Binary Matrices in System Modeling

A tutorial paper which conducts the reader through the use of transitive relationships when constructing binary matrices which are the bases of structural models. Includes decomposition methods, feedback loops in a matrix format and partitioning of the matrix on the basis of supplied data entries.  To view the full copyrighted abstract written in Warfield's own words please use the DOI link given above. 

LIST OF FIGURES AND TABLES

Fig. 1. Graph of matrix in (3).

Fig. 2. Directions added to graph.

Fig. 3. Matrix partition.

Fig. 4. Constituents, internal connections within constituents, and interconnections between constituents.

Fig. 5. Hierarchical display of constituents.

Fig. 6. Matrix partition.

Fig. 7. Matrix for example.

TABLES  1 TO 6, SHOWING IN EACH: Reachability, Antecedent, Set Product

Fig. 8. Rearrangement of matrix of Fig. I

Fig. 9. Minimum edge representation of constituent by circle.

Fig. 10. Digraph of matrix.

Fig. 11. Semidecomposition of transitive matrix

Fig. 12. Partitioning unfilled matrix on one element.

(r.w. 12/31/2017)

 

Additional Info

  • Category: Interpretive Structural Modeling (ISM), Mathematics of Modeling
  • Size: 45 leaves
  • Type: Article
Read 130 times Last modified on Sunday, 31 December 2017 20:47

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