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http://dx.doi.org/10.22156/CS4SMB.2019.9.5.007

On Multipliers of Lattice Implication Algebras for Hierarchical Convergence Models  

Kim, Kyoum-Sun (Department of Mathematics, Chungbuk National University)
Jeong, Yoon-Su (Division of Information and Communication Convergence Engineering, Mokwon University)
Yon, Yong-Ho (College of Liberal Education, Mokwon University)
Publication Information
Journal of Convergence for Information Technology / v.9, no.5, 2019 , pp. 7-13 More about this Journal
Abstract
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 $[u^{\prime},1]$ for each $u{\in}L$ and that L is isomorphic to $[u,1]{\times}[u^{\prime},1]$ as lattice implication algebras for each $u{\in}L$ satisfying $u{\vee}u^{\prime}=1$.
Keywords
Lattice implication algebras; Multipliers; Simple multipliers; Role-based access control; Attribute-based access control;
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Times Cited By KSCI : 2  (Citation Analysis)
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