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

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Riesz MV-algebras and their logic

Authors
Antonio Di Nola, Ioana Leustean
Corresponding Author
Antonio Di Nola
Available Online August 2011.
DOI
10.2991/eusflat.2011.125How to use a DOI?
Keywords
RMV-algebra, MV-algebra, Riesz space, Lukasiewicz logic.
Abstract

We develop the general theory of RMV-algebras, which are essentially unit intervals in Riesz spaces with strong unit. Since the variety of RMV-algebras is generated by [0, 1], we get an equational characterization of the real product on [0,1] interpreted as scalar multiplication.

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/).

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Volume Title
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
Series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
10.2991/eusflat.2011.125How to use a DOI?
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/).

Cite this article

risenwbib
TY  - CONF
AU  - Antonio Di Nola
AU  - Ioana Leustean
PY  - 2011/08
DA  - 2011/08
TI  - Riesz MV-algebras and their logic
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 140
EP  - 145
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.125
DO  - 10.2991/eusflat.2011.125
ID  - DiNola2011/08
ER  -