Abid, Zouhir Semi-valuation et métrique associée. (Semi-valuation and associated metric). (French) Zbl 0571.06007 Math. Sci. Hum. 87, 67-82 (1984). We start by defining semi-valuations and some related concepts such as intervaluation and H-independence which have several applications in practice. We can, by choosing adequate cases of semi-valuations identify intervaluations either by interclass inertia or by information between subsystems. As for H-independence we can identify it by set independence or vector independence or stochastic independence... We thoroughly study a particular case of semi-valuation: conditional semi-valuation. We demonstrate that it has the metric properties of an upper valuation. MSC: 06A12 Semilattices 06A06 Partial orders, general 62H30 Classification and discrimination; cluster analysis (statistical aspects) 62H25 Factor analysis and principal components; correspondence analysis Keywords:semi-valuations; intervaluation; H-independence; stochastic independence; conditional semi-valuation PDFBibTeX XMLCite \textit{Z. Abid}, Math. Sci. Hum. 87, 67--82 (1984; Zbl 0571.06007) Full Text: Numdam EuDML