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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), 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
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Sandor’s inequality for Sugeno integrals

Applied Mathematics and Computation, 2011
Q1
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, 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
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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
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Interval Sugeno Integral With Preference

IEEE Transactions on Fuzzy Systems, 2020
Sugeno Integral is based on Fuzzy Integral Inference and widely used in applications such as decision making and computational intelligence. When concerned inputs are intervals, directly using Sugeno Integral to respectively aggregate the lower bounds and upper bounds of those intervals has limitations and does not embody fuzzy integral inference. This
XingTing Pu   +3 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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Generalized K-Sugeno integrals and their equivalent representations

Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tao, Yujie, Sun, Gang, Wang, Guijun
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An extension of Sugeno integral

Fuzzy Sets and Systems, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Congxin, Traore, Mamadou
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Chebyshev inequality for Sugeno integrals

Fuzzy Sets and Systems, 2010
Q1
Caballero, J., Sadarangani, K.
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On the comonotonic-★-property for Sugeno integral

Applied Mathematics and Computation, 2009
The paper deals mainly with the Sugeno integral possessing the comonotonic \(*\) property; this property is defined as follows: with \(*: [0,\infty]^2\to[0, \infty]\) a binary operation, a Sugeno integral is said to possess the comonotonic \(*\) property if \((s)\int_Af*g\,d\mu= (s)\int_Af\,d \mu*(s)\int_Ag\,d\mu\) holds for any fuzzy measure space ...
Ouyang, Yao, Mesiar, Radko, Li, Jun
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