Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

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/).

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Volume Title
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
10.2991/eusflat.2013.91
ISSN
1951-6851
DOI
10.2991/eusflat.2013.91How to use a DOI?
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  -