Lattice character of the refinement structure of Hedge Algebras

Nguyễn Cát Hồ, Huỳnh Văn Nam

Abstract


Hedge Algebras were  introduced in order to model the natural structure of domains of linguistic variables. In [7], we introduced a refinement structure of Hedge Algebras (RSHA, for short), and some fundamental properties of this structure were examined. In this paper, the main property of the RSHA is given, and it is also shown that many linguistic values, which contain the disjunction and conjunction, can be  expressed in the RSHA.

Keywords: PN-consistent hedge algebras, refinement structure of hedge algebras, linguistic valued logic,  linguistic reasoning.




DOI: https://doi.org/10.15625/1813-9663/12/1/8041

Journal of Computer Science and Cybernetics ISSN: 1813-9663

Published by Vietnam Academy of Science and Technology