Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Filters in algebras of fuzzy logics

Authors
Martin Víta, Petr Cintula
Corresponding Author
Martin Víta
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.123How to use a DOI?
Keywords
Filters, Abstract Algebraic Logic, Rasiowa-Implicative Logics
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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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
DOI
https://doi.org/10.2991/eusflat.2011.123How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Martin Víta
AU  - Petr Cintula
PY  - 2011/08
DA  - 2011/08
TI  - Filters in algebras of fuzzy logics
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 169
EP  - 174
UR  - https://doi.org/10.2991/eusflat.2011.123
DO  - https://doi.org/10.2991/eusflat.2011.123
ID  - Víta2011/08
ER  -