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

The structure of solution sets of fuzzy relation equations

Authors
Xiaobing Qu, Feng Sun, Tianfei Wang, Qingquan Xiong
Corresponding Author
Xiaobing Qu
Available Online June 2015.
DOI
https://doi.org/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.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

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  - 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.7
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.7
ID  - Qu2015/06
ER  -