title: |
Filters in algebras of fuzzy logics |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 169 - 174 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Martin V¨ªta, Petr Cintula |
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publication date: |
July 2011 |
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keywords: |
Filters, Abstract Algebraic Logic,
Rasiowa-Implicative Logics |
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abstract: |
This paper presents a generalization of many particular results about special types of filters (e.g.,
(positive) implicative, fantastic) on algebras of nonclassical (mostly fuzzy) logics. Our approach is
rooted in the framework of Abstract Algebraic
Logic, and is based on the close connection between
the filter-defining conditions and alternative axiomatizations of the logics involved. We identify four
main kinds of theorems proved in the literature and
we formulate general theorems which (provided a
simple syntactical proof) yield the majority of published results as their direct consequences. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |