Measuring marginal influence of a factor in a decision
First Claim
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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 facilitatemeasuring an instantaneous rate of change of alternative scores with respect to a fixed node of the ANP model, to determine a marginal influence of the fixed node; and
maintaining a same proportionality in the stored ANP weighted supermatrix as an importance of the fixed node is changed to measure the instantaneous rate of change,the marginal influence being determined consistent with at least one of the formulas;
an upper marginal influence of node r on alternative i is
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Abstract
An apparatus includes 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 is configured to facilitate measuring an instantaneous rate of change of alternative scores with respect to a fixed node of the ANP model, to determine a marginal influence of the fixed node. Also, the processor is configured to facilitate maintaining a same proportionality in the stored ANP weighted supermatrix as an importance of the fixed node is changed to measure the instantaneous rate of change.
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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 measuring an instantaneous rate of change of alternative scores with respect to a fixed node of the ANP model, to determine a marginal influence of the fixed node; and maintaining a same proportionality in the stored ANP weighted supermatrix as an importance of the fixed node is changed to measure the instantaneous rate of change, the marginal influence being determined consistent with at least one of the formulas; an upper marginal influence of node r on alternative i is - 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, measuring an instantaneous rate of change of alternative scores with respect to a fixed node of the ANP model, to determine a marginal influence of the fixed node; and maintaining a same proportionality in the stored ANP weighted supermatrix as an importance of the fixed node is changed to measure the instantaneous rate of change, the marginal influence being measured consistently with at least one of the formulas; an upper marginal influence of node r on alternative i is - 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; measuring an instantaneous rate of change of alternative scores with respect to a fixed node of the ANP model, to determine a marginal influence of the fixed node; and maintaining a same proportionality in the stored ANP weighted supermatrix as an importance of the fixed node is changed to measure the instantaneous rate of change, the marginal influence being measured consistently with at least one of the formulas; an upper marginal influence of node r on alternative i is - View Dependent Claims (14, 15, 16, 17, 18)
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Specification