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OWA operators with maximal entropy

Péter Majlender, OWA operators with maximal entropy. In: Proceedings of the International Symposium of Hungarian Researchers on Computational Intelligence, 141-151, 2000.

Abstract:

One important issue in the theory of Ordered Weighted Averaging (OWA) operators is the determination of the associated weights. One of the first approaches, suggested by O'Hagan, determines a special class of OWA operators having maximal Shannon entropy of the OWA weights for a given level of {\em orness}; algorithmically it is based on the solution of a constrained optimization problem. In this paper, using the method of Lagrange multipliers, we shall solve this constrained optimization problem analytically, and then we shall solve the problems when the entropy is the <EM>Rényi's entropy</EM> (with parameter value 2), the <EM>entropy of order beta</EM> introduced by Daróczy (when parameter beta is 2) and the 2-norm entropy (from entropy class <EM>R-norm entropies</EM>).

BibTeX entry:

@INPROCEEDINGS{pMajlender00a,
  title = {OWA operators with maximal entropy},
  booktitle = {Proceedings of the International Symposium of Hungarian Researchers on Computational Intelligence},
  author = {Majlender, Péter},
  pages = {141-151},
  year = {2000},
}

Belongs to TUCS Research Unit(s): Other

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