CN107169234A - A kind of rocker arm of coal mining machine system maintenance integrated evaluating method - Google Patents
A kind of rocker arm of coal mining machine system maintenance integrated evaluating method Download PDFInfo
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Abstract
The present invention proposes a kind of rocker arm of coal mining machine system maintenance integrated evaluating method, and this method is based on triangle Fuzzy AHP (TFAHP) and model of fuzzy synthetic evaluation is implemented.It initially sets up rocker arm of coal mining machine system maintenance Analytic Hierarchy Process Model, the maintainability weight of each subsystem is calculated with TFAHP, secondly each subsystem maintainability qualitative index and quantitative data are normalized and obtain its maintainability efficiency value, handled for qualitative index using model of fuzzy synthetic evaluation, handled for quantitative data using linear mathematical model, then the maintenance sex index of each subsystem is calculated, the maintainability weight and maintainability index that finally integrate each subsystem calculate the maintenance sex index for obtaining rocker arm of coal mining machine system.Optimal case in different designs scheme can be determined according to this system-level maintenance sex index, and the weak link in design can be analyzed, effective corrective measure is proposed.
Description
Technical field
The present invention relates to coal mine machinery equipment maintainability technical field, a kind of rocker arm of coal mining machine system maintenance is related generally to
Integrated evaluating method.
Background technology
Maintainability reflects quick and easy, the economic ability of its maintenance as the base attribute of equipment.Rocker arm of coal mining machine
System, as the critical piece of coal-winning machine, is also the position of Frequent Troubles, and the quality of its service mode, which is directly connected to, entirely adopts
The operating efficiency of coal machine.Coal-winning machine in the process of running, because of special working environment and changeable working condition, it is necessary to grasp whole
The service mode of individual rocker arm system, efficiently to implement maintenance in time, reduces equipment repair cost.Current existing maintainability
Model is mainly determined to the service mode of small-sized single system, and for integrating mechanical, electrical, liquid large complicated coal mining
The maintainability comprehensive evaluation of machine rocker arm system is still immature.Therefore, the service mode of rocker arm of coal mining machine system integrate commenting
Valency has very big necessity.
The content of the invention
Goal of the invention:To realize the overall merit of rocker arm of coal mining machine system maintenance state, so as to according to system-level dimension
Repairing property level determines suitable design, and the present invention proposes a kind of rocker arm of coal mining machine system maintenance integrated evaluating method.
Technical scheme:To realize above-mentioned technique effect, technical scheme proposed by the present invention is:
A kind of rocker arm of coal mining machine system maintenance integrated evaluating method, including step:
(1) the rocker arm of coal mining machine system is divided into S subsystem;Using S subsystem of rocker arm of coal mining machine system as
Solution layer, the maintainability evaluation index of each subsystem to choose in advance refer to as rule layer, with rocker arm of coal mining machine system maintenance
Number is destination layer, sets up the maintainability Analytic Hierarchy Process Model of rocker arm of coal mining machine system;
(2) the maintainability Analytic Hierarchy Process Model based on rocker arm of coal mining machine system, is calculated using triangle Fuzzy AHP
Each subsystem is to the index comprehensive weight of rocker arm of coal mining machine system maintenance sex index, i.e., the maintainability weight of each subsystem;
(3) maintainability evaluation index is divided into qualitative index and quantitative data index, and calculates determining for each subsystem respectively
The efficiency value of property index and quantitative data index;Wherein, the efficiency value of qualitative index is calculated using Field Using Fuzzy Comprehensive Assessment,
And the efficiency value of quantitative data target is represented using following mathematical modeling:
In formula, x represents quantitative data index value;xmaxRepresent maximum of the quantitative data index in the range of predeterminable area
Value;xminRepresent minimum value of the quantitative data index in the range of predeterminable area;A is assessed value range parameter, is represented behind A
Numerical value normalized be hundred-mark system;B represents form parameter, and B represents that form parameter is linear dimensions when taking 0;
(4) the maintainability index M of each subsystem is calculatedsFor:
In formula, EsFor the efficiency value of the qualitative index of s-th of subsystem, FsFor the quantitative data index of s-th subsystem
Efficiency value;
(5) the maintainability index M of the calculating rocker arm of coal mining machine system is:
Wherein, ωsRepresent the maintainability weight of s-th of subsystem;MsRepresent the maintenance sex index of s-th of subsystem.
Further, the maintainability evaluation index includes:Accessibility, assembling/dismantling property, detection and diagnosis performance,
Repair security, maintenance people element and repair rate;Wherein accessibility, assembling/dismantling property, detection and diagnosis performance, maintenance are safe
Property, maintenance people element be qualitative index, repair rate be quantitative data index.
