Irreducible elements in multi-adjoint concept lattices
- https://doi.org/10.2991/eusflat.2013.18How to use a DOI?
- Formal concept analysis Fuzzy sets Attribute reduction
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.
- © 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/).
Cite this article
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 - https://doi.org/10.2991/eusflat.2013.18 ID - Medina-Moreno2013/08 ER -