A Sugeno integral representation under Stone condition

The aim of this paper is to present a representation theorem of the Sugeno integral with minimal requirements on the domain of the functional. Using Stone condition it parallels earlier derivations of Choquet integral performed by Greco (Proc. Rend. Sem. Mat. Univ. 66 (1982) 21) and Denneberg (Non-additive Measure and Integral, Kluwer Academic Publishers, Dordrecht, 1994).