The structure of solution sets of fuzzy relation equations

DOI

10.2991/ifsa-eusflat-15.2015.7How to use a DOI?

Keywords

Fuzzy relation equations, Complete Boolean algebra, Structure of solution set

Abstract

In this paper, we consider the structure of solution sets of fuzzy relation equations over complete Boolean algebras. We show that each solution of a system of fuzzy relation equations can be represented by a linear combination of a special solution of its and some certain solutions of the homogeneous equations associated with the system.

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  - Xiaobing Qu
AU  - Feng Sun
AU  - Tianfei Wang
AU  - Qingquan Xiong
PY  - 2015/06
DA  - 2015/06
TI  - The structure of solution sets of fuzzy relation equations
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  - 28
EP  - 33
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.7
DO  - 10.2991/ifsa-eusflat-15.2015.7
ID  - Qu2015/06
ER  -