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On Sugeno integral as an aggregation function [PDF]
Fuzzy Sets and Systems, 2000 The author studies the Sugeno integral with respect to a discrete fuzzy measure \(\mu: 2^n\to [0,1]\) (i.e., a monotone function with \(\mu(\emptyset)= 0\) and \(\mu(\{1,\dots, n\})= 1\). Identifying a real-valued function on \(\{1,\dots, n\}\) with a vector \((x_1,\dots, x_n)\) the Sugeno integral is considered as aggregation function, i.e., a real ...
Jean-Luc Marichal
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On Monotonicity of the Interval Sugeno Integral
IEEE Transactions on Fuzzy Systems, 2021A monotonicity of Interval Sugeno Integrals proposed in “X. Pu, R. Mesiar, R. R. Yager, L. Jin, Interval Sugeno integral with preference,” IEEE Trans . Fuzzy Syst. vol. 28, pp. 597–601, 2020 has been found incorrect with a counter example. This letter presents the counter example and analyzes the reason that causes such nonmonotonicity.
Radko Mesiar +2 more
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Fuzzy Sets and Systems, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ion Chitescu +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ion Chitescu +2 more
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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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A note on some algebraic properties of discrete Sugeno integrals
Fuzzy Sets and Systems, 2019 Based on the link between Sugeno integrals and fuzzy measures, we discuss several algebraic properties of discrete Sugeno integrals. We recall that the composition of Sugeno integrals is again a Sugeno integral, and that each Sugeno integral can be ...
Radko Mesiar +2 more
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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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Generalized qualitative Sugeno integrals [PDF]
Information Sciences, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Didier Dubois, Henri Prade, Bruno Teheux
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Interval Sugeno Integral With Preference
IEEE Transactions on Fuzzy Systems, 2020Sugeno 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
Radko Mesiar +2 more
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An extension of Sugeno integral
Fuzzy Sets and Systems, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Congxin Wu, Mamadou Traore
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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]
Dug Hun Hong +2 more
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