CN116663919A - Multi-attribute decision method, system, storage medium and electronic equipment - Google Patents

Multi-attribute decision method, system, storage medium and electronic equipment Download PDF

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CN116663919A
CN116663919A CN202310576979.6A CN202310576979A CN116663919A CN 116663919 A CN116663919 A CN 116663919A CN 202310576979 A CN202310576979 A CN 202310576979A CN 116663919 A CN116663919 A CN 116663919A
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杨依哲
刘兵山
李鑫
贾新建
王功
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Technology and Engineering Center for Space Utilization of CAS
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Abstract

The invention discloses a multi-attribute decision method, a system, a storage medium and electronic equipment, wherein the method comprises the following steps: acquiring a plurality of schemes to be decided; each scheme to be decided comprises a plurality of target attributes; determining the priority of each target attribute; based on the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority, calculating the decision evaluation value of the scheme to be decided until the decision evaluation value of each scheme to be decided is obtained, and determining the scheme to be decided with the highest decision evaluation value as the optimal decision scheme. Under the condition of ensuring that the priority is multi-attribute decision preference, the method improves the rationality and scientificity of evaluating different groups of schemes to be decided by utilizing the total compensation limit quantity corresponding to each priority.

Description

Multi-attribute decision method, system, storage medium and electronic equipment
Technical Field
The present invention relates to the field of decision optimization technologies, and in particular, to a multi-attribute decision method, a system, a storage medium, and an electronic device.
Background
The multi-attribute decision method is a limited scheme target selection method widely applied in the field of decision optimization, and is an important component of modern decision science. When multiple factors are to be considered among a limited number of alternatives to select the best solution, multi-attribute decisions may be integrated based on decision maker preferences or objective data analysis. The most critical link is the design and use of an aggregation operator, which determines the weight of each attribute factor, and the aggregation operator can be regarded as a rule of decision.
Currently, a decision maker can only determine the priority of an attribute, but cannot participate in determining how much each priority can compensate the previous attribute in comprehensive evaluation, different specific schemes can generate different weights, and the decision maker is unreasonable in comparison of multiple schemes.
Accordingly, there is a need to provide a solution to the above-mentioned problems.
Disclosure of Invention
In order to solve the technical problems, the invention provides a multi-attribute decision method, a system, a storage medium and electronic equipment.
The technical scheme of the multi-attribute decision method is as follows:
acquiring a plurality of schemes to be decided; each scheme to be decided comprises a plurality of target attributes;
determining the priority of each target attribute;
based on the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority, calculating the decision evaluation value of the scheme to be decided until the decision evaluation value of each scheme to be decided is obtained, and determining the scheme to be decided with the highest decision evaluation value as the optimal decision scheme.
The multi-attribute decision method has the following beneficial effects:
under the condition of ensuring that the priority is multi-attribute decision preference, the method of the invention utilizes the total compensation limit quantity corresponding to each priority to improve the rationality and scientificity of evaluating different groups of schemes to be decided.
Based on the scheme, the multi-attribute decision method can be improved as follows.
Further, the method further comprises the following steps:
based on a total compensation limit calculation formula, acquiring a total compensation limit corresponding to any priority according to an attribute value of each target attribute of each scheme to be decided until the total compensation limit corresponding to each priority is obtained; the total compensation limit amount calculation formula is as follows: TCR (thyristor controlled reactor) k ＝CR 0 ×CR 1 ×...×CR k-1 ；v＝1，2，3，...n k ；f＝1，2，3，...，N；g＝1，2，3，...，N；f≠g，CR 0 ＝1，ρ k E (0, 1), N is the total number of schemes to be decided, N k For the total number of target attributes of the kth priority, e is the difference threshold, ρ k Compensation factor for attribute value of the target attribute of the kth priority for the kth+1th priority, +.>For the maximum absolute value of the difference between the corresponding attribute values of each target attribute at the kth priority for all schemes to be determined, CR k Compensation limit amount for attribute value of target attribute of kth priority to kth priority for kth+1th priority, TCR k The limit is compensated for the total of the k+1th priority.
