Irreducible elements in multi-adjoint concept lattices

DOI

10.2991/eusflat.2013.18How to use a DOI?

Keywords

Formal concept analysis Fuzzy sets Attribute reduction

Abstract

The irreducible elements in a lattice are very important. For example, when the lattice is finite, which is the usual in the computational case, they form a base from which the complete lattice is obtained. These elements are also important in Formal Concept Analysis, since they are the basic information of a relational system. B. Ganter and R. Wille considered the irreducible elements of a concept lattice and introduced an algorithm to obtain the complete lattice from these elements. This paper presents, in the general fuzzy framework of multi-adjoint concept lattices, the irreducible elements and so the base information given in a general relational system. Moreover, an algorithm can be obtained to build the whole concept lattice.

Copyright

© 2013, 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  - Jesús Medina-Moreno
AU  - Maria Eugenia Cornejo
AU  - Eloisa Ramírez
PY  - 2013/08
DA  - 2013/08
TI  - Irreducible elements in multi-adjoint concept lattices
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 125
EP  - 131
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.18
DO  - 10.2991/eusflat.2013.18
ID  - Medina-Moreno2013/08
ER  -