L1-space for sugeno integral

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Abstract

Let L1(Su) be the L1 space with respect to the Sugeno integral for a fuzzy measure [7, 9]. L1(Su) is a linear space with the natural quasi-metric. In general L1(Su) is not necessarily a topological linear space. We shall characterize explicitely the maximal topological linear subspace of L1(Su).

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Honda, A., & Okazaki, Y. (2017). L1-space for sugeno integral. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10571 LNAI, pp. 63–73). Springer Verlag. https://doi.org/10.1007/978-3-319-67422-3_7

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