Proceedings of the 4th Annual International Conference on Management, Economics and Social Development (ICMESD 2018)

Interval-Valued Logic Metric Spaces

Authors
Zhao-Rui Xue, Min-Xia Luo
Corresponding Author
Zhao-Rui Xue
Available Online May 2018.
DOI
10.2991/icmesd-18.2018.168How to use a DOI?
Keywords
Interval-valued fuzzy sets, Distance metric, Logic metric spaces.
Abstract

A new distance metric between interval-valued fuzzy sets is proposed. And based on this metric, we analysis and compare the structures of four special interval-valued fuzzy metric spaces, which are induced by four well-known residual implication operations. It shows that the interval-valued fuzzy metric spaces induced by Lucasiewicz implication and Goguen implication are more suitable for interval-valued fuzzy reasoning.

Copyright
© 2018, 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 4th Annual International Conference on Management, Economics and Social Development (ICMESD 2018)
Series
Advances in Economics, Business and Management Research
Publication Date
May 2018
ISBN
10.2991/icmesd-18.2018.168
ISSN
2352-5428
DOI
10.2991/icmesd-18.2018.168How to use a DOI?
Copyright
© 2018, 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  - Zhao-Rui Xue
AU  - Min-Xia Luo
PY  - 2018/05
DA  - 2018/05
TI  - Interval-Valued Logic Metric Spaces
BT  - Proceedings of the 4th Annual International Conference on Management, Economics and Social Development (ICMESD 2018)
PB  - Atlantis Press
SP  - 981
EP  - 987
SN  - 2352-5428
UR  - https://doi.org/10.2991/icmesd-18.2018.168
DO  - 10.2991/icmesd-18.2018.168
ID  - Xue2018/05
ER  -