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

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Translation invariance and scale invariance of approximations of fuzzy numbers

Authors
Adrian Ban, Lucian Coroianu
Corresponding Author
Adrian Ban
Available Online August 2011.
DOI
10.2991/eusflat.2011.62How to use a DOI?
Keywords
Fuzzy number, Approximation, Scale invariance, Translation invariance.
Abstract

We give some sufficient conditions such that a crisp, interval, triangular, trapezoidal, parametric approximation of a fuzzy number, with or without additional requirements, to have the properties of invariance to translations or scale invariance.

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
10.2991/eusflat.2011.62
ISSN
1951-6851
DOI
10.2991/eusflat.2011.62How 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  - Adrian Ban
AU  - Lucian Coroianu
PY  - 2011/08
DA  - 2011/08
TI  - Translation invariance and scale invariance of approximations of fuzzy numbers
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 742
EP  - 748
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.62
DO  - 10.2991/eusflat.2011.62
ID  - Ban2011/08
ER  -