# reciprocal matrix

## reciprocal matrix

[ri¦sip·rə·kəl ′mā·triks]
(mathematics)
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Saaty [21] demonstrated that for consistent reciprocal matrix, the largest eigenvalue is equal to the number of comparisons, or [[lambda].
Again, the research in [13,14] proposed to use the index by comparing it with the appropriate random consistency index through picking randomly generated reciprocal matrix using the scale: 1/9, 1/8, .
When a positive reciprocal matrix of order n is consistent, the principal eigenvalue possesses the value n.
It is known that the maximum eigenvalue of the reciprocal matrix of range m is [[lambda].
The consistency degree of the quantitative reciprocal matrix may be determined by comparing the computed consistency index of the evaluation matrix with the consistency index of the randomly generated (within the 1-3-5-7-9 scale) reciprocal matrix of the same range.
3) Measurement consistency It is necessary to measure the level of consistency of the reciprocal matrix by a consistency index (CI).
Another index, random index (RI), is used to eliminate the influence by the size of the reciprocal matrix.
The reciprocal matrix of each land-use pattern is first constructed by pairwise, vise comparison.
2009) is introduced to revise group decision making matrix to become the positive reciprocal matrix.
k] (1 [less than or equal to] k [less than or equal to] n) is positive reciprocal matrix.
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