Infinitesimals and Pavelka logic
- https://doi.org/10.2991/ifsa-eusflat-15.2015.145How to use a DOI?
- Mathematical fuzzy logic, Rational Pavelka Logic, ukasiewicz operations, MValgebra, perfect MV-algebra, Chang’s MV-algebra.
Rational Pavelka Logic does not admit infinitesimals. We argue that infinitesimals are important in logic and we present an alternative approach which admits them. It is built up in a similar style, but based on the Chang’s perfect MV-algebra. We prove a partial result towards the completeness of this logic. We also discuss a combined approach using more complex perfect MV-algebras.
- © 2015, 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
TY - CONF AU - Esko Turunen AU - Mirko Navara PY - 2015/06 DA - 2015/06 TI - Infinitesimals and Pavelka logic BT - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology PB - Atlantis Press SP - 1027 EP - 1033 SN - 1951-6851 UR - https://doi.org/10.2991/ifsa-eusflat-15.2015.145 DO - https://doi.org/10.2991/ifsa-eusflat-15.2015.145 ID - Turunen2015/06 ER -