Residual implications derived from uninorms satisfying Modus Ponens
Authors
Margarita Mas, Miquel Monserrat, Daniel Ruiz-Aguilera, Joan Torrens
Corresponding Author
Margarita Mas
Available Online June 2015.
- DOI
- 10.2991/ifsa-eusflat-15.2015.35How to use a DOI?
- Keywords
- Fuzzy implication function, residual implication, Modus Ponens, uninorm.
- Abstract
Modus Ponens is a key property for fuzzy implication functions that are going to be used in fuzzy inference processes. In this paper it is investigated when fuzzy implication functions derived from uninorms via residuation, usually called RUimplications, satisfy the modus ponens with respect to a continuous t-norm T, or equivalently, when they are T-conditionals. For RU-implications it is proved that T-conditionality only depends on the underlying t-norm TU of the uninorm U used to derive the residual implication and this fact leads to a lot of new solutions of the Modus Ponens property. Along the paper the particular cases when the uninorm lies in any of the most usual classes of uninorms are considered.
- Copyright
- © 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 - Margarita Mas AU - Miquel Monserrat AU - Daniel Ruiz-Aguilera AU - Joan Torrens PY - 2015/06 DA - 2015/06 TI - Residual implications derived from uninorms satisfying Modus Ponens 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 - 233 EP - 240 SN - 1951-6851 UR - https://doi.org/10.2991/ifsa-eusflat-15.2015.35 DO - 10.2991/ifsa-eusflat-15.2015.35 ID - Mas2015/06 ER -