English

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

General Topology 2023-02-20 v2

Abstract

Riesz Theorem establishes a correspondence between the set of σ\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.

Keywords

Cite

@article{arxiv.2111.06612,
  title  = {On t-normed integrals with respect to possibility capacities on compacta},
  author = {Taras Radul},
  journal= {arXiv preprint arXiv:2111.06612},
  year   = {2023}
}

Comments

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

R2 v1 2026-06-24T07:36:02.605Z