An extension of Yager's implications
Authors
Sebastià Massanet, Joan Torrens
Corresponding Author
Sebastià Massanet
Available Online August 2013.
- DOI
- 10.2991/eusflat.2013.91How to use a DOI?
- Keywords
- Fuzzy implications Yager's f-generated implications Yager's g-generated implications (h-e)-implications
- Abstract
In this paper, an extension of Yager's implications is proposed by means of generalizing the internal factor x, in the case of f-generated implications, or 1/x, in the case of g-generated implications, to more general unary functions. The importance of this extension stems from the fact that both subclasses of Yager's implications are extended in a similar way and the resulting classes of fuzzy implications will be useful to characterize the recently introduced (h,e)-implications. In addition, the behaviour and additional properties of the generated implications are determined.
- Copyright
- © 2013, 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 - Sebastià Massanet AU - Joan Torrens PY - 2013/08 DA - 2013/08 TI - An extension of Yager's implications BT - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 637 EP - 644 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.91 DO - 10.2991/eusflat.2013.91 ID - Massanet2013/08 ER -