1973/03/01 by John N. Warfield, John Warfield · 139 citations
Business, Management and Accounting · Mathematics · #Algebra over a field #Computer science #Element (criminal law) #Epistemology #Hierarchy #Linguistics #Mathematics #Matrix (chemical analysis) #Optics and Image Analysis #Programming language #Pure mathematics #Rationalization (economics) #Set (abstract data type) #Subordination (linguistics) #Theoretical computer science
paper · doi:10.1109/tsmc.1973.5408493
published in IEEE Transactions on Systems Man and Cybernetics SMC-3(2), 121-132 (Institute of Electrical and Electronics Engineers)
openalex publication_date 1973/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25
Hierarchies are fundamental in the study of many kinds of complex systems. Methods are presented that assist in the development of a hierarchy or a set of hierarchies. Once the element set and the relations among the elements are established, the rationalizing procedure presented allows computer determination of how many separate hierarchies are represented by the relations among the elements. An example of the rationalization process is given. Two methods-the element method and the level method-are given for developing a hierarchy for a connected subordination matrix. Each method is illustrated with an example.