Linguistic Truth-Valued Concept Lattice Based on Lattice-Valued Logic

DOI

10.2991/iske.2007.280How to use a DOI?

Keywords

Concept lattice, Linguistic truth-valued logic, Galois connection, degree concept

Abstract

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.

Copyright

© 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/).

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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  - 10.2991/iske.2007.280
ID  - Yang2007/10
ER  -