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A '''Binary Matrix Model''' is a binary matrix and three associations (indicated by colons), i.e. <br> | A '''Binary Matrix Model''' is a binary matrix and three associations (indicated by colons), i.e. <br> | ||
M = { N, V: I<sub>s</sub>, H: I<sub>t</sub>, ''R̂'': ''R'' } | |||
N: | N: a binary matrix | ||
V: a set of contextual elements associated in a one-to-one manner with the vertical index | 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 | 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, | I: a contextual relation associated with the binary relation induced on I, xI, by N. | ||
The set V is called the vertical index set of the model, and H is its horizontal index set. | |||
called the vertical index set of the model, and H is its horizontal index set. | |||
The contextual relation I is called | The contextual relation I is called the model relation, and the matrix N is called the model | ||
the model relation, and the matrix N is called the model | |||
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. | ||