Further, the step of calculating a decision evaluation value of any to-be-decided scheme based on the attribute value of each target attribute of the to-be-decided scheme and the total compensation limit amount corresponding to each priority, includes:
based on a preset decision evaluation formula, calculating a decision evaluation value of the scheme to be decided according to the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority; the preset decision evaluation formula is as follows:
wherein s=1, 2,3,; x is x s For the s-th scheme to be decided, q is the total number of priorities,for the attribute value of the jth target attribute of the kth priority in the kth scheme to be decided, PCRA (x s ) And the decision evaluation value of the s-th scheme to be decided.
Further, the arbitrary decision-to-be scheme is: and 3D printing a scheme to be decided.
The technical scheme of the multi-attribute decision system is as follows:
comprising the following steps: the device comprises an acquisition module, a processing module and an operation module;
the acquisition module is used for: acquiring a plurality of schemes to be decided; each scheme to be decided comprises a plurality of target attributes;
the processing module is used for: determining the priority of each target attribute;
the operation module is used for: based on the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority, calculating the decision evaluation value of the scheme to be decided until the decision evaluation value of each scheme to be decided is obtained, and determining the scheme to be decided with the highest decision evaluation value as the optimal decision scheme.
The multi-attribute decision system has the following beneficial effects:
under the condition of ensuring that the priority is multi-attribute decision preference, the system of the invention utilizes the total compensation limit quantity corresponding to each priority to improve the rationality and scientificity of evaluating different groups of schemes to be decided.
Based on the scheme, the multi-attribute decision system can be improved as follows.
Further, the method further comprises the following steps: a computing module;
the computing module is used for: based on the total compensation limit calculation formula, and according to the attribute value of each target attribute of each scheme to be decided, obtaining the obtainedThe total compensation limit quantity corresponding to any priority is obtained until the total compensation limit quantity corresponding to each priority is obtained; the total compensation limit amount calculation formula is as follows: TCR (thyristor controlled reactor) k ＝CR 0 ×CR 1 ×...×CR k-1 ；v＝1，2，3，...，n k ；f＝1，2，3，...，N；g＝1，2，3，...，N；f≠g，CR 0 ＝1，ρ k E (0, 1), N is the total number of schemes to be decided, N k For the total number of target attributes of the kth priority, e is the difference threshold, ρ k Compensation factor for attribute value of the target attribute of the kth priority for the kth+1th priority, +.>For the maximum absolute value of the difference between the corresponding attribute values of each target attribute at the kth priority for all schemes to be determined, CR k Compensation limit amount for attribute value of target attribute of kth priority to kth priority for kth+1th priority, TCR k The limit is compensated for the total of the k+1th priority.
Further, the operation module is specifically configured to:
based on a preset decision evaluation formula, calculating a decision evaluation value of the scheme to be decided according to the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority; the preset decision evaluation formula is as follows:
wherein s=1, 2,3,; x is x s For the s-th scheme to be decided, q is the total number of priorities,for the attribute value of the jth target attribute of the kth priority in the kth scheme to be decided, PCRA (x s ) And the decision evaluation value of the s-th scheme to be decided.
Further, the arbitrary decision-to-be scheme is: and 3D printing a scheme to be decided.
The technical scheme of the storage medium is as follows:
the storage medium has instructions stored therein which, when read by a computer, cause the computer to perform the steps of a multi-attribute decision method as in the present invention.
The technical scheme of the electronic equipment is as follows:
comprising a memory, a processor and a program stored on said memory and running on said processor, characterized in that said processor implements the steps of a multi-attribute decision method according to the invention when said program is executed by said processor.
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FIG. 1 is a schematic flow chart of an embodiment of a multi-attribute decision method provided by the present invention;
fig. 2 shows a schematic structural diagram of an embodiment of a multi-attribute decision system provided by the present invention.
