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Centrality as a gradual notion: A new bridge between fuzzy sets and statistics

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العنوان: Centrality as a gradual notion: A new bridge between fuzzy sets and statistics
المؤلفون: Terán, Pedro1 teranpedro@uniovi.es
المصدر: International Journal of Approximate Reasoning. Dec2011, Vol. 52 Issue 9, p1243-1256. 14p.
مصطلحات موضوعية: *FUZZY sets, *DISTRIBUTION (Probability theory), *LORENZ curve, *CHOQUET theory, *MEDIAN (Mathematics), *MATHEMATICAL models
مستخلص: Abstract: This paper aims at formalizing the intuitive idea that some points are more central in a probability distribution than others. Our proposal relies on fuzzy events to define a fuzzy set of central points for a distribution (or a family of distributions, including imprecise probability models). This framework has a natural interpretation in terms of fuzzy logic and unifies many known notions from statistics, including the mean, median and mode, interquantile intervals, the Lorenz curve, the halfspace median, the zonoid and lift zonoid, the coverage function and several expectations and medians of random sets, and the Choquet integral against an infinitely alternating or infinitely monotone capacity. [Copyright &y& Elsevier]
قاعدة البيانات: Academic Search Index
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