scholarly journals Dieudonné-type theorems for lattice group-valued k-triangular set functions

Kybernetika ◽  
2019 ◽  
pp. 233-251
Author(s):  
Antonio Boccuto ◽  
Xenofon Dimitriou
Keyword(s):  
Lattice Group ◽  
Set Functions

scholarly journals Limit Theorems for k-Subadditive Lattice Group-Valued Capacities in The Filter Convergence Setting

2016 ◽  
Vol 65 (1) ◽  
pp. 1-21
Author(s):  
Antonio Boccuto ◽  
Xenofon Dimitriou
Keyword(s):  
Limit Theorems ◽  
Open Problems ◽  
Lattice Group ◽  
Set Functions ◽  
Filter Convergence

Abstract We investigate some properties of lattice group-valued positive, monotone and k-subadditive set functions, and in particular, we give some comparisons between regularity and continuity from above. Moreover, we prove different kinds of limit theorems with respect to filter convergence. Furthermore, some open problems are posed.

The implementation of set functions in APL

1998 ◽  
Vol 28 (3) ◽  
pp. 31-32
Author(s):  
Joseph De Kerf
Keyword(s):  
Set Functions

scholarly journals A localization inequality for set functions

2006 ◽  
Vol 113 (4) ◽  
pp. 726-735 ◽  
Author(s):  
László Lovász ◽  
Michael Saks
Keyword(s):  
Set Functions
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