Detailed Description
Fig. 1 is a schematic flow chart of an embodiment of a multi-attribute decision method provided by the present invention. As shown in fig. 1, the method comprises the following steps:
step 110: and obtaining a plurality of schemes to be decided.
Wherein (1) each to-be-decided scheme comprises a plurality of target attributes. (2) In this embodiment, the to-be-decided scheme defaults to a 3D printing to-be-decided scheme, and may be a to-be-decided scheme in other fields, which is not limited herein.
It should be noted that, the target attributes included in each to-be-determined scheme are the same, but the attribute values of each target attribute may be different.
Step 120: the priority of each target attribute is determined.
Specifically, for example, the number of target attributes included in any one decision-making scheme is 5, the first target attribute and the second target attribute are determined to be the first priority, the third target attribute and the fourth target attribute are determined to be the second priority, and the fifth target attribute is determined to be the third priority according to the preference of the user.
Step 130: based on the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority, calculating the decision evaluation value of the scheme to be decided until the decision evaluation value of each scheme to be decided is obtained, and determining the scheme to be decided with the highest decision evaluation value as the optimal decision scheme.
Wherein (1) the attribute values of each target attribute for each scheme to be decided are known. (2) Each priority corresponds to a total compensation limit.
Preferably, the method further comprises:
based on the total compensation limit calculation formula, and according to the attribute value of each target attribute of each scheme to be decided, the total compensation limit corresponding to any priority is obtained until the total compensation limit corresponding to each priority is obtained.
The total compensation limit amount calculation formula is as follows: TCR (thyristor controlled reactor) k ＝CR 0 ×CR 1 ×...×CR k-1 ；v＝1，2，3，...n k ；f＝1，2，3，...，N；g＝1，2，3，...，N；f≠g，CR 0 ＝1，ρ k E (0, 1), N is the total number of schemes to be decided, N k For the total number of target attributes of the kth priority, e is the difference threshold, ρ k Compensation factor for attribute value of the target attribute of the kth priority for the kth+1th priority, +.>For the maximum absolute value of the difference between the corresponding attribute values of each target attribute at the kth priority for all schemes to be determined, CR k Compensation limit amount for attribute value of target attribute of kth priority to kth priority for kth+1th priority, TCR k The limit is compensated for the total of the k+1th priority.
Preferably, the step of calculating the decision evaluation value of any to-be-decided scheme based on the attribute value of each target attribute of the to-be-decided scheme and the total compensation limit amount corresponding to each priority comprises:
and calculating a decision evaluation value of the scheme to be decided based on a preset decision evaluation formula according to the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority.
The preset decision evaluation formula is as follows:s＝1，2，3，...，N；x s for the s-th scheme to be decided, q is the total number of priorities, +.>For the attribute value of the jth target attribute of the kth priority in the kth scheme to be decided, PCRA (x s ) And the decision evaluation value of the s-th scheme to be decided.
