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
Notes on properties of the OWA weights determination model
Computers and Industrial Engineering
On the equivalence of some approaches to the OWA operator and RIM quantifier determination
Fuzzy Sets and Systems
On the maximum entropy parameterized interval approximation of fuzzy numbers
Fuzzy Sets and Systems
Improving minimax disparity model to determine the OWA operator weights
Information Sciences: an International Journal
On proving the extended minimax disparity OWA problem
Fuzzy Sets and Systems
The relationship between the minimum-variance and minimax disparity RIM quantifier problems
Fuzzy Sets and Systems
Induced ordered weighted averaging operators
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
OWA aggregation over a continuous interval argument with applications to decision making
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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Liu and Lou [Fuzzy Sets and Systems 159 (2007) 1673-1688] investigated the equivalence of solutions to the maximum entropy and minimax ratio RIM quantifier problems. The paper improves Liu and Lou's theorems from a mathematical perspective. Because their theorems are not suitable for absolutely continuous generating functions, the paper provides a correct proof of the minimax ratio RIM quantifier problem for the case in which generating functions are absolutely continuous and a generalized solution to the maximum entropy RIM quantifier problem for the case in which generating functions are Lebesgue integrable. Based on the results, the paper provides a correct relationship between the maximum entropy and minimax ratio RIM quantifier problems.