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Jensen-type inequalities for Sugeno integral

Information Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehdi Abbaszadeh Soorami   +2 more
exaly   +2 more sources

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
openaire   +1 more source

SUGENO INTEGRAL AND THE COMONOTONE COMMUTING PROPERTY

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2009
Comonotone maxitivity and minitivity of Sugeno integral can be seen as commuting of the Sugeno integral and max, resp. min operator for comonotone functions. In the paper, we look for the other operators commuting with the Sugeno integral when comonotone functions are considered.
Yao Ouyang, Radko Mesiar
openaire   +2 more sources

Hölder type inequality for Sugeno integral

Fuzzy Sets and Systems, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Limin Wu   +3 more
openaire   +3 more sources

On Stolarsky inequality for Sugeno and Choquet integrals

Information Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamzeh Agahi   +4 more
openaire   +1 more source

Berwald type inequality for Sugeno integral

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamzeh Agahi   +4 more
openaire   +2 more sources

Discrete Sugeno Integrals and Their Applications

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.
openaire   +1 more source

ON FUZZINESS MEASURES VIA SUGENO'S INTEGRAL

1995
We introduce a notion of partial order for fuzzy sets in connection with their greater or smaller fuzziness. This allows us to give a simple basis to theory of fuzziness measures. Sugeno's integral permits to built very large classes of fuzziness measures.
P. BENVENUTI, VIVONA, Doretta, M. DIVARI
openaire   +2 more sources

A note on upper and lower Sugeno integrals

Fuzzy Sets and Systems, 2003
The Sugeno integral for functions measurable with respect to a paving \({\mathcal A}\) (system of subsets of a universe \(X\) containing the empty set) and fuzzy measures on \({\mathcal A}\) (monotone \({\mathcal A}\to [0,1]\) set functions vanishing at the empty set) is introduced and discussed, and extended for arbitrary \(X\to [0,1]\) functions in ...
openaire   +3 more sources

Jensen Inequality with Subdifferential for Sugeno Integral

2017
The classical Jensen inequality for concave function \(\varphi \) is adapted for the Sugeno integral using the notion of the subdifferential. Some examples in the framework of the Lebesgue measure to illustrate the results are presented.
Anikó Szakál   +3 more
openaire   +2 more sources

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