Choquet integral Jensen’s inequalities for set-valued and fuzzy set-valued functions

[1]  Deli Zhang,et al.  Fubini theorem for F-valued integrals , 1994 .

[2]  Caimei Guo,et al.  Jensen's inequalities for set-valued and fuzzy set-valued functions , 2021, Fuzzy Sets Syst..

[3]  Hongxia Wang,et al.  Some properties and convergence theorems of set-valued Choquet integrals , 2013, Fuzzy Sets Syst..

[4]  Ivana Štajner-Papuga,et al.  Jensen and Chebyshev inequalities for pseudo-integrals of set-valued functions , 2013, Fuzzy Sets Syst..

[5]  Mirjana Strboja,et al.  An approach to pseudo-integration of set-valued functions , 2011, Inf. Sci..

[6]  M. Puri,et al.  Fuzzy Random Variables , 1986 .

[7]  L. C. Jang,et al.  On the representation of Choquet integrals of set-valued functions, and null sets , 2000, Fuzzy Sets Syst..

[8]  Sadegh Abbaszadeh,et al.  Jensen-type inequalities for Sugeno integral , 2017, Inf. Sci..

[9]  Tiago Mendonça da Costa,et al.  Jensen's inequality type integral for fuzzy-interval-valued functions , 2017, Fuzzy Sets Syst..

[10]  R. Mesiar.  Choquet-like Integrals , 1995 .

[11]  Humberto Bustince,et al.  The state-of-art of the generalizations of the Choquet integral: From aggregation and pre-aggregation to ordered directionally monotone functions , 2020, Inf. Fusion.

[12]  G. Klir,et al.  Generalized Measure Theory , 2008 .

[13]  Heriberto Román-Flores,et al.  Some integral inequalities for fuzzy-interval-valued functions , 2017, Inf. Sci..

[14]  Michal Boczek,et al.  On the Jensen type inequality for generalized Sugeno integral , 2014, Inf. Sci..

[15]  Rui-Sheng Wang,et al.  Some inequalities and convergence theorems for Choquet integrals , 2011 .

[16]  Endre Pap,et al.  Generalization of the Jensen’s inequality for pseudo-integral , 2008, 2008 6th International Symposium on Intelligent Systems and Informatics.

[17]  Alina Gavrilut,et al.  A Gould type integral of fuzzy functions , 2017, Fuzzy Sets Syst..

[18]  Yan Huang,et al.  Real-valued Choquet integrals for set-valued mappings , 2014, Int. J. Approx. Reason..

[19]  Radko Mesiar,et al.  Pseudo-integral and generalized Choquet integral , 2020, Fuzzy Sets Syst..

[20]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[21]  A. Flores-Franulic,et al.  A Jensen type inequality for fuzzy integrals , 2007, Inf. Sci..

[22]  M. Puri,et al.  Limit theorems for fuzzy random variables , 1986, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[23]  R. Aumann.  INTEGRALS OF SET-VALUED FUNCTIONS , 1965 .

[24]  Dayou Liu,et al.  Set-valued Choquet integrals revisited , 2004, Fuzzy Sets Syst..

[25]  Volker Krätschmer,et al.  Limit theorems for fuzzy-random variables , 2002, Fuzzy Sets Syst..

[26]  L. C. Jang,et al.  Some properties of Choquet integrals of set-valued functions , 1997, Fuzzy Sets Syst..

[27]  Deli Zhang,et al.  On set-valued fuzzy measures , 2004, Inf. Sci..

[28]  D. Denneberg.  Non-additive measure and integral , 1994 .