Further, the step of use triangle Fuzzy AHP calculates the maintainability weight of each subsystem is wrapped
Include:
(3-1) constructs triangle Fuzzy Complementary Judgment Matrices
In formula,For in the maintainability Analytic Hierarchy Process Model, significance level of i-th of element relative to j-th of element;
lijAnd uijRespectively Triangular Fuzzy NumberBoundary up and down, and meet:lij+uji=1, uij+lji=1, lii=0.5, uii=
0.5;mijFor Triangular Fuzzy NumberIntermediate value;
(3-2) calculates preliminary individual layer fuzzy weighted values
According to preliminary individual layer fuzzy weighted values, Mode of Level Simple Sequence is carried out, that is, the first prime number for assuming last layer is n, is calculated next
I-th of element is relative to the triangle fuzzy weighted values of last layer element in layer:
(3-3) sets up Fuzzy Consistent Possibility Degree Matrix, 2. calculates step obtained individual layer fuzzy weighted values and carries out mould from
Gelatinization is handled, and step is:
IfCalculatePossibility degree be:
In formula, λ ∈ [0,1];During λ > 0.5, represent that policymaker is Risk-Averse;During λ=0.5, represent that policymaker is wind
Danger neutrality;During λ < 0.5, policymaker's risk aversion is represented;λ=0.5 is taken, preliminary complementary Possibility Degree Matrix P=is calculated
(pij)n×n, and it is converted into Fuzzy Consistent Possibility Degree Matrix R=(rij)n×n, i.e.,
(3-4) calculates final individual layer weight
According to Fuzzy Consistent Possibility Degree Matrix R, Triangular Fuzzy Number is ranked up, obtain the sequence of Possibility Degree Matrix to
Amount, the i.e. final weight of the Mode of Level Simple Sequence of each element:
(3-5) calculates comprehensive weight
Assuming that the maintainability Analytic Hierarchy Process Model second layer member prime number is m, its total hierarchial sorting weight is respectively a1,
a2..., am;The Mode of Level Simple Sequence weight of third layer each element is respectively b1j, b2j... bSj, then the synthesis of each subsystem of third layer
Weights omegasFor:
Further, the use Field Using Fuzzy Comprehensive Assessment calculates the step of the efficiency value of any one subsystem qualitative index
Suddenly include:
(4-1) builds the model of fuzzy synthetic evaluation of the subsystem, regard qualitative index as model of fuzzy synthetic evaluation
Set of factors, and the Comment gathers of model of fuzzy synthetic evaluation are provided in advance;
(4-2) determines fuzzy evaluating matrix
Use fpqRepresent in model of fuzzy synthetic evaluation, p-th of factor is to the degree of membership of q-th of comment, then fuzzy evaluation square
Battle array be:
F=[fpq]P×Q
In formula, P represents the sum of qualitative index in set of factors, and Q represents the sum of comment in Comment gathers;
(4-3) determines that importance weight is:
W={ w1, w2..., wP}
W is met
(4-4) carries out fuzzy operation, calculates fuzzy overall evaluation collection and is:
Wherein,For composite operator;
The efficiency value that (4-5) calculates the qualitative index of the subsystem is:
Es=BET
In formula, EsFor the efficiency value of the qualitative index of s-th of subsystem, E is the corresponding assessment parameter set of Comment gathers.
Beneficial effect:Compared with prior art, the present invention has the advantage that:For rocker arm of coal mining machine is so large-scale and work(
The complicated system of energy, directly carries out maintainability evaluation relatively difficult by way of traditional expert estimation.The present invention will be large-scale multiple
Miscellaneous system is from top to bottom decomposed into each subsystem, more accurate reasonable to each subsystem progress maintainability evaluation, simultaneously comprehensive
Qualitative and quantitative elemental is considered, more science the maintainability level of rocker arm system can be comprehensively grasped, be conducive to preferably
Select suitable design and not enough scheme is proposed to improve.
Brief description of the drawings
Fig. 1 is the schematic diagram of the embodiment of the present invention.
Embodiment
The present invention is further described below in conjunction with the accompanying drawings.
Maintainability concept is illustrated first:Maintainability refers to implement to tie up under the conditions of defined and by regulated procedure and means
When repairing, product keeps under defined use condition and recovers that the ability of predetermined function state can be performed, i.e., faulty item is in spy
The probability being repaired in fixing time.
The present invention principle as shown in figure 1, technical scheme is done with specific embodiment below in conjunction with the accompanying drawings into
One step illustrates explanation.
