CN108090322A - A kind of evaluation method of the ultra-fine grinding product based on fuzzy overall evaluation - Google Patents
A kind of evaluation method of the ultra-fine grinding product based on fuzzy overall evaluation Download PDFInfo
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- 238000011156 evaluation Methods 0.000 title claims abstract description 95
- 238000013210 evaluation model Methods 0.000 claims abstract description 9
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- 238000009826 distribution Methods 0.000 claims description 9
- 230000015572 biosynthetic process Effects 0.000 claims description 5
- 238000003786 synthesis reaction Methods 0.000 claims description 5
- 239000011159 matrix material Substances 0.000 claims description 4
- 238000013459 approach Methods 0.000 claims description 3
- 239000000047 product Substances 0.000 claims 22
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- 239000002131 composite material Substances 0.000 abstract 1
- 238000005457 optimization Methods 0.000 description 5
- 238000002474 experimental method Methods 0.000 description 3
- 229910052500 inorganic mineral Inorganic materials 0.000 description 3
- 238000004519 manufacturing process Methods 0.000 description 3
- 239000011707 mineral Substances 0.000 description 3
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- 238000004364 calculation method Methods 0.000 description 2
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- BASFCYQUMIYNBI-UHFFFAOYSA-N platinum Chemical compound [Pt] BASFCYQUMIYNBI-UHFFFAOYSA-N 0.000 description 2
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- 229910052697 platinum Inorganic materials 0.000 description 1
- 238000004451 qualitative analysis Methods 0.000 description 1
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Abstract
The present invention relates to a kind of evaluation methods of the ultra-fine grinding product based on fuzzy overall evaluation, comprise the following steps：1) selective goal and comprehensive evaluation model is built；2) weight of each index, is determined by analytic hierarchy process (AHP)；3), the construction of Fuzzy Comprehensive Evaluation System is calculated the fuzzy evaluation collection of product by fuzzy mathematics relevant knowledge, then draws Fuzzy comprehensive evalution.The present invention has used fuzzy mathematics relevant knowledge in ultra-fine grinding field, establishes a kind of Fuzzy Comprehensive Evaluation System based on analytic hierarchy process (AHP), is single index by comprehensive multi-index, composite target is provided for the evaluation of product quality.
Description
Technical field
The present invention relates to a kind of evaluation method of product, more particularly, to a kind of ultra-fine grinding based on fuzzy overall evaluation
The evaluation method of product.
Background technology
The ultra-fine grinding of mineral is difficult to that particle is directly crushed to required granularity, generally comprises and is crushed and classified or in advance
It crushes and two big link of ultra-fine grinding.The quality of product have to upper link processing procedure and next processing procedure examine and
Directive significance.In the industry fields such as manufacture of cement, chemical industry, metallurgical fine grinding, mineral crushing, crushed work efficiency is low, unit electricity
Consumption is big.It is known that the cost of electric energy accounts for greatly in the ore grinding cost ratio produced from South Africa platinum, ratio 37%.
Therefore the technological parameter of grinding machine is optimized, it is very valuable and meaning research topic that equipment is made, which to have better crushing effect,.
How much experiment can be divided into according to the index of evaluation test result quality by single index experiment and Multi-index test, generally
It says, scientific research is multi-specification optimization problem mostly with many process optimization problems in engineering construction, and the ultra-fine grinding of mineral is just
It is one of them.But it is interpenetrated by each index between each index in multi-specification optimization problem, mutually restricted, to one of them
Index optimization is to be deteriorated using other indexs as cost, and the unit of each index is again often inconsistent, therefore is difficult objective
Evaluate the relative merits of multi objective solution.In order to solve this problem so that can have the base compared during experiment
Plinth, numerous scholars establish overall evaluation criterion or method, such as efficiency coefficient method, leash law, and multi -index decision problem is turned
Turn to single index decision problem, etc..
Fuzzy evaluation handles fuzzy evaluation object by accurate digital means, ambiguity can be presented to containing information
Data make comparisons science, rationally, the quantitatively evaluating of closing to reality.Evaluation result is a vector rather than a point value, is wrapped
The information contained is relatively abundanter, not only can more accurately portray and be evaluated object, but also can be processed further, and obtains with reference to letter
Breath.
The content of the invention
The present invention has used fuzzy mathematics relevant knowledge in ultra-fine grinding field, establishes a kind of based on analytic hierarchy process (AHP)
Comprehensive multi-index is single index, to evaluate the quality of a certain product quality by Fuzzy Comprehensive Evaluation System.
The purpose of the present invention can be achieved through the following technical solutions.
