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Sugeno Integrals and the Commutation Problem [PDF]

open access: yesInternational Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2018
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
semanticscholar   +4 more sources
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Generalized K-Sugeno integrals and their equivalent representations

Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yujie Tao, Gang Sun, Guijun Wang
semanticscholar   +2 more sources

Sugeno Integrals, $H_\alpha$, and $H^\beta$ Indices: How to Compare Scientists From Different Academic Areas

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
semanticscholar   +1 more source

An extension on Sugeno integral and Pettis-Sugeno integral

Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569), 2002
We 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
openaire   +1 more source

DC optimization for constructing discrete Sugeno integrals and learning nonadditive measures

, 2020
Defined 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
semanticscholar   +1 more source

Sandor’s inequality for Sugeno integrals

Applied Mathematics and Computation, 2011
Q1
Caballero, J., Sadarangani, K.
openaire   +2 more sources

Steffensen's Integral Inequality for the Sugeno Integral

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2014
In 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
openaire   +1 more source

Discrete Sugeno Integrals and Their Applications

Scalable Uncertainty Management, 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.
Agnès Rico
semanticscholar   +3 more sources

Hermite-Hadamard type inequality for Sugeno integrals

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dong-Qing Li, Xiaoqiu Song, Tian Yue
semanticscholar   +2 more sources

Level-Dependent Sugeno Integral

IEEE Transactions on Fuzzy Systems, 2009
In 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
openaire   +1 more source

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