Results 161 to 170 of about 7,095 (206)

The symmetric Sugeno integral [PDF]

open access: yesFuzzy Sets and Systems, 2003
We propose an extension of the Sugeno integral for negative numbers, in the spirit of the symmetric extension of Choquet integral, also called \Sipos\ integral. Our framework is purely ordinal, since the Sugeno integral has its interest when the underlying structure is ordinal.
Michel Grabisch
exaly   +5 more sources
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On Monotonicity of the Interval Sugeno Integral

IEEE Transactions on Fuzzy Systems, 2021
A 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.
Michał Boczek   +2 more
exaly   +2 more sources

On Sugeno integral as an aggregation function [PDF]

open access: yesFuzzy 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
exaly   +6 more sources

Computing Sugeno integrals

Fuzzy Sets and Systems, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ion Chitescu   +2 more
openaire   +1 more source

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   +2 more
exaly   +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
exaly   +2 more sources

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 ...
Yao Ouyang, Radko Mesiar, Jun Li
exaly   +3 more sources

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