can be eliminated from Multiple Criteria Decision Making. (original abstract)
Rocznik
Tom
5
Strony
113--120
Opis fizyczny
Bibliografia
  • Geoffrion A.M.: Proper Efficiency in Vector Optimization. J. Appl. Math. Anal., 1968, 22, pp. 618-630.
  • Ehrgott M.: Multicriteria Optimization. Springer, 2005.
  • Kaliszewski I.: Out of the Mist - Towards Decision-maker-friendly Multiple Criteria Decision Making Support. Eur. J. Oper. Res., 2004, 158, pp. 293-307.
  • Kaliszewski I.: Soft Computing for Complex Multiple Criteria Decision Making. Springer, 2006.
  • Kaliszewski I.: Multiple Criteria Decision Making: Outcome Assessments with Lower and Upper Shells. Systems Research Institute Report, RB/9/2008.
  • Miettinen K.M.: Nonlinear Multiobjective Optimization. Kluwer, Boston 1999.
  • Miroforidis J.: Decision Making Aid for Operational Management of Department Stores with Multiple Criteria Optimization and Soft Computing. PhD Thesis, Systems Research Institute, Warsaw, 2010.
  • Wierzbicki A.P.: Reference Point Approaches. In: Multicriteria Decision Making - Advances. In: MCDM: Models, Algorithms, Theory and Applications. Eds. T. Gal, Th. Stewart, Th. Hanne. Kluwer 1999.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
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