Journal
FUZZY SETS AND SYSTEMS
Volume 124, Issue 1, Pages 53-57Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0165-0114(01)00007-0
Keywords
OWA operator; dispersion; degree of orness
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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 entropy of the OWA weights for a given level of 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 derive a polynomial equation which is then solved to determine the optimal weighting vector. (C) 2001 Elsevier Science B.V. All rights reserved.
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