It should be noted that (1) the total compensation limit amount calculation formula and the preset decision evaluation formula designed by the technical scheme in this embodiment can achieve two objectives: 1) The main objective is to find out the better scheme to be decided which is represented on each attribute; 2) A secondary goal is to find a better to-be-decided solution that the decision maker considers to be performing on the higher priority attribute. In general, the technical solution in this embodiment limits the compensation given by the target attribute with lower priority in the comprehensive evaluation, and solves the problem that the priority average operator participates in the preference of the decision maker and the low-priority compensation. (2) E typically takes a small positive number such as 10 -4 . (3) And when the preset decision evaluation formula is calculated, calculating the weight factors by using all schemes to be decided. Thus, the weights of each stage of each scheme to be decided are the same, and the weights are uniform for decision making. (4) The compensation core of the total compensation limit quantity calculation formula is as follows: the compensation limit of low priority is less than or equal to the maximum difference between the target attributes of all schemes to be decided of the previous priority, and is generally taken as oneIf the difference between the best to-be-decided scheme and the worst to-be-decided scheme of the kth priority is E, the compensation of the worst to-be-decided scheme at the kth+1st priority does not exceed the difference, so that the excessive compensation of the target attribute of the low priority to all the target attributes is avoided, and the to-be-decided scheme which is better in performance on the target attribute with the high priority cannot be obtained. An extreme case: the value of the best scheme on the k+1 layer is 0, then the compensation amount for the worst scheme is: (5) a disadvantage of not contributing to low priority: due to ρ k A positive number less than 1, so that no case in which weights set by no person are equal will occur; if-> The attribute values of all the target attributes of all the schemes to be decided in the priority are almost equal and smaller than the difference threshold epsilon, the difference of the attribute values of the target attributes of all the schemes to be decided in the priority by a decision maker is small and can be ignored, the next stage of the scheme to be decided is multiplied by the corresponding compensation factor to directly compensate the previous stage of the scheme, and the problem that the later priority cannot contribute is avoided.
In order to better explain the technical solution of the embodiment, a 3D printing scheme to be decided is taken as an example for explanation, specifically:
s1, acquiring a plurality of 3D printing schemes to be decided; each 3D printing scheme to be decided comprises a plurality of target attributes; the plurality of target attributes includes: print Accuracy (PA), print Time (PT), nesting area (maximum projected area, LA), and Support Volume (SV).
In 3D printing, it is important to select a construction direction of a printed part, and different construction directions have a critical influence on material cost, printing time, and part accuracy. Thus, for a given set of alternative build directions, it is necessary to comprehensively evaluate the value of these directions. The different construction directions are the 3D printing scheme to be decided in the multi-attribute decision, and the attribute of the scheme is the printing time, the material cost and the like corresponding to one construction direction.
S2, determining the priority of each target attribute.
The priority order of the four target attributes is as follows: PA > PT > LA > SV, and the number of target attributes on each priority is 1.
Based on the attribute value of each target attribute of any 3D printing scheme to be decided and the total compensation limit corresponding to each priority, calculating the decision evaluation value of the 3D printing scheme to be decided until the decision evaluation value of each 3D printing scheme to be decided is obtained, and determining the 3D printing scheme to be decided with the highest decision evaluation value as the optimal 3D printing scheme to be decided.
Specifically, (1) based on a total compensation limit calculation formula, acquiring a total compensation limit corresponding to any priority according to an attribute value of each target attribute of each 3D printing scheme to be decided until the total compensation limit corresponding to each priority is obtained; the total compensation limit amount calculation formula is as follows: TCR (thyristor controlled reactor) k ＝CR 0 ×CR 1 ×...×CR k-1 ；v＝1，2，3，...n k ；f＝1，2，3，...，N；g＝1，2，3，...，N；f≠g，CR 0 ＝1，ρ k E (0, 1), N is the total number of 3D printing decision schemes to be made (here N is 16), N k For the total number of target attributes of the kth priority, e is the difference threshold, ρ k Compensation factor for attribute value of the target attribute of the kth priority for the kth+1th priority, +.>For all 3D printing the maximum absolute value, CR, of the difference between the attribute values corresponding to each target attribute of the decision scheme at the kth priority k Compensation limit amount for attribute value of target attribute of kth priority to kth priority for kth+1th priority, TCR k The limit is compensated for the total of the k+1th priority. (2) Based on a preset decision evaluation formula, calculating a decision evaluation value of the 3D printing scheme to be decided according to the attribute value of each target attribute of any 3D printing scheme to be decided and the total compensation limit corresponding to each priority; the preset decision evaluation formula is as follows: wherein s=1, 2,3,; x is x s Printing the scheme to be decided for the s 3D, q being the total number of priorities (here taken as 4),>printing attribute values of a jth target attribute of a kth priority in a scheme to be decided for an sth 3D, PCRA (x s ) And printing a decision evaluation value of the scheme to be decided for the s 3D. (3) As shown in table 1, table 1 shows attribute values and decision evaluation values of each target of the 16 3D printing schemes to be decided.