Rocker arm of coal mining machine system is as one of most important part of coal-winning machine, and the quality of its maintainability is directly influenced
The operating efficiency of whole coal-winning machine.Rocker arm system is mainly made up of following four subsystem:Cut system (JS), hydraulic system
(YS), electrical system (DS), accessory system (FS).In the present invention, four subsystems of rocker arm system are regard as step analysis mould
Solution layer (third layer) in type, finally to obtain maintainability weight of each subsystem in whole rocker arm system.
Set up the maintenance sex index that maintainability Analytic Hierarchy Process Model determines rocker arm of coal mining machine system.
As can be seen that the maintenance sex index of rocker arm of coal mining machine system is from Analytic Hierarchy Process Model:
Wherein, M is the maintenance sex index of rocker arm of coal mining machine system;ωsRepresent the maintainability weight of s-th of subsystem;MsTable
Show the maintenance sex index of s-th of subsystem.
Ensuing problem is the maintainability weights omega for how rationally and effectively calculating each subsystems, and each subsystem
Maintainability index Ms。
The maintainability index M of each subsystem is determined firsts:
The maintainability evaluation index of each subsystem is divided into qualitative index and quantitative data index, and this two parts is carried out respectively
Normalized obtains its efficiency value, and the convenient maintainability to each subsystem carries out unified evaluation.According to the design of rocker arm system
Criterion and use requirement, consider expert opinion, choose maintainability evaluation index:Accessibility, assembling/dismantling property, detection
And diagnosis performance, maintenance security, maintenance people element, 1/MTTR.The maintainability evaluation index can be as in Analytic Hierarchy Process Model
Rule layer (second layer), the maintainability of sub-system carries out evaluation marking.
To qualitative index, it can be handled using model of fuzzy synthetic evaluation, step is:
1. the set of factors U={ μ of qualitative index are determined1, μ2, μ3, μ4, μ5, the second level factor collection is contained under each factor, such as because
Contain 3 the second level factor μ under plain accessibility1={ μ11, μ12, μ13}。
2. the set of Comment gathers and evaluation result, can be divided into four factors in the determination of qualitative index maintainability efficiency value,
That is v1- excellent, v2- good, v3- in, v4- poor, then Comment gathers V={ v1, v2, v3, v4}。
3. fuzzy evaluating matrix is determined
Use fpqDegree of membership of p-th of factor to q-th of comment is represented, then fuzzy evaluating matrix is:
F=[fpq]P×Q
4. importance weight W={ w are determined1, w2..., wP), and meet
Importance weight can be determined using above-mentioned triangle Fuzzy AHP (TFAHP) in this link.
5. fuzzy operation is carried out
The fuzzy overall evaluation collection of weighted average model is:
Wherein,Referred to as composite operator.To consider influence of each factor to evaluation result, make between each factor
Can mutually compensate for, selection multiply with and operator (+), i.e. weighted average type composite operator, its operation rule is equivalent to Matrix Multiplication
Method.
For the model containing multi-stage Fuzzy Evaluation, if upper level contains m element, under each element of upper level
One-level contains r element, first calculates the next stage evaluation result B of each elementi, i=1,2 ..., m construct fuzzy evaluating matrix
R=[B1, B2..., Bm]T, final evaluation result B is can be calculated according to above calculation procedure.
6. the maintainability efficiency value of qualitative index is calculated
This link assesses parameter using fixed value and Comment gathers is divided, and will assess parameter set E={ 90,70,50,30 }
Correspondence Comment gathers V={ v1, v2, v3, v4, the concept that can also introduce grey number carries out more rational numerical division to Comment gathers.
Then the qualitative index maintainability efficiency value of each subsystem is:
Es=BsET
Wherein, EsFor the qualitative index maintainability efficiency value of s-th of subsystem;BsFor the qualitative index mould of s-th of subsystem
Paste overall merit collection;E is the assessment parameter set of Comment gathers.
To quantitative data, repair rate μ=1/MTTR is chosen, is profit evaluation model property parameters, its quantized value (score value) trend
It is in be incremented by state with the increase of index value.
It can be represented with following mathematical modeling:
Wherein, x represents evaluation index numerical value;xmaxRepresent evaluation index interior maximum at the regional level;xminExpression is commented
Estimate index interior minimum value at the regional level;A represents that A takes 100 in assessed value range parameter, hundred-mark system;B represents form parameter,
It is linear processing methods when taking 0.
To sum up, for the rocker arm of coal mining machine system shown in Fig. 1, the maintenance sex index of each subsystem is:
Wherein, MsFor the maintenance sex index of s-th of subsystem;EsFor the qualitative index maintainