Let X X be a compact metric space and let alttext="v"> v encoding="application/x-tex">v sub-additive ...

The integral representation of Choquet operators defined on a space C(X) is established by using the Choquet-Bochner real-valued function with respect to vector capacity.

In describing one experimental approach to building organisational capacity for navigating complexities, an evocative testimony about the shift discovering a collective capability is embedded in report on sensitive research inquiry – into how sensing and perceptionsshape unfolding patterns of behaviour prescribe or circumscribe action potential. The commentary discusses as tool potential role s...

We study four well-known capacities of a two-parameter family qubit Pauli channels. These are the channels that covariant under $\text{SO}(2)$ group and contain depolarizing channel as special case. find exact expressions for classical capacity entanglement-assisted capacities, analytically determine regions where quantum vanishes. then use flag extension to upper bound private these in entire ...

Genetic variation in growth performance was estimated in 26 families from two commercial strains of Arctic charr Salvelinus alpinus. Physiological determinants of growth and metabolic capacities were also assessed through enzymatic assays. A relatedness coefficient was attributed to each family using parental genotypes at seven microsatellite loci. After 15 months of growth, faster growing fami...

In this paper we deal with the problem of axiomatizing the preference relations modelled through Choquet integral with respect to a k-additive capacity, i.e. whose Möbius transform vanishes for subsets of more than k elements. Thus, k-additive capacities range from probability measures (k = 1) to general capacities (k = n). The axiomatization is done in several steps, starting from symmetric 2-...