Method and system for connecting analytic network process model (ANP) with feedback throughout the ANP model between sub-networks
First Claim
1. A computer-implemented system for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, comprising:
- a memory configured to store an ANP control structure; and
a processor cooperatively operable with the memory, the processor configured to;
store, in the memory, the ANP control structure with feedback throughout the ANP control structure;
perform a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial; and
store, in the stored ANP control structure, subnetworks according to ANP theory, one of the subnetworks being attached to a node-to-cluster connection in the ANP control structure instead of being attached to the node itself,the non-trivial values when the result is proper being when non-zero ANP alternatives of invert and add, or positives minus negatives, are under costs or risks in the ANP control structure using a subtraction formula.
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Abstract
A computer-implemented system is provided for an analytic network process (ANP) control structure with feedback throughout the ANP control structure. The computer-implemented system includes an ANP control structure storage unit that stores an ANP control structure with feedback throughout the ANP control structure. Also included is a synthesizer that performs a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial. Also disclosed is a computer-implemented method for an analytic network process (ANP) control structure with feedback through the ANP control structure, and a related computer-readable storage medium encoded with a computer program.
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Citations
25 Claims
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1. A computer-implemented system for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, comprising:
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a memory configured to store an ANP control structure; and a processor cooperatively operable with the memory, the processor configured to; store, in the memory, the ANP control structure with feedback throughout the ANP control structure; perform a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial; and store, in the stored ANP control structure, subnetworks according to ANP theory, one of the subnetworks being attached to a node-to-cluster connection in the ANP control structure instead of being attached to the node itself, the non-trivial values when the result is proper being when non-zero ANP alternatives of invert and add, or positives minus negatives, are under costs or risks in the ANP control structure using a subtraction formula. - View Dependent Claims (2, 3, 4, 5)
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6. A computer-implemented system for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, comprising:
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an ANP control structure storage unit that stores an ANP control structure with feedback throughout the ANP control structure; a synthesizer that performs a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial; an input unit configured to input, from an input device, pairwise comparisons for pairs of ANP alternatives into the stored ANP control structure representing, the pairwise comparisons representing a user'"'"'s judgment of priority between the ANP alternatives in the pair; and an output unit configured to output, for a display to a user, more than two contiguous levels of the ANP control structure with feedback, the stored ANP control structure being configured to include subnetworks according to ANP theory, one of the subnetworks being attached to a node-to-cluster connection in the ANP control structure stored in the ANP control structure storage unit instead of being attached to the node itself, the non-trivial values when the result is proper being when (i) non-zero ANP alternatives of invert and add, or positives minus negatives, are under costs or risks in the ANP control structure using a subtraction formula, or (ii) non-0.5 ANP alternatives are under costs or risks in the ANP control structure using a probabilistic formula.
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7. A computer-implemented method for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, comprising:
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storing, in an ANP control structure storage unit, an ANP control structure with feedback throughout the ANP control structure; and performing, in a synthesizer of a computer processor, a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, the stored ANP control structure being configured to include subnetworks according to ANP theory, one of the subnetworks being attached to a node-to-cluster connection in the ANP control structure stored in the ANP control structure storage unit instead of being attached to the node itself, the non-trivial values when the result is proper being when non-zero ANP alternatives of invert and add, or positives minus negatives, are under costs or risks in the ANP control structure using a subtraction formula. - View Dependent Claims (8, 9, 10, 11)
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12. A non-transitory computer-readable storage medium encoded with a computer program for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, wherein execution of said computer program by one or more processors causes said one or more processors to perform the steps of:
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storing, in an ANP control structure storage unit, an ANP control structure with feedback throughout the ANP control structure; and performing, in a synthesizer, a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, the stored ANP control structure being configured to include subnetworks according to ANP theory, one of the subnetworks being attached to a node-to-cluster connection in the ANP control structure stored in the ANP control structure storage unit instead of being attached to the node itself, the non-trivial values when the result is proper being when (i) non-zero ANP alternatives of invert and add, or positives minus negatives, are under costs or risks in the ANP control structure using a subtraction formula. - View Dependent Claims (13, 14, 15, 16)
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17. A computer-implemented system for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, comprising:
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a memory configured to store an ANP control structure; and a processor cooperatively operable with the memory, the processor configured to; store, in the memory, the ANP control structure with feedback throughout the ANP control structure; and perform a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, wherein the BOCR calculation is performed consistent with the following calculation; calculate
rn,c(k+1)as c ranges over clusters in the ANP control structure, consistent with the formula;
rn,c(k+1)=Sn,c(pn,c, {tilde over (m)}c(k))where m is a supermatrix, r is a column, c is an index of a cluster, n is an index of a node, k is an iteration of synthesis, p is a priority vector, and Sn,c is a synthesizer with respect to connection between cluster c and node n.
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18. A computer-implemented system for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, comprising:
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a memory configured to store an ANP control structure; and a processor cooperatively operable with the memory, the processor configured to; store, in the memory, the ANP control structure with feedback throughout the ANP control structure; and perform a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, wherein the BOCR calculation is performed consistent with the following calculation; calculate
rn,c(k+1)as c ranges over clusters in the ANP control structure, wherein; columns of {tilde over (m)}c(k) are found by applying an inverter to each column of mc(k),an ith column being
{tilde over (m)}c,i(k)=In,c,i(mc,i(k))where m is a supermatrix, r is a column, c is an index of a cluster, n is an index of a node, k is an iteration of synthesis, Sn,c is a synthesizer with respect to connection between cluster c and node n, and In,c,I is the inverter formula for criteria i when using synthesizer Sn,c.
