Binary Matrix Model: Difference between revisions

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matrix. Also, N may often be given a specific name for a
matrix. Also, N may often be given a specific name for a
specific kind of binary-matrix model.
specific kind of binary-matrix model.
Warfield, J. N. (1976). Implication structures for system interconnection matrices. IEEE Transactions on Systems, Man, and Cybernetics, (1), 18-24.
https://en.wikipedia.org/wiki/Logical_matrix

Revision as of 09:46, 18 January 2022

A Binary Matrix Model is a binary matrix and three associations (indicated by colons), i.e.
M = { N, V: Is, H: It, RĖ‚: R } |ref


N: abinarymatrix V: a set of contextual elements associated in a one-to-one manner with the vertical index set Is of N, H is a set of contextual elements associated in a one-to-one manner with the horizontal index set I, of N

I: a contextual relation associated with the binary relation induced on I,xI,byN.

ThesetVis called the vertical index set of the model, and H is its horizontal index set.

The contextual relation I is called the model relation, and the matrix N is called the model matrix. Also, N may often be given a specific name for a specific kind of binary-matrix model.


Warfield, J. N. (1976). Implication structures for system interconnection matrices. IEEE Transactions on Systems, Man, and Cybernetics, (1), 18-24. https://en.wikipedia.org/wiki/Logical_matrix