On Multipliers of Lattice Implication Algebras for Hierarchical Convergence Models
Kyoum-Sun Kim, Yoon-Su Jeong, Yong-Ho Yon · Journal of Convergence Information Technology · 2019
Role-based access or attribute-based access control in cloud environment or big data environment need requires a suitable mathematical structure to represent a hierarchical model. This paper define the notion of multipliers and simple multipliers of lattice implication algebras that can implement a hierarchical model of role-based or attribute-based access control, and prove every multiplier is simple multiplier. Also we research the relationship between multipliers and homomorphisms of a lattice implication algebra L, and prove that the lattice [0,u] is isomorphic to a lattice [u',1] for each u∈L and u∨u'=1. that is isomorphic to [u,1]X[u',1]as lattice implication algebras for each u∈L satisfying u∨u'=1 .