Atoms of fuzzy measures and fuzzy integrals
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Generalized fuzzy integrals of set-valued functions
Fuzzy Sets and Systems
Information Sciences—Informatics and Computer Science: An International Journal
Regularity and Lusin's theorem for Riesz space-valued fuzzy measures
Fuzzy Sets and Systems
Pseudo-atoms of fuzzy and non-fuzzy measures
Fuzzy Sets and Systems
Fuzzy measure of multiple risk factors in the prediction of osteoporotic fractures
FS'08 Proceedings of the 9th WSEAS International Conference on Fuzzy Systems
On darboux property of fuzzy multimeasures
FS'09 Proceedings of the 10th WSEAS international conference on Fuzzy systems
On different types of convergences for sequences of totally-measurable functions
SMO'09 Proceedings of the 9th WSEAS international conference on Simulation, modelling and optimization
Finitely purely (pseudo) atomic set multifunctions
ECC'09 Proceedings of the 3rd international conference on European computing conference
On regular multisubmeasures and their applications
ECC'09 Proceedings of the 3rd international conference on European computing conference
Measurability and Gould integrability in finitely purely atomic multisubmeasure spaces
WSEAS Transactions on Mathematics
On different types of non-additive set multifunctions
WSEAS Transactions on Mathematics
Fuzzy Sets and Systems
Convergence theorems for totally-measurable functions
WSEAS Transactions on Mathematics
CI'10 Proceedings of the 4th WSEAS international conference on Computational intelligence
Fuzzy integrability of multifunctions
CI'10 Proceedings of the 4th WSEAS international conference on Computational intelligence
Fuzzy diffused set multifunctions
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
Diffusion and semi-convexity of fuzzy set multifunctions
WSEAS Transactions on Mathematics
Fuzzy posterior-probabilistic fusion
Pattern Recognition
On a non-linear integral of multifunctions with respect to a fuzzy measure
MAMECTIS/NOLASC/CONTROL/WAMUS'11 Proceedings of the 13th WSEAS international conference on mathematical methods, computational techniques and intelligent systems, and 10th WSEAS international conference on non-linear analysis, non-linear systems and chaos, and 7th WSEAS international conference on dynamical systems and control, and 11th WSEAS international conference on Wavelet analysis and multirate systems: recent researches in computational techniques, non-linear systems and control
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In this paper, we extend the concept of set-valued fuzzy measures (introduced and studied by Guo and Zhang [2004. On set-valued fuzzy measures. Information Sciences 160 (2004) 13-25]) to the class of multivalued set functions taking values in the family of non-empty closed subsets of a real normed space. Also, we introduce the notions of atom and non-atomicity of a multivalued set function and present some of their properties. We also establish an extension result by preserving non-atomicity for a fuzzy multisubmeasure/multimeasure.