The mean value of a fuzzy number
Fuzzy Sets and Systems - Fuzzy Numbers
On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
The expected value of a fuzzy number
Fuzzy Sets and Systems
Defuzzification: criteria and classification
Fuzzy Sets and Systems
Ranking fuzzy numbers using ω-weighted valuations
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Nearest interval approximation of a fuzzy number
Fuzzy Sets and Systems - Fuzzy intervals
Continuous WOWA operators with application to defuzzification
Aggregation operators
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
Averaging procedures in defuzzification processes
Fuzzy Sets and Systems - Theme: Basic concepts
Ranking fuzzy numbers with preference weighting function expectations
Computers & Mathematics with Applications
On the maximum entropy parameterized interval approximation of fuzzy numbers
Fuzzy Sets and Systems
Median alpha-levels of a fuzzy number
Fuzzy Sets and Systems
Evaluations of fuzzy quantities
Fuzzy Sets and Systems
Trapezoidal approximations of fuzzy numbers
Fuzzy Sets and Systems
Median value and median interval of a fuzzy number
Information Sciences: an International Journal
OWA aggregation over a continuous interval argument with applications to decision making
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Some properties of the weighted OWA operator
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Mathematical and Computer Modelling: An International Journal
Parameterized defuzzification with continuous weighted quasi-arithmetic means - An extension
Information Sciences: an International Journal
The relationship between the minimum-variance and minimax disparity RIM quantifier problems
Fuzzy Sets and Systems
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In the parameterized fuzzy number expectation and fuzzy number interval approximation with the weighting function method, we once considered the weighting function form with maximum entropy, which has some interesting properties. In the present paper, we will propose another kind of parameterized weighting function with minimum variance, and apply it to the fuzzy number expectation and fuzzy number interval approximation problems. It shows that the minimum variance weighting function also has some similar interesting properties, and can be used to express the decision maker's preference information in the fuzzy number defuzzification process.