| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 390064 | Fuzzy Sets and Systems | 2014 | 14 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Xiuzhi Sang, Xinwang Liu,