Abstract
The properties of ⊥-decomposable measures are investigated for t-conorms ⊥ which are more general than Archimedean t-conorms. The continuity of such set functions with respect to suitably chosen submeasures is proved. As an important consequence, a Lebesgue type decomposition theorem is obtained. A version of Saks decomposition for order continuous ⊥-decomposable measures with respect to arbitrary t-conorms is proved.
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