Results 181 to 190 of about 882 (207)

Towards a Tesseract of Sugeno Integrals

2021
Structures 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 note on a Carlson-type inequality for the Sugeno integral

Applied Mathematics Letters, 2012
In this short note, we present a general version of Carlson’s inequality for the Sugeno integral, which generalizes some recent results obtained by ...
Yao Ouyang
exaly   +2 more sources

An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework [PDF]

IEEE Transactions on Fuzzy Systems, 2001
peer reviewedWe present a model allowing to aggregate decision criteria when the available information is of a qualitative nature. The use of the Sugeno integral as an aggregation function is justified by an axiomatic approach.
MARICHAL, Jean-Luc
exaly   +2 more sources

Chebyshev inequality for Sugeno integrals

Fuzzy Sets and Systems, 2010
Q1
Josefa Caballero, Kishin B. Sadarangani
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Lexicographic Refinements of Sugeno Integrals

2007
This 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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$$L_1$$-space for Sugeno Integral

2017
Let \(L_1(Su)\) 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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Fuzzy MCDM and the Sugeno Integral

2010
We 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, Hélène Fargier, Sandra A. Sandri   +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, 2002
In 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, 2009
Comonotone 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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Discrete Sugeno Integrals and Their Applications

2018
This paper is an overview of the discrete Sugeno integrals and their applications when the evaluation scale is a totally ordered set. The various expressions of the Sugeno integrals are presented. Some major characterisation results are recalled: results based on characteristic properties and act-based axiomatisation.
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