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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   +1 more source

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   +2 more sources

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

Sugeno integral in a finite Boolean algebra

Fuzzy Sets and Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Sugeno Integrals

2008
Zhenyuan Wang, George J. Klir
openaire   +1 more source

Face Recognition With an Improved Interval Type-2 Fuzzy Logic Sugeno Integral and Modular Neural Networks

IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 2011
Patricia Melin   +2 more
exaly  

The Sugeno integral with respect to α-preinvex functions

Fuzzy Sets and Systems, 2020
Tingsong Du
exaly  

On the Jensen type inequality for generalized Sugeno integral

Information Sciences, 2014
Marek Kaluszka   +2 more
exaly  

On some advanced type inequalities for Sugeno integral and T-(S-)evaluators

Information Sciences, 2012
Hamzeh Agahi   +2 more
exaly  

Sugeno Integral Extended to Undefined Inputs

2022
Michal Burda   +2 more
openaire   +1 more source

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