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
On weighted possibilistic mean and variance of fuzzy numbers
Fuzzy Sets and Systems - Theme: Basic concepts
A minimax disparity approach for obtaining OWA operator weights
Information Sciences: an International Journal
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
Induced ordered weighted averaging operators
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Parameterized approximation of fuzzy number with minimum variance weighting functions
Mathematical and Computer Modelling: An International Journal
The relationship between the maximum entropy and minimax ratio RIM quantifier problems
Fuzzy Sets and Systems
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Recently, Liu and Lou [On the equivalence of some approaches to the OWA operator and RIM quantifier determination, Fuzzy Sets and Systems 159 (2007) 1673-1688] investigated the equivalence of solutions to the minimum-variance and minimax disparity RIM quantifier problems. However, their proofs are very sensitive to the assumption, and some are mathematically incomplete. In this regard, this paper provides a counterexample of the minimax disparity RIM quantifier problem for the case in which generating functions are continuous. The paper also provides a correct proof of the minimax disparity RIM quantifier problem for the case in which generating functions are absolutely continuous and a generalized result for the minimum-variance 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 minimum-variance and minimax disparity RIM quantifier problems.