On t-normed integrals with respect to possibility capacities on compacta

Abstract

Riesz Theorem establishes a correspondence between the set of $\sigma$-additive regular Borel measures and the set of linear positively defined functionals. We consider an idempotent analogue of this correspondence between possibility capacities and functionals preserving the maximum operation and t-norm operation using t-normed integrals.

arXiv admin note: text overlap with arXiv:2105.11138, arXiv:1910.11403