set mappings
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2021 ◽  
Vol 6 (2) ◽  
pp. 1800-1815
Author(s):  
S. S. Chang ◽  
◽  
Salahuddin ◽  
M. Liu ◽  
X. R. Wang ◽  
...  

2018 ◽  
Vol 11 (3) ◽  
pp. 107-123 ◽  
Author(s):  
Jamshaid Ahmad ◽  
Ahmed Al-Rawashdeh

2018 ◽  
Vol 59 (3) ◽  
pp. 405-416
Author(s):  
Shahram Mohsenipour ◽  
Saharon Shelah
Keyword(s):  

2017 ◽  
Vol 63 (6) ◽  
pp. 605-613
Author(s):  
Antonio Avilés ◽  
Claribet Piña
Keyword(s):  

Author(s):  
Gaofeng Zong ◽  
Zengjing Chen ◽  
Faisal Shahzad

In this paper, we propose a concept of comonotonicity of random sets, which is a set inclusion relation and generalized notion of comonotonicity of real-valued random variables. Then we study some elementary properties of comonotonicity of random sets and comonotonic additivity of real-valued Choquet integral for random set mappings. After this, some other properties of this kind of real-valued Choquet integral for random set mappings are characterized by the comonotonic additivity, for instance, translation invariance, sup-norm continuous, positive homogeneity.


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