Atoms of fuzzy measures and fuzzy integrals
Fuzzy Sets and Systems
On the pseudo-autocontinuity of fuzzy measures
Fuzzy Sets and Systems
The range of null-additive fuzzy and non-fuzzy measures
Fuzzy Sets and Systems
Lebesgue and Saks decompositions of &sgr;-finite fuzzy measures
Fuzzy Sets and Systems
Fuzzy measures on metric spaces
Fuzzy Sets and Systems
A note on the range of null-additive fuzzy and non-fuzzy measure
Fuzzy Sets and Systems
Pseudometric generating property and autocontinuity of fuzzy measures
Fuzzy Sets and Systems
Fuzzy Measure Theory
Non-atomicity for fuzzy and non-fuzzy multivalued set functions
Fuzzy Sets and Systems
Measurability and Gould integrability in finitely purely atomic multisubmeasure spaces
WSEAS Transactions on Mathematics
CI'10 Proceedings of the 4th WSEAS international conference on Computational intelligence
Pseudo-atoms and Darboux property for set multifunctions
Fuzzy Sets and Systems
Null-additive fuzzy set multifunctions
NN'10/EC'10/FS'10 Proceedings of the 11th WSEAS international conference on nural networks and 11th WSEAS international conference on evolutionary computing and 11th WSEAS international conference on Fuzzy systems
Autocontinuity of set-valued fuzzy measures and applications
Fuzzy Sets and Systems
Atoms of weakly null-additive monotone measures and integrals
Information Sciences: an International Journal
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In this paper, we introduce the concept of pseudo-atoms of set functions, and establish some fundamental conclusions about pseudo-atoms on the assumption of null-null-additivity. We give the necessary and sufficient conditions which insure that the set of non-null-measure contains no pseudo-atoms. Further, we obtain several decomposition theorems about pseudo-atoms and atoms of set functions.