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Towards a Tesseract of Sugeno Integrals
2021Structures of opposition, such as the hexagon and different cubes, derived from the square of opposition of ancient logic, have for more than a decade shown their interest in the analysis of various frameworks for the representation and processing of information (possibly pervaded with uncertainty).
Didier Dubois, Henri Prade, Agnès Rico
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A new characterization of the discrete Sugeno integral [PDF]
11 ...
Radko Mesiar +2 more
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The Sugeno integral. A point of view
Information Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chebyshev inequality for Sugeno integrals
Fuzzy Sets and Systems, 2010Q1
Josefa Caballero, Kishin B. Sadarangani
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$$L_1$$-space for Sugeno Integral
2017Let \(L_1(Su)\) be the \(L_1\) space with respect to the Sugeno integral for a fuzzy measure [7, 9]. \(L_1(Su)\) is a linear space with the natural quasi-metric. In general \(L_1(Su)\) is not necessarily a topological linear space. We shall characterize explicitely the maximal topological linear subspace of \(L_1(Su)\).
Aoi Honda, Yoshiaki Okazaki
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Lexicographic Refinements of Sugeno Integrals
2007This paper deals with decision-making under uncertainty when the worth of acts is evaluated by means of Sugeno integral on a finite scale. One limitation of this approach is the coarse ranking of acts it produces. In order to refine this ordering, a mapping from the common qualitative utility and uncertainty scale to the reals is proposed, whereby ...
Didier Dubois, Hélène Fargier
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Hölder type inequality for Sugeno integral
Fuzzy Sets and Systems, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liping Zhu
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Fuzzy MCDM and the Sugeno Integral
2010We study the case of using Sugeno integral to aggregate ill-known (fuzzy) local utilities. The proposed approach is based on the extension principle and a formulation of the Sugeno integral that does not require that utility values be totally ordered.We apply the proposed approach in a decision-making framework in which fuzzy rule-bases are used to ...
Didier Dubois +2 more
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A generalization of Sugeno integrals
NAFIPS/IFIS/NASA '94. Proceedings of the First International Joint Conference of The North American Fuzzy Information Processing Society Biannual Conference. The Industrial Fuzzy Control and Intelligent Systems Conference, and the NASA Joint Technology Wo, 2002In this paper, we generalize the definition of Sugeno integrals by utilizing the so-called median operations, which are a special kind of aggregation operations. The generalized integrals, which we call median integrals, possess almost all common properties of Sugeno integrals.
B. Yuan, G.J. Klir
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SUGENO INTEGRAL AND THE COMONOTONE COMMUTING PROPERTY
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2009Comonotone maxitivity and minitivity of Sugeno integral can be seen as commuting of the Sugeno integral and max, resp. min operator for comonotone functions. In the paper, we look for the other operators commuting with the Sugeno integral when comonotone functions are considered.
Yao Ouyang, Radko Mesiar
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