Measuring change distance of a factor in a decision
First Claim
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 facilitatefixing each one of plural nodes one at a time in the ANP model and measuring a row sensitivity of each one of the plural nodes as it is fixed, the row sensitivity being measured using one or both of (i) a predetermined increase value and (ii) a predetermined decrease value;
scoring how much synthesized alternatives scores found by doing ANP row sensitivity on each of the plural fixed nodes change from original values thereof, to generate a value indicating a change distance for each one of the plural nodes;
maintaining a same proportionality in the stored ANP weighted supermatrix as the fixed node is changed by the one or both of the predetermined increase and decrease values; and
utilizing a weighted average of different metrique calculations of the alternative scores on the space where a metrique is defined according to;
x=(x1, x2, . . . , xn) y=(y1, y2, . . . , yn)are two vectors in Rn′
, whereRn is real n-space with the ANP model,xi is a starting alternative score for alternative i, and yi is an ending alternative score for the alternative i, andd;
Rn×
Rn→
R a continuous function is a metrique calculation iff for all x,yε
Rn
d(x,y)≧
0, and
d(x,x)=0.
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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 fixes each one of plural nodes one at a time in the ANP model and measures a row sensitivity of each of the nodes as it is fixed, the row sensitivity being measured using one or both of (i) a predetermined increase value and (ii) a predetermined decrease value. Also, it scores how much synthesized alternatives scores found by doing ANP row sensitivity on each of the fixed nodes change from original values thereof, to generate a value indicating a change distance for each of the nodes. A same proportionality is maintained in the stored ANP weighted supermatrix as the fixed node is changed by the predetermined increase and/or decrease values.
53 Citations
18 Claims
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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 facilitate fixing each one of plural nodes one at a time in the ANP model and measuring a row sensitivity of each one of the plural nodes as it is fixed, the row sensitivity being measured using one or both of (i) a predetermined increase value and (ii) a predetermined decrease value; scoring how much synthesized alternatives scores found by doing ANP row sensitivity on each of the plural fixed nodes change from original values thereof, to generate a value indicating a change distance for each one of the plural nodes; maintaining a same proportionality in the stored ANP weighted supermatrix as the fixed node is changed by the one or both of the predetermined increase and decrease values; and utilizing a weighted average of different metrique calculations of the alternative scores on the space where a metrique is defined according to;
x=(x1, x2, . . . , xn) y=(y1, y2, . . . , yn)are two vectors in Rn′
, whereRn is real n-space with the ANP model, xi is a starting alternative score for alternative i, and yi is an ending alternative score for the alternative i, and d;
Rn×
Rn→
R a continuous function is a metrique calculation iff for all x,yε
Rn
d(x,y)≧
0, and
d(x,x)=0. - View Dependent Claims (2, 3, 4, 5, 6)
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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, storing, in an analytic network process (ANP) storage memory, an ANP weighted supermatrix representing an ANP model; fixing each one of plural nodes one at a time in the ANP model and measuring a row sensitivity of each one of the plural nodes as it is fixed, the row sensitivity being measured using one or both of (i) a predetermined increase value and (ii) a predetermined decrease value; scoring how much synthesized alternatives scores found by doing ANP row sensitivity on each of the plural fixed nodes changes from original values thereof, to generate a value indicating a change distance for each one of the plural nodes; maintaining a same proportionality in the stored ANP weighted supermatrix as the fixed node is changed by the one or both of the predetermined increase and decrease values and utilizing a weighted average of different metrique calculations of the alternative scores on the space Rn, where a metrique is defined according to;
x=(x1, x2, . . . , xn) y=(y1, y2, . . . , yn)are two vectors in Rn′
, whereRn is real n-space with the ANP model, xi is a starting alternative score for alternative i, yi is an ending alternative score for the alternative i, and d;
Rn×
Rn→
R a continuous function is a metrique calculation iff for all x, yε
Rn
d(x,y)≧
0, and
d(x,x)=0. - View Dependent Claims (8, 9, 10, 11, 12)
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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; fixing each one of plural nodes one at a time in the ANP model and measuring a row sensitivity of each one of the plural nodes as it is fixed, the row sensitivity being measured using one or both of (i) a predetermined increase value and (ii) a predetermined decrease value; scoring how much synthesized alternatives scores found by doing ANP row sensitivity on each of the plural fixed nodes changes from original values thereof, to generate a value indicating a change distance for each one of the plural nodes; maintaining a same proportionality in the stored ANP weighted supermatrix as the fixed node is changed by the one or both of the predetermined increase and decrease values; and utilizing a weighted average of different metrique calculations of the alternative scores on the space Rn, where a metrique is defined according to;
x=(x1, x2, . . . , xn) y=(y1, y2, . . . , yn)are two vectors in Rn′
, whereRn is real n-space with the ANP model, xi is a starting alternative score for alternative i, yi is an ending alternative score for the alternative i, and d;
Rn×
Rn→
R a continuous function is a metrique calculation iff for all x, yε
Rn
d(x,y)≧
0, and
d(x,x)=0. - View Dependent Claims (14, 15, 16, 17, 18)
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Specification