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Sugeno Integrals and the Commutation Problem [PDF]
In decision problems involving two dimensions (like several agents in uncertainty) the properties of expected utility ensure that the result of a two-stepped procedure evaluation does not depend on the order with which the aggregations of local evaluations are performed (e.g., agents first, uncertainty next, or the converse).
D. Dubois, H. Fargier, Agnès Rico
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Generalized K-Sugeno integrals and their equivalent representations
Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yujie Tao, Gang Sun, Guijun Wang
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IEEE transactions on fuzzy systems, 2020
The usage of the standard $h$-index to compare scientists from different research fields is often misleading. To avoid this possible failure, based on the Sugeno integrals, three new modified indices $H_\alpha, H^\beta$, and $H_\alpha ^\beta$ are ...
Lesheng Jin, R. Mesiar, A. Stupňanová
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The usage of the standard $h$-index to compare scientists from different research fields is often misleading. To avoid this possible failure, based on the Sugeno integrals, three new modified indices $H_\alpha, H^\beta$, and $H_\alpha ^\beta$ are ...
Lesheng Jin, R. Mesiar, A. Stupňanová
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An extension on Sugeno integral and Pettis-Sugeno integral
Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569), 2002We extend the concept of Sugeno fuzzy integral from nonnegative fuzzy measurable functions to extended real-valued fuzzy measurable functions; several necessary and sufficient conditions of absolute (S)-integrability for extended real-valued fuzzy measurable functions are given. Meanwhile, the space (S(/spl mu/), /spl rho/(.,.)) of all fuzzy measurable
null Wu Congxin, M. Traore
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DC optimization for constructing discrete Sugeno integrals and learning nonadditive measures
, 2020Defined solely by means of order-theoretic operations meet (min) and join (max), weighted lattice polynomial functions are particularly useful for modelling data on an ordinal scale. A special case, the discrete Sugeno integral, defined with respect to a
G. Beliakov +4 more
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Sandor’s inequality for Sugeno integrals
Applied Mathematics and Computation, 2011Q1
Caballero, J., Sadarangani, K.
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Steffensen's Integral Inequality for the Sugeno Integral
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2014In this paper we consider Steffensen's integral inequality for the Sugeno integral [Formula: see text] where f is a nonincreasing and convex function defined on [0, 1] with f(0) = 1, f(1) = 0 and g is a nonincreasing function defined on [0, 1] where 0 ≤ g(t) ≤ 1 for all t ∈ [a, b] with [Formula: see text]
Hong, Dug Hun +2 more
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Discrete Sugeno Integrals and Their Applications
Scalable Uncertainty Management, 2018This 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.
Agnès Rico
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Hermite-Hadamard type inequality for Sugeno integrals
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dong-Qing Li, Xiaoqiu Song, Tian Yue
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Level-Dependent Sugeno Integral
IEEE Transactions on Fuzzy Systems, 2009In this paper, a new concept of level-dependent Sugeno integral is introduced, and it is used to represent comonotone maxitive aggregation functions acting on a complete scale K. The relationship between the level-dependent Sugeno integral and some other types of fuzzy integrals is shown, and properties of the level-dependent Sugeno integral are ...
Radko Mesiar +2 more
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