Author(s)

Vladimir Leontiev¹, Garib Movsisyan^2*, Zhirayr Margaryan³

¹Moscow State University, Moscow, Russia.
²BIT Group, Moscow, Russia.
³Yerevan State University, Yerevan, Armenia.

In the present paper, geometry of the Boolean space Bⁿ in terms of Hausdorff distances between subsets and subset sums is investigated. The main results are the algebraic and analytical expressions for representing of classical figures in Bⁿ and the functions of distances between them. In particular, equations in sets are considered and their interpretations in combinatory terms are given.

Equations on Sets, Hausdorff Distance, Hamming Distance, Generating Function, Minkowski Sum, Sum of Sets

Leontiev, V. , Movsisyan, G. and Margaryan, Z. (2016) Algebra and Geometry of Sets in Boolean Space. Open Journal of Discrete Mathematics, 6, 25-40. doi: 10.4236/ojdm.2016.62004.