Using concept lattice theory to obtain the set of solutions of multi-adjoint relation equations

Authors:
Juan Carlos Díaz-Moreno;Jesús Medina
Affiliations:
-;-
Venue:
Information Sciences: an International Journal
Year:
2014

Citing 18
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Abstract

An important goal in the fuzzy relation equations framework is to obtain the whole set of solutions. This paper introduces algebraic properties in the multi-adjoint concept lattice setting. Moreover, using the relationship between these concept lattices and multi-adjoint relation equations, the complete set of solutions of these general equations is characterized and computed, avoiding the necessity of considering minimal solutions.