Journal
FUZZY SETS AND SYSTEMS
Volume 240, Issue -, Pages 103-116Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2013.08.007
Keywords
OWA operator; Operator weights; Degree of orness; Least square deviation
Funding
- National Science Foundation of China (NSFC) [71171048, 71371049]
- Ph.D. Program Foundation of Chinese Ministry of Education [20120092110038]
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An important issue in the theory of ordered weighted averaging (OWA) operators is the determination of the associated weights. One important approach, suggested by Wang, Luo and Liu in 2007 determines a special class of OWA operators with the least square deviation (LSD) of OWA weights for a given orness level. In this paper, using the method of Lagrange multipliers, we solve this constrained optimization problem analytically, and derive a polynomial equation to determine the optimal weighting vector. Numerical examples illustrate our proposed approach. (c) 2013 Elsevier B.V. All rights reserved.
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