Why $\lambda $-additive (fuzzy) measures?
Kybernetika, Tome 51 (2015) no. 2, pp. 246-254
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The paper is concerned with generalized (i. e. monotone and possibly non-additive) measures. A discussion concerning the classification of these measures, according to the type and amount of non-additivity, is done. It is proved that $\lambda$-additive measures appear naturally as solutions of functional equations generated by the idea of (possible) non additivity.
DOI :
10.14736/kyb-2015-2-0246
Classification :
28A23, 28E05, 28E10, 39B05, 39B22, 60A86
Keywords: generalized measure (probability); $\lambda $-additive measure; functional equation
Keywords: generalized measure (probability); $\lambda $-additive measure; functional equation
@article{10_14736_kyb_2015_2_0246,
author = {Chi\c{t}escu, Ion},
title = {Why $\lambda $-additive (fuzzy) measures?},
journal = {Kybernetika},
pages = {246--254},
publisher = {mathdoc},
volume = {51},
number = {2},
year = {2015},
doi = {10.14736/kyb-2015-2-0246},
mrnumber = {3350559},
zbl = {06487076},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-2-0246/}
}
Chiţescu, Ion. Why $\lambda $-additive (fuzzy) measures?. Kybernetika, Tome 51 (2015) no. 2, pp. 246-254. doi: 10.14736/kyb-2015-2-0246
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