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19. A computer-implemented system for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, comprising:
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a memory configured to store an ANP control structure; and a processor cooperatively operable with the memory, the processor configured to; store, in the memory, the ANP control structure with feedback throughout the ANP control structure; and perform a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, wherein the BOCR calculation is performed consistent with at least one of the following calculations; calculate
mn(k+1)=Sc(pc, {tilde over (r)}n(k+1))columns of {tilde over (r)}(k+1) being found by applying an inverter to columns of r(k), the ith column being
{tilde over (r)}n,i(k+1)=Ic,i(rn,i(k+1))where m is a supermatrix r is a column c is an index of a cluster n is an index of a node k is an iteration of synthesis p is a priority vector Sc is a synthesizer with respect to cluster c Ic,i is an inverter formula for cluster i when using synthesizer Sc.
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20. A computer-implemented method for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, comprising:
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storing, in an ANP control structure storage unit, an ANP control structure with feedback throughout the ANP control structure; and performing, in a synthesizer of a computer processor, a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, wherein the BOCR calculation is performed consistent with the following calculation; calculate
rn,c(k+1)as c ranges over clusters in the ANP control structure, consistent with the formula;
rn,c(k+1)=Sn,c(pn,c, {tilde over (m)}c(k))where m is a supermatrix, r is a column, c is an index of a cluster, n is an index of a node, k is an iteration of synthesis, p is a priority vector, and Sn,c is a synthesizer with respect to connection between cluster c and node n.
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21. A computer-implemented method for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, comprising:
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storing, in an ANP control structure storage unit, an ANP control structure with feedback throughout the ANP control structure; and performing, in a synthesizer of a computer processor, a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, wherein the BOCR calculation is performed consistent with the following calculation; calculate
rn,c(k+1)as c ranges over clusters in the ANP control structure, wherein; columns of {tilde over (m)}c(k) are found by applying an inverter to each column of mc(k), an ith column being
{tilde over (m)}c,i(k)=In,c,i(mc,i(k))where m is a supermatrix, r is a column, c is an index of a cluster, n is an index of a node, k is an iteration of synthesis, Sc,n is a synthesizer with respect to connection between cluster c and node n, and In,c,I is the inverter formula for criteria i when using synthesizer Sn,c.
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22. A computer-implemented method for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, comprising:
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storing, in an ANP control structure storage unit, an ANP control structure with feedback throughout the ANP control structure; and performing, in a synthesizer of a computer processor, a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, wherein the BOCR calculation is performed consistent with at least one of the following calculations; calculate
mn(k+1)=Sc(pc, {tilde over (r)}n(k+1))columns of {tilde over (r)}(k+1) being found by applying an inverter to columns of r(k), the ith column being
{tilde over (r)}n,i(k+1)Ic,i(rn,i(k+1))where m is a supermatrix r is a column c is an index of a cluster n is an index of a node k is an iteration of synthesis p is a priority vector Sc is a synthesizer with respect to cluster c Ic,i is an inverter formula for cluster i when using synthesizer Sc.
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23. A non-transitory computer-readable storage medium encoded with a computer program for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, wherein execution of said computer program by one or more processors causes said one or more processors to perform the steps of:
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storing, in an ANP control structure storage unit, an ANP control structure with feedback throughout the ANP control structure; and performing, in a synthesizer, a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, wherein the BOCR calculation is performed consistent with the following calculation; calculate
rn,c(k+1)as c ranges over clusters in the ANP control structure, consistent with the formula;
rn,c(k+1)Sn,c(pn,c{tilde over (m)}c(k))where m is a supermatrix, r is a column, c is an index of a cluster, n is an index of a node, k is an iteration of synthesis, p is a priority vector, and Sn,c is a synthesizer with respect to connection between cluster c and node n.
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24. A non-transitory computer-readable storage medium encoded with a computer program for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, wherein execution of said computer program by one or more processors causes said one or more processors to perform the steps of:
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storing, in an ANP control structure storage unit, an ANP control structure with feedback throughout the ANP control structure; and performing, in a synthesizer, a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, wherein the BOCR calculation is performed consistent with the following calculation; calculate
rn,c(k +1)as c ranges over clusters in the ANP control structure, wherein; columns of {tilde over (m)}c(k) are found by applying an inverter to each column of mc(k), an ith column being
{tilde over (m)}c,i(k)=In,c,i(mc,i(k))where m is a supermatrix, r is a column, c is an index of a cluster, n is an index of a node, k is an iteration of synthesis, Sn,c is a synthesizer with respect to connection between cluster c and node n, and In,c,I is the inverter formula for criteria i when using synthesizer Sn,c.
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25. A non-transitory computer-readable storage medium encoded with a computer program for an analytic network process (ANP) control structure with feedback throughout the ANP control structure, wherein execution of said computer program by one or more processors causes said one or more processors to perform the steps of:
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storing, in an ANP control structure storage unit, an ANP control structure with feedback throughout the ANP control structure; and performing, in a synthesizer, a BOCR calculation on the ANP control structure with feedback throughout the ANP control structure, to yield a result which is proper according to ANP theory when values are non-trivial, wherein the BOCR calculation is performed consistent with at least one of the following calculations; calculate
mn(k+1)=Sc(i pc, {tilde over (r)}n( k+1))columns of {tilde over (r)}(k+1) being found by applying an inverter to columns of r(k), the ith column being
{tilde over (r)}n,i(k+1)=Ic,i(rn,i(k+1))where m is a supermatrix r is a column c is an index of a cluster n is an index of a node k is an iteration of synthesis p is a priority vector Sc is a synthesizer with respect to cluster c Ic,i is an inverter formula for cluster i when using synthesizer Sc.
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Specification