Multi-adjoint t-concept lattices

作者：Medina J; Ojeda Aciego M^*

来源：Information Sciences, 2010, 180(5): 712-725.

DOI：10.1016/j.ins.2009.11.018

• Concept lattice
• Multi-adjoint lattice
• Implication triple
• Galois connection

The t-concept lattice is introduced as a set of triples associated to graded tabular information interpreted in a non-commutative fuzzy logic. Following the general techniques of formal concept analysis, and based on the works by Georgescu and Popescu, given a non-commutative conjunctor it is possible to provide generalizations of the mappings for the intension and the extension in two different ways, and this generates a pair of concept lattices. In this paper, we show that the information common to both concept lattices can be seen as a sublattice of the Cartesian product of both concept lattices. The multi-adjoint framework can be applied to this general t-concept lattice, and its usefulness is illustrated by a working example.

• 出版日期2010-3-1