Solvability of Fuzzy Relational Equations Employing Undefined Values

DOI

10.2991/eusflat-19.2019.34How to use a DOI?

Keywords

Fuzzy relational equations Undefined values Partial fuzzy logics

Abstract

The paper aims at studying the solvability of fuzzy relational equations where the input fuzzy sets may have undefined values. The appropriate operations dealing undefined values are taken from the algebras built in partial fuzzy logic, in particular, the Bochvar operations, Sobocinski operations, Kleene operations and the lower estimation operations are used for the investigation. We first elaborate the new models using distinct operations handling undefined values and mirroring the shapes of the implicative model and Mamdani-Assilian model. Then the solvability criterions for such new systems of fuzzy relational equations are set up, and consequently, we show a way of checking whether the systems are solvable or not.

Copyright

© 2019, 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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TY  - CONF
AU  - Nhung Cao
PY  - 2019/08
DA  - 2019/08
TI  - Solvability of Fuzzy Relational Equations Employing Undefined Values
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 227
EP  - 234
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.34
DO  - 10.2991/eusflat-19.2019.34
ID  - Cao2019/08
ER  -