| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 393985 | Information Sciences | 2013 | 9 Pages |
Abstract
The aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach states if and only if L has an MV-filter. We also establish that L has a state-morphism if and only if L has a maximal MV-filter. Furthermore, we obtain the necessary and sufficient condition for an MTL-chain having Riečan states.
Keywords
Related Topics
Physical Sciences and Engineering
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Artificial Intelligence
Authors
Lianzhen Liu,