  We derive computational formulas for the generalized Choquet integral based
on the novel survival function introduced by M. Boczek et al. [1]. We
demonstrate its usefulness on the Knapsack problem and the problem of
accommodation options. Moreover, we describe sufficient and necessary
conditions under which novel survival functions based on different parameters
coincide. This is closely related to the incomparability of input vectors
(alternatives) in decision-making processes.
