Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

Square roots of matrices over a complete lattice

Authors
Feng Sun, Xue-ping Wang, Xiao-bing Qu, Tian-fei Wang
Corresponding Author
Feng Sun
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.6How to use a DOI?
Keywords
Square roots of a matrix, complete lattices, isotonic operator, infinitely V-distributive, semi-uninorm.
Abstract

This paper deals with square roots of a matrix over a complete lattice, where the matrix composition is _ U with U being an infinitely _-distributive isotonic operator. We give a general characterization for the existence of a square root of a matrix over a complete lattice. Furthermore, we give methods to construct a square root of a matrix while U is idempotent or a semi-uninorm.

Copyright
© 2015, 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 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.6How to use a DOI?
Copyright
© 2015, 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  - Feng Sun
AU  - Xue-ping Wang
AU  - Xiao-bing Qu
AU  - Tian-fei Wang
PY  - 2015/06
DA  - 2015/06
TI  - Square roots of matrices over a complete lattice
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 21
EP  - 27
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.6
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.6
ID  - Sun2015/06
ER  -