Linguistic Truth-Valued Concept Lattice Based on Lattice-Valued Logic
- https://doi.org/10.2991/iske.2007.280How to use a DOI?
- Concept lattice, Linguistic truth-valued logic, Galois connection, degree concept
The theory of concept lattice is approached from the view of formal logic. In this paper, we present a new relationship between concept lattice and lattice-valued logic for dealing with uncertainty linguistic information conveniently. We give the definition of degree linguistic truth-valued concept lattice and linguistic many-valued context according to the concrete linguistic information and establish linguistic truth-valued context with the help of lattice implication algebra. On the basis of this, we discuss the completeness of the set of degree concepts in accordance with the defined Galois connection and do further research on the properties of degree linguistic truth-valued concept lattice.
- © 2007, 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 - Li Yang AU - Yang Xu PY - 2007/10 DA - 2007/10 TI - Linguistic Truth-Valued Concept Lattice Based on Lattice-Valued Logic BT - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007) PB - Atlantis Press SP - 1633 EP - 1637 SN - 1951-6851 UR - https://doi.org/10.2991/iske.2007.280 DO - https://doi.org/10.2991/iske.2007.280 ID - Yang2007/10 ER -