Random generation of k-interactive capacities Beliakov, Gleb Cabrerizo Lorite, Francisco Javier Herrera-Viedma, Enrique Wu, Jian-Zhang Capacity Random simulation k-order capacity Linear extension The theory of capacities provides powerful formal methodology to account for criteria dependencies in multiple criteria decision problems. The discrete Choquet and Sugeno integrals aggregate criteria valuations accounting for criteria synergies and redundancies. We address an important problem of randomly generating capacities of special classes for simulation studies and for capacity learning through evolutionary algorithms. We discuss two efficient methods suitable for k-interactive capacities. The results are supported by the extensive numerical evidence and provide a useful tool for large scale simulations 2025-01-22T09:35:22Z 2025-01-22T09:35:22Z 2022-02 journal article G. Beliakov, F.J. Cabrerizo, E. Herrera-Viedma, J.-Z. Wu. Random generation of k-interactive capacities. Fuzzy Sets and Systems 430 (2022) 48-55 https://hdl.handle.net/10481/99932 10.1016/j.fss.2020.12.010 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional