On the solutions of L-fuzzy relational equations with sub-triangle composition and its relation with the L-Fuzzy Concept Theory

DOI

10.2991/eusflat.2011.96How to use a DOI?

Keywords

Fuzzy relational equations, L-fuzzy tolerances, Formal Concept Analysis, L-fuzzy Concept Theory.

Abstract

Given a Brouwerian complete lattice (L, ) and two referential sets K and E, and using a fuzzy relation R LE×E which is reflexive and symmetric, certain fuzzy relations H LK×E are characterized as solutions of X R = X. These solutions H can be determinated by means of the L-fuzzy concepts associated with the K-labeled L-fuzzy context (L, K, E, E, R).

Copyright

© 2011, 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  - Cristina Alcalde
AU  - Anna Burusco
AU  - Ramon Fuentes-González
PY  - 2011/08
DA  - 2011/08
TI  - On the solutions of L-fuzzy relational equations with sub-triangle composition and its relation with the L-Fuzzy Concept Theory
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 986
EP  - 991
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.96
DO  - 10.2991/eusflat.2011.96
ID  - Alcalde2011/08
ER  -