Kybernetika 51 no. 2, 246-254, 2015

Why λ-additive (fuzzy) measures?

Ion ChiţescuDOI: 10.14736/kyb-2015-2-0246

Abstract:

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.

Keywords:

generalized measure (probability), $\lambda $-additive measure, functional equation

Classification:

28E05, 39B05, 60A86, 28A23, 28E10, 39B22

paper.pdf

References:

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