Measuring sensitivity of a factor in a decision
First Claim
Patent Images
1. An apparatus comprising:
- an analytic network process (ANP) storage memory that stores an ANP weighted supermatrix representing an ANP model; and
a processor in communication with the ANP storage memory, the processor being configured to facilitatechanging priorities of a node in the ANP weighted supermatrix to be more important, and changing priorities of the node in the ANP weighted supermatrix to be less important;
assessing a sensitivity of the node itself which was changed relative to the ANP model; and
maintaining a same proportionality in the ANP weighted supermatrix for the changing of the priorities and the assessing of the relative sensitivity,wherein the sensitivity of the node itself is assessed by changing, by a same predetermined amount, each entry throughout a same row of the node of the ANP weighted supermatrix and consequently rescaling the rest of the entries in a column of the ANP weighted supermatrix that corresponds to the node being assessed,the changing comprising, for all 0≦
p≦
1, defining FW,r,p0(p) by changing the rth row and then rescaling the remaining entries in the columns so that the columns continue to add to one;
rescaling to be less important comprising, for 0≦
p≦
p0, changing the rth row by scaling it by
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Abstract
An analytic network process (ANP) storage memory stores an ANP weighted supermatrix representing an ANP model. A processor is in communication with the ANP storage memory. The processor is configured to change priorities of a node in the ANP weighted supermatrix to be more important, to change priorities of the node in the ANP weighted supermatrix to be less important, and to assess a sensitivity of the node which was changed relative to the ANP model. The processor further is configured to maintain a same proportionality in the ANP weighted supermatrix for the changing of the priorities and the assessing of the relative sensitivity.
52 Citations
18 Claims
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1. An apparatus comprising:
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an analytic network process (ANP) storage memory that stores an ANP weighted supermatrix representing an ANP model; and a processor in communication with the ANP storage memory, the processor being configured to facilitate changing priorities of a node in the ANP weighted supermatrix to be more important, and changing priorities of the node in the ANP weighted supermatrix to be less important; assessing a sensitivity of the node itself which was changed relative to the ANP model; and maintaining a same proportionality in the ANP weighted supermatrix for the changing of the priorities and the assessing of the relative sensitivity, wherein the sensitivity of the node itself is assessed by changing, by a same predetermined amount, each entry throughout a same row of the node of the ANP weighted supermatrix and consequently rescaling the rest of the entries in a column of the ANP weighted supermatrix that corresponds to the node being assessed, the changing comprising, for all 0≦
p≦
1, defining FW,r,p0 (p) by changing the rth row and then rescaling the remaining entries in the columns so that the columns continue to add to one;rescaling to be less important comprising, for 0≦
p≦
p0, changing the rth row by scaling it by - View Dependent Claims (2, 3, 5, 6)
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4. An apparatus comprising:
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an analytic network process (ANP) storage memory that stores an ANP weighted supermatrix representing an ANP model; and a processor in communication with the ANP storage memory, the processor being configured to facilitate changing priorities of a node in the ANP weighted supermatrix to be more important, and changing priorities of the node in the ANP weighted supermatrix to be less important; assessing a sensitivity of the node itself which was changed relative to the ANP model; and maintaining a same proportionality in the ANP weighted supermatrix for the changing of the priorities and the assessing of the relative sensitivity, wherein the sensitivity of the node itself is assessed by changing, by a same predetermined amount, each entry throughout a same row of the node of the ANP weighted supermatrix and consequently rescaling the rest of the entries in a column of the ANP weighted supermatrix that corresponds to the node being assessed, the changing to be less important comprising, when 0≦
p≦
p0, defining FW,r,p0 (p) by scaling the rth row by
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7. A method, comprising:
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storing, in an analytic network process (ANP) storage memory, an ANP weighted supermatrix representing an ANP model; in a processor in communication with the ANP storage memory, changing priorities of a node in the ANP weighted supermatrix to be more important; assessing a sensitivity of the node itself which was changed relative to the ANP model; and maintaining a same proportionality in the ANP weighted supermatrix for the changing of the priorities and the assessing of the relative sensitivity, wherein the sensitivity of the node itself is assessed by changing, by a same predetermined amount, each entry throughout a same row of the node of the ANP weighted supermatrix and consequently rescaling the rest of the entries in a column of the ANP weighted supermatrix that corresponds to the node being assessed, the changing comprising, for all 0≦
p≦
1, defining FW,r,p0 (p) by changing the rth row and then rescaling the remaining entries in the columns so that the columns continue to add to one;rescaling to be more important comprising, for p0≦
p≦
1, changing the entries in the rth row consistent with the following formula
f(p)=FW,r,p0 (p)r,j=1−
α
(1−
Wr,j)where - View Dependent Claims (8, 9, 11, 12)
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10. A method, comprising:
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storing, in an analytic network process (ANP) storage memory, an ANP weighted supermatrix representing an ANP model; in a processor in communication with the ANP storage memory, changing priorities of a node in the ANP weighted supermatrix to be more important; assessing a sensitivity of the node itself which was changed relative to the ANP model; and maintaining a same proportionality in the ANP weighted supermatrix for the changing of the priorities and the assessing of the relative sensitivity, wherein the sensitivity of the node itself is assessed by changing, by a same predetermined amount, each entry throughout a same row of the node of the ANP weighted supermatrix and consequently rescaling the rest of the entries in a column of the ANP weighted supermatrix that corresponds to the node being assessed, the changing to be more important comprising, when p0≦
p≦
1, defining FW,r,p0 (p) by leaving alone columns of W for which Wr,i=0 and scaling all entries in the other columns, except for the entry in the rth row, by
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13. A non-transitory computer-readable storage medium encoded with a computer executable instructions, wherein execution of said computer executable instructions by one or more processors causes a computer to perform the steps of:
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storing, in an analytic network process (ANP) storage memory, an ANP weighted supermatrix representing an ANP model; changing priorities of a node in the ANP weighted supermatrix to be less important; assessing a sensitivity of the node itself which was changed relative to the ANP model; and maintaining a same proportionality in the ANP weighted supermatrix for the changing of the priorities and the assessing of the relative sensitivity, wherein the sensitivity of the node itself is assessed by changing, by a same predetermined amount, each entry throughout a same row of the node of the ANP weighted supermatrix and consequently rescaling the rest of the entries in a column of the ANP weighted supermatrix that corresponds to the node being assessed, further comprising changing the priorities of the node to be more important, the changing comprising, for all 0≦
p≦
1, defining FW,r,p0 (p) by changing the rth row and then rescaling the remaining entries in the columns so that the columns continue to add to one;rescaling to be less important comprising, for 0≦
p≦
p0, changing the rth row by scaling it by - View Dependent Claims (14, 15, 17, 18)
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16. A non-transitory computer-readable storage medium encoded with a computer executable instructions, wherein execution of said computer executable instructions by one or more processors causes a computer to perform the steps of:
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storing, in an analytic network process (ANP) storage memory, an ANP weighted supermatrix representing an ANP model; changing priorities of a node in the ANP weighted supermatrix to be less important; assessing a sensitivity of the node itself which was changed relative to the ANP model; and maintaining a same proportionality in the ANP weighted supermatrix for the changing of the priorities and the assessing of the relative sensitivity, wherein the sensitivity of the node itself is assessed by changing, by a same predetermined amount, each entry throughout a same row of the node of the ANP weighted supermatrix and consequently rescaling the rest of the entries in a column of the ANP weighted supermatrix that corresponds to the node being assessed, the changing to be less important comprising, when 0≦
p≦
p0, defining FW,r,p0 (p) by scaling the rth row by
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Specification