Quasi-metrics on the function spaces $L_{p}(0 le p le infty)$ for a fuzzy measure (The structure of function spaces and its environment)

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  • Quasi-metrics on the function spaces Lp(0 ≤ p ≤ ∞) for a fuzzy measure

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We introduce the function spaces L_{p}(0 leq pleq infty) and the natural quasimetrics on them based on the Sugeno integral for a fuzzy neasure. It is proved that for every 0<p, q<infty, L_{p}=L_{q} holds.

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  • RIMS Kokyuroku

    RIMS Kokyuroku 2041 199-208, 2017-07

    京都大学数理解析研究所

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