A kind of evaluation method of the ultra-fine grinding product based on fuzzy overall evaluation, comprises the following steps：
1), choose several evaluation indexes Wn in Jet Crushing and carry out reactor product overall characteristic, establish overall merit
Model；
2) the weight vectors V=(v1, v2, vn) of each index, is determinedT；
3) codomain of evaluate collection U and each evaluation index, is determined, evaluate collection U=W1, W2, Wn }；
4) the membership function f (x) of each index, is determined；
5) the degree of membership u of each evaluation index, is determined；
6) the fuzzy evaluation collection P of product, is determined；
7) the comprehensive evaluation value Z of product, is determined.
In the step 1), comprehensive evaluation model can be that multistage synthesis can also be level-one synthesis.
In the step 1), evaluation index includes all aspects of the parameters that the needs such as product number, quality are considered.The implementation case
Middle n=3, selection qualified products quality is W1, size distribution fractal is W2 and d97For W3, by these three Index Establishments such as Fig. 1
Shown level-one comprehensive evaluation model.
In the step 2), application level analytic approach carrys out the weight vectors of agriculture products.
In the step 3), evaluate collection includes multiple evaluation indexes of product.
In the step 3), according to produce reality and the theoretical codomain [a, b] for calculating the value x for determining evaluation index Wn.
In the step 4), each evaluation index is chosen according to the characteristic of Jet Crushing and each evaluation index attribute
Membership function.
In the step 4), using k parabolic type membership function：
In formula, a is the minimum value of evaluation index codomain, and b is the maximum of evaluation index codomain, and k is parameter, k>0, f
(x) it is the membership function of evaluation index.The k parabolic type distribution in a left side half and the distribution of left and right k parabolic type can similarly be provided.
In the step 4), the codomain of membership function is [0,1].
In the step 5), each evaluation is obtained according to the value x of each evaluation index and its relevant membership function f (x) and is referred to
Target degree of membership u=f (x).
In the step 6), the fuzzy evaluation collection of product is the matrix formed with the degree of membership of each index：
P=(u1, u2, un)
In the step 7), the overall merit of multi objective is by the fuzzy evaluation collection of a index and each index weights vector
Matrix product.
Compared with prior art, the present invention applies fuzzy mathematics knowledge architecture model of fuzzy synthetic evaluation, using level
Analytic approach determines the weight vectors of each evaluation index and using k parabolic type membership function as membership function, can be compared with
Comprehensively to reflect the overall characteristic of ultra-fine grinding product, rational foundation is provided for the processing in process optimization and later stage,
Specific advantage is as follows：
(1) comprehensive evaluation model established can integrate multi objective as single index, avoid that each index dimension is inconsistent to be led
The analysis of cause is more inconvenient.
(2) evaluation index selected by more can comprehensively reflect product various aspects characteristic, in terms of both having reflected product matter
Characteristic, and reflect the characteristic in terms of product volume.
(3) quality time of product judges there is subjectivity and uncertainty, and analytic hierarchy process (AHP) is selected to carry out agriculture products
Weight vectors are more accurate.
(4) using k parabolic type membership function, ultra-fine grinding dynamics is met, and formula is simple, calculation amount
It is small.
Description of the drawings
Fig. 1 is the comprehensive evaluation model that the present invention establishes.
Fig. 2 is the k parabolic type membership function schematic diagram that the present invention uses.
Specific embodiment
Technical scheme is described further below in conjunction with the accompanying drawings.The present embodiment using technical solution of the present invention as
Premise is implemented, and gives detailed embodiment and specific operating procedure, but protection scope of the present invention is not limited to down
The embodiment stated.
1), evaluation index includes all aspects of the parameters that the needs such as product number, quality are considered, if choosing in Jet Crushing
A dry evaluation index Wn carrys out reactor product overall characteristic, establishes comprehensive evaluation model.N=3 in the implementation case selects qualified production
Quality is W1, size distribution fractal is W2 and d97 is W3, is commented by these three Index Establishments level-one synthesis as shown in Figure 1
Valency model.
2), using the analytic hierarchy process (AHP) that qualitative analysis and quantitative analysis can be combined determine the weight of each index to
Amount V=(v1, v2, vn)T。
3) codomain of evaluate collection U and each evaluation index, is determined, evaluate collection U=W1, W2, and Wn }, according to production
The actual and theoretical codomain [a, b] for calculating the value x for determining evaluation index Wn.
4) the membership function f of each index, is chosen according to the characteristic of Jet Crushing and each evaluation index attribute
(x), the implementation case uses k parabolic type membership function.The function calculation formula is
In formula, a is the minimum value of evaluation index codomain, and b is the maximum of evaluation index codomain, and k is parameter, k>0, f
(x) it is the membership function of evaluation index.The k parabolic type distribution in a left side half and the distribution of left and right k parabolic type can be similarly provided,
The codomain of membership function is [0,1].
