On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Fuzzy Sets and Systems
On the issue of obtaining OWA operator weights
Fuzzy Sets and Systems
An analytic approach for obtaining maximal entropy OWA operator weights
Fuzzy Sets and Systems
On obtaining minimal variability OWA operator weights
Fuzzy Sets and Systems - Theme: Multicriteria decision
A minimax disparity approach for obtaining OWA operator weights
Information Sciences: an International Journal
An extended minimax disparity to determine the OWA operator weights
Computers and Industrial Engineering
The solution equivalence of minimax disparity and minimum variance problems for OWA operators
International Journal of Approximate Reasoning
Notes on properties of the OWA weights determination model
Computers and Industrial Engineering
Improving minimax disparity model to determine the OWA operator weights
Information Sciences: an International Journal
Induced ordered weighted averaging operators
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
The relationship between the maximum entropy and minimax ratio RIM quantifier problems
Fuzzy Sets and Systems
| Hi-index | 0.20 |
Determining associated weights in the theory of ordered weighted averaging (OWA) operators is an important issue. Wang and Parkan [Information Sciences 175 (2005) 20-29] proposed a minimax disparity approach for obtaining OWA operator weights, which is based on the solution of a linear program (LP) model for a given degree of orness. Recently, Amin and Emrouznejad [Computers & Industrial Engineering 50 (2006)] proposed an extended minimax disparity model and improved their proposed LP to obtain weights that would be as close as possible. They also left an open problem related to the extended model: For an even number of arguments, there would be an interval for the degree of orness such that the optimal solution of the extended model could be obtained by a compact mathematical form. In this paper, we completely prove this open problem mathematically for all orness levels whatever the number of arguments.