Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
395963 | Information Sciences | 2009 | 15 Pages |
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
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Artificial Intelligence
Authors
Lavinia Corina Ciungu,