5) the degree of membership u of each evaluation index, is obtained according to the value x of each evaluation index and its relevant membership function f (x)
=f (x)；
6), the fuzzy evaluation collection of product is the matrix formed with the degree of membership of each index：
P=(u1, u2, un)
7) the comprehensive evaluation value Z of product, is determined, the overall merit of multi objective is fuzzy evaluation collection and each finger by a index
Mark the matrix product of weight vectors.
Z=P1×n·Vn×1=(u1, u2, un) (v1, v2, vn)T
It is obvious to a person skilled in the art that the present invention/invention is not limited to the details of above-mentioned exemplary embodiment, and
And in the case of without departing substantially from the spirit or essential attributes of the present invention/invention, the present invention can be realized in other specific forms.
Therefore, in all respects, the present embodiments are to be considered as illustrative and not restrictive, the present invention/invention
Scope be indicated by the appended claims rather than the foregoing description, it is intended that meaning in the equivalent requirements of the claims will be fallen
It is included within the present invention with all changes in scope.Any reference numeral in claim should not be considered as involved by limitation
Claim.
Moreover, it will be appreciated that although this specification is described in terms of embodiments, but not each embodiment is only wrapped
Containing an independent technical solution, this description of the specification is merely for the sake of clarity, and those skilled in the art should
Using specification as an entirety, the technical solutions in each embodiment can also be properly combined, forms those skilled in the art
It is appreciated that other embodiment.
Claims (12)
1. a kind of evaluation method of the ultra-fine grinding product based on fuzzy overall evaluation, which is characterized in that comprise the following steps：
1), choose several evaluation indexes Wn in Jet Crushing and carry out reactor product overall characteristic, establish comprehensive evaluation model；
2) the weight vectors V=(v1, v2, vn) of each index, is determinedT；
3) codomain of evaluate collection U and each evaluation index, is determined, evaluate collection U=W1, W2, Wn }；
4) the membership function f (x) of each index, is determined；
5) the degree of membership u of each evaluation index, is determined；
6) the fuzzy evaluation collection P of product, is determined；
7) the comprehensive evaluation value Z of product, is determined.
2. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, which is characterized in that
In the step 1), comprehensive evaluation model can be that multistage synthesis can also be level-one synthesis.
3. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, which is characterized in that
In the step 1), evaluation index includes all aspects of the parameters that the needs such as product number, quality are considered.N=3 in the implementation case,
Selection qualified products quality is W1, size distribution fractal is W2 and d97For W3, by these three Index Establishments it is as shown in Figure 1 one
Grade comprehensive evaluation model.
4. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, which is characterized in that
In the step 2), application level analytic approach carrys out the weight vectors of agriculture products.
5. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, which is characterized in that
In the step 3), evaluate collection includes multiple evaluation indexes of product.
6. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, which is characterized in that
In the step 3), according to produce reality and the theoretical codomain [a, b] for calculating the value x for determining evaluation index Wn.
7. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, which is characterized in that
In the step 4), the degree of membership letter of each evaluation index is chosen according to the characteristic of Jet Crushing and each evaluation index attribute
Number.
8. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, which is characterized in that
In the step 4), using k parabolic type membership function：
In formula, a is the minimum value of evaluation index codomain, and b is the maximum of evaluation index codomain, and k is parameter, k>0, f (x) is to comment
The membership function of valency index can similarly provide the k parabolic type distribution in a left side half and the distribution of left and right k parabolic type.
9. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, which is characterized in that
In the step 4), the codomain of membership function is [0,1].
10. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, feature exist
In in the step 5), the person in servitude of each evaluation index is obtained according to the value x of each evaluation index and its relevant membership function f (x)
Category degree u=f (x).
11. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, feature exist
In in the step 6), the fuzzy evaluation collection of product is the matrix formed with the degree of membership of each index：
P=(u1, u2, un).
12. the evaluation method of the ultra-fine grinding product according to claim 1 based on fuzzy overall evaluation, feature exist
In in the step 7), the comprehensive evaluation value of product is the Matrix Multiplication of the fuzzy evaluation collection by product and each index weights vector
Product.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110009214A (en) * | 2019-03-28 | 2019-07-12 | 武汉大学 | The evaluation method that high dam release flood vibration influences nearby residents life comfort level |
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| CN106651656A (en) * | 2016-12-28 | 2017-05-10 | 国网江西省电力公司经济技术研究院 | Power supply reliability fuzzy comprehensive evaluation method based on improved membership degree function |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110009214A (en) * | 2019-03-28 | 2019-07-12 | 武汉大学 | The evaluation method that high dam release flood vibration influences nearby residents life comfort level |
| CN110009214B (en) * | 2019-03-28 | 2021-07-20 | 武汉大学 | Method for evaluating influence of flood discharge vibration of high dam on living comfort of surrounding residents |
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