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

Taras Radul

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arXiv · 2111.06612

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

Taras Radul

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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.

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Taras Radul. 2021-11-12. On t-normed integrals with respect to possibility capacities on compacta. https://arxiv.org/abs/2111.06612

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