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Berwald type inequality for Sugeno integral

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamzeh Agahi   +2 more
exaly   +3 more sources

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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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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$$L_1$$-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
openaire   +1 more source

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
openaire   +2 more sources

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   +2 more
openaire   +1 more source

A Possibilistic Logic View of Sugeno Integrals

2011
Sugeno integrals are well-known qualitative aggregation functions in multiple criteria decision making. They return a global evaluation between the minimum and the maximum of the input criteria values. They can model sophisticated aggregation schemes through a system of priorities that applies to any subset of criteria and can take into account some ...
Dubois, Didier   +2 more
openaire   +1 more source

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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On Stolarsky inequality for Sugeno and Choquet integrals

Information Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamzeh Agahi   +4 more
openaire   +1 more source

Genetic Algorithm Based on Sugeno Integral

2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery, 2009
For the actual need of future research and application, this paper proposes a new method that is a new fuzzy control system of fuzzy integral-genetic algorithm (FI-GA). By fuzzy integral, it can study comprehensive evaluation of population diversity and individual quantity on three attributes: individual difference extent, the difference extent of ...
Zhilong Wu, Jinjie Song, Caipo Zhang
openaire   +1 more source

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