Research Article

Quasilattices and complex concept analysis

Published in: Quaestiones Mathematicae
Volume 47 , issue 1 , 2024 , pages: 173–200

DOI: 10.2989/16073606.2023.2205034

Author(s): G.N. Nop Iowa State University, USA , J.D.H. Smith Iowa State University, USA

Keywords: 06B75 , 06A15 , 68P05 , Lattice , quasilattice , complex system , historical science , formal concept analysis

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Abstract

Quasilattices are algebraic structures that comprise a semilattice-ordered system of lattices. In this paper, certain quasilattices (that are characterized abstractly by a local completeness property) provide an extension of Wille's concept analysis to the study of complex systems that function on a number of distinct levels. In an important special case, a chain semilattice serves to represent a time series governing the evolution of a single system.

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