Table 1:
the main objective of comprehensive optimization can reflect the comparison of the 3D to-be-decided scheme 8 and the 3D to-be-decided scheme 10, and although the value of the 3D to-be-decided scheme 8 is slightly lower than the 3D to-be-decided scheme 10 in the attributes of the priorities 1 and 3, the value of the other two objective attributes is relatively higher than the 3D to-be-decided scheme 10, so that the value of the 3D to-be-decided scheme 8 is higher than the 3D to-be-decided scheme 10 in the comprehensive value. The priority-based secondary objective may be reflected on the 3D print pending decision scheme 4 and the 3D print pending decision scheme 5. The attribute values of the last two target attributes (LA, SV) of the 3D printing to-be-decided scheme 4 are better than those of the 3D printing to-be-decided scheme 5. However, since the 3D printing to-be-decided scheme 4 falls behind the 3D printing to-be-decided scheme 5 in the attribute values of the two target attributes (PA, PT) having higher priority and the gap is relatively large, the decision evaluation value of the 3D printing to-be-decided scheme 4 is still lower than that of the 3D printing to-be-decided scheme 5.
The present embodiment (1) can find out a solution that is excellent in each target attribute. The largest difference is taken as the limiting quantity of the priority, so that the smaller difference is still opportune to catch up with the attribute of the next stage. Finally, a scheme with better comprehensive properties is obtained. (2) The present embodiment can obtain a relatively excellent scheme that is expressed on a property of which priority is relatively high. If the difference between the evaluation values of the two schemes on the attribute with higher priority is larger, the low priority is limited by the compensation limiting factor, and the follow-up catch-up is difficult, so that the scheme with better performance on the attribute with higher priority can be obtained. (3) The embodiment adopts an operator design form combining subjective preference and objective data, and ensures the rationality and scientificity of evaluation aiming at different groups of schemes to be decided by taking the difference between schemes as a limiting value under the condition of ensuring that the priority is decision preference.
Under the condition of ensuring that the priority is multi-attribute decision preference, the technical scheme of the embodiment utilizes the total compensation limit quantity corresponding to each priority to improve the rationality and scientificity of evaluating different groups of schemes to be decided.
Fig. 2 shows a schematic structural diagram of an embodiment of a multi-attribute decision system provided by the present invention. As shown in fig. 2, the system 200 includes: an acquisition module 210, a processing module 220, and a run module 230.
The obtaining module 210 is configured to: acquiring a plurality of schemes to be decided; each scheme to be decided comprises a plurality of target attributes;
the processing module 220 is configured to: determining the priority of each target attribute;
the operation module 230 is configured to: based on the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority, calculating the decision evaluation value of the scheme to be decided until the decision evaluation value of each scheme to be decided is obtained, and determining the scheme to be decided with the highest decision evaluation value as the optimal decision scheme.
Preferably, the method further comprises: a computing module;
the computing module is used for: based on a total compensation limit calculation formula, acquiring a total compensation limit corresponding to any priority according to an attribute value of each target attribute of each scheme to be decided until the total compensation limit corresponding to each priority is obtained; the total compensation limit amount calculation formula is as follows: TCR (thyristor controlled reactor) k ＝CR 0 ×CR 1 ×...×CR k-1 ；v＝1，2，3，...，n k ；f＝1，2，3，...，N；g＝1，2，3，...，N；f≠g，CR 0 ＝1，ρ k E (0, 1), N is the total number of schemes to be decided, nk is the total number of target attributes of the kth priority, E is the difference threshold, ρ k Compensation factor for attribute value of the target attribute of the kth priority for the kth+1th priority, +.>For the maximum absolute value of the difference between the corresponding attribute values of each target attribute at the kth priority for all schemes to be determined, CR k Compensation limit amount for attribute value of target attribute of kth priority to kth priority for kth+1th priority, TCR k The limit is compensated for the total of the k+1th priority.
