Article ID Journal Published Year Pages File Type
395963 Information Sciences 2009 15 Pages PDF
Abstract

In this paper we extend some properties of the radical of an MTL-algebra to the non-commutative case of a more general residuated structure, namely the FLwFLw-algebra. For the particular case of pseudo-MTL algebras, some specific results are presented. We introduce the notion of a local additive measure on a perfect pseudo-MTL algebra and we prove that, with some additional conditions, every local additive measure can be extended to a Riečan state; a necessary and sufficient condition is given for such an extension to be a Bosbach state.

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Physical Sciences and Engineering Computer Science Artificial Intelligence
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