Square roots of matrices over a complete lattice

DOI

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/).

Download article (PDF)

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  - 10.2991/ifsa-eusflat-15.2015.6
ID  - Sun2015/06
ER  -