Preferably, the operation module 230 is specifically configured to:
based on a preset decision evaluation formula, calculating a decision evaluation value of the scheme to be decided according to the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority; the presettingThe decision evaluation formula is:
wherein s=1, 2,3,; x is x s For the s-th scheme to be decided, q is the total number of priorities,for the attribute value of the jth target attribute of the kth priority in the kth scheme to be decided, PCRA (x s ) And the decision evaluation value of the s-th scheme to be decided.
Preferably, the arbitrary scheme to be decided is: and 3D printing a scheme to be decided.
Under the condition of ensuring that the priority is multi-attribute decision preference, the technical scheme of the embodiment utilizes the total compensation limit quantity corresponding to each priority to improve the rationality and scientificity of evaluating different groups of schemes to be decided.
The steps for implementing the corresponding functions by the parameters and the modules in the multi-attribute decision system 200 according to the present embodiment are referred to the parameters and the steps in the embodiments of the multi-attribute decision method according to the present embodiment, and are not described herein.
The storage medium provided by the embodiment of the invention comprises: the storage medium stores instructions that, when read by a computer, cause the computer to perform steps such as a multi-attribute decision method, and the specific reference may be made to the parameters and steps in the embodiments of a multi-attribute decision method described above, which are not described herein.
Computer storage media such as: flash disk, mobile hard disk, etc.
The electronic device provided in the embodiment of the present invention includes a memory, a processor, and a computer program stored in the memory and capable of running on the processor, where the processor executes the computer program to make the computer execute steps of a multi-attribute decision method, and specific reference may be made to each parameter and step in the embodiment of a multi-attribute decision method described above, which is not described herein.
Those skilled in the art will appreciate that the present invention may be implemented as a method, system, storage medium, and electronic device.
Thus, the invention may be embodied in the form of: either entirely hardware, entirely software (including firmware, resident software, micro-code, etc.), or entirely software, or a combination of hardware and software, referred to herein generally as a "circuit," module "or" system. Furthermore, in some embodiments, the invention may also be embodied in the form of a computer program product in one or more computer-readable media, which contain computer-readable program code. Any combination of one or more computer readable media may be employed. The computer readable medium may be a computer readable signal medium or a computer readable storage medium. The computer readable storage medium can be, for example, but not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or a combination of any of the foregoing. More specific examples (a non-exhaustive list) of the computer-readable storage medium would include the following: an electrical connection having one or more wires, a portable computer diskette, a hard disk, a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing. In this document, a computer readable storage medium may be any tangible medium that can contain, or store a program for use by or in connection with an instruction execution system, apparatus, or device. While embodiments of the present invention have been shown and described above, it will be understood that the above embodiments are illustrative and not to be construed as limiting the invention, and that variations, modifications, alternatives and variations may be made to the above embodiments by one of ordinary skill in the art within the scope of the invention.

Claims (10)

1. A multi-attribute decision method, comprising:
acquiring a plurality of schemes to be decided; each scheme to be decided comprises a plurality of target attributes;
determining the priority of each target attribute;
based on the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority, calculating the decision evaluation value of the scheme to be decided until the decision evaluation value of each scheme to be decided is obtained, and determining the scheme to be decided with the highest decision evaluation value as the optimal decision scheme.
2. The multi-attribute decision method of claim 1, further comprising:
based on a total compensation limit calculation formula, acquiring a total compensation limit corresponding to any priority according to an attribute value of each target attribute of each scheme to be decided until the total compensation limit corresponding to each priority is obtained; the total compensation limit amount calculation formula is as follows: TCR (thyristor controlled reactor) k ＝CR 0 ×CR 1 ×...×CR k-1 ；v＝1，2，3，...n k ；f＝1，2，3，...，N；g＝1，2，3，...，N；f≠g，CR 0 ＝1，ρ k E (0, 1), N is the total number of schemes to be decided, N k For the total number of target attributes of the kth priority, e is the difference threshold, ρ k Compensation factor for attribute value of the target attribute of the kth priority for the kth+1th priority, +.>For the maximum absolute value of the difference between the corresponding attribute values of each target attribute at the kth priority for all schemes to be determined, CR k Compensation limit amount for attribute value of target attribute of kth priority to kth priority for kth+1th priority, TCR k The limit is compensated for the total of the k+1th priority.
3. The multi-attribute decision method according to claim 2, wherein the step of calculating the decision evaluation value of any one of the schemes to be decided based on the attribute value of each target attribute of the scheme to be decided and the total compensation limit amount corresponding to each priority comprises:
based on a preset decision evaluation formula, calculating a decision evaluation value of the scheme to be decided according to the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority; the preset decision evaluation formula is as follows:
wherein s=1, 2,3,; x is x s For the s-th scheme to be decided, q is the total number of priorities,for the attribute value of the jth target attribute of the kth priority in the kth scheme to be decided, PCRA (x s ) And the decision evaluation value of the s-th scheme to be decided.
4. A multi-attribute decision method according to any one of claims 1-3, characterized in that any one of the schemes to be decided is: and 3D printing a scheme to be decided.
5. A multi-attribute decision making system, comprising: the device comprises an acquisition module, a processing module and an operation module;
the acquisition module is used for: acquiring a plurality of schemes to be decided; each scheme to be decided comprises a plurality of target attributes;
the processing module is used for: determining the priority of each target attribute;
the operation module is used for: based on the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority, calculating the decision evaluation value of the scheme to be decided until the decision evaluation value of each scheme to be decided is obtained, and determining the scheme to be decided with the highest decision evaluation value as the optimal decision scheme.
6. The multi-attribute decision system of claim 5, further comprising: a computing module;
the computing module is used for: based on a total compensation limit calculation formula, acquiring a total compensation limit corresponding to any priority according to an attribute value of each target attribute of each scheme to be decided until the total compensation limit corresponding to each priority is obtained; the total compensation limit amount calculation formula is as follows: TCR (thyristor controlled reactor) k ＝CR 0 ×CR 1 ×...×CR k-1 ；v＝1，2，3，...n k ；f＝1，2，3，...，N；g＝1，2，3，...，N；f≠g，CR 0 ＝1，ρ k E (θ, 1), N is the total number of schemes to be decided, N k For the total number of target attributes of the kth priority, e is the difference threshold, ρ k Compensation factor for attribute value of the target attribute of the kth priority for the kth+1th priority, +.>For the maximum absolute value of the difference between the corresponding attribute values of each target attribute at the kth priority for all schemes to be determined, CR k Compensation limit amount for attribute value of target attribute of kth priority to kth priority for kth+1th priority, TCR k The limit is compensated for the total of the k+1th priority.
7. The multi-attribute decision system of claim 6, wherein the run module is specifically configured to:
based on a preset decision evaluation formula, calculating a decision evaluation value of the scheme to be decided according to the attribute value of each target attribute of any scheme to be decided and the total compensation limit corresponding to each priority; the preset decision evaluation formula is as follows:
wherein s=1, 2,3,; x is x s For the s-th scheme to be decided, q is the total number of priorities,for the attribute value of the jth target attribute of the kth priority in the kth scheme to be decided, PCRA (x s ) And the decision evaluation value of the s-th scheme to be decided.
8. The multi-attribute decision system according to any one of claims 5-7, wherein the any one of the schemes to be decided is: and 3D printing a scheme to be decided.
9. A storage medium having instructions stored therein which, when read by a computer, cause the computer to perform the multi-attribute decision method of any one of claims 1 to 4.
10. An electronic device comprising a memory, a processor and a program stored on the memory and running on the processor, characterized in that the processor implements the steps of the multi-attribute decision method of any of claims 1 to 4 when the program is executed by the processor.
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