Pointwise construction of Lipschitz aggregation operators
Beliakov, Gleb, Calvo, Tomasa and Lazaro, Jesus 2006, Pointwise construction of Lipschitz aggregation operators, in Proceedings of the 11th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, Editions EDK, Paris, France, pp. 595-602.
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This paper establishes tight upper and lower bounds on Lipschitz aggregation operators considering their diagonal, opposite diagonal and marginal sections. Also we provide explicit formulae to determine the bounds. These are useful for construction of these type of aggregation operators, especially using interpolation schemata.
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