Filters in algebras of fuzzy logics

DOI

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.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

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 (EUSFLAT-11)
PB  - Atlantis Press
SP  - 169
EP  - 174
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.123
DO  - 10.2991/eusflat.2011.123
ID  - Víta2011/08
ER  -