For Quantum and Reversible Computing, Intervals Are More Appropriate Than General Sets, And Fuzzy Numbers Than General Fuzzy Sets

DOI

10.2991/eusflat-19.2019.89How to use a DOI?

Keywords

reversible computing quantum computing interval uncertainty set uncertainty fuzzy numbers fuzzy sets

Abstract

Need for faster and faster computing necessitates going down to quantum level -- which means involving quantum computing. One of the important features of quantum computing is that it is reversible. Reversibility is also important as a way to decrease processor heating and thus, enable us to place more computing units in the same volume. In this paper, we argue that from this viewpoint, interval uncertainty is more appropriate than the more general set uncertainty -- and, similarly, that fuzzy numbers (for which all alpha-cuts are intervals) are more appropriate than more general fuzzy sets. We also explain why intervals (and fuzzy numbers) are indeed ubiquitous in applications.

Copyright

© 2019, 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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TY  - CONF
AU  - Oscar Galindo
AU  - Vladik Kreinovich
PY  - 2019/08
DA  - 2019/08
TI  - For Quantum and Reversible Computing, Intervals Are More Appropriate Than General Sets, And Fuzzy Numbers Than General Fuzzy Sets
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 641
EP  - 647
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.89
DO  - 10.2991/eusflat-19.2019.89
ID  - Galindo2019/08
ER  -