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• W1874567253 abstract "We propose an extension of the Sugeno integral for negative numbers, in the spirit of the symmetric extension of Choquet integral, also called Šipoš integral. Our framework is purely ordinal, since the Sugeno integral has its interest when the underlying structure is ordinal. We begin by defining negative numbers on a linearly ordered set, and we endow this new structure with a suitable algebra, very close to the ring of real numbers. In a second step, we introduce the Möbius transform on this new structure. Lastly, we define the symmetric Sugeno integral, and show its similarity with the symmetric Choquet integral." @default.
• W1874567253 created "2016-06-24" @default.
• W1874567253 creator A5034398981 @default.
• W1874567253 date "2003-11-01" @default.
• W1874567253 modified "2023-10-07" @default.
• W1874567253 title "The symmetric Sugeno integral" @default.
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• W1874567253 doi "https://doi.org/10.1016/s0165-0114(02)00499-2" @default.
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