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

Fuzzy logics with truth hedges revisited

Authors
Francesc Esteva, Lluís Godo, Carles Noguera
Corresponding Author
Francesc Esteva
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.54How to use a DOI?
Keywords
Truth hedges, Mathematical Fuzzy Logic, Standard completeness, T-norm based logics.
Abstract
In this paper we build upon previous works of Hájek and Vychodil on the axiomatization of truthstressing and depressing hedges as expansions of BL logic by new unary connectives. They show that their logics are chain-complete, but standard completeness is only proved for the expansions over Gödel logic. We propose weaker axiomatizations that have as main advantages the preservation of standard completeness properties of the original logic and the fact that any subdiagonal (resp. superdiagonal) non-decreasing function on [0, 1] preserving 0 and 1 is a sound interpretation of the truth stresser (resp. depresser) connectives.
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This is an open access article distributed under the CC BY-NC license.

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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
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.54How 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  - Francesc Esteva
AU  - Lluís Godo
AU  - Carles Noguera
PY  - 2011/08
DA  - 2011/08
TI  - Fuzzy logics with truth hedges revisited
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 146
EP  - 152
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.54
DO  - https://doi.org/10.2991/eusflat.2011.54
ID  - Esteva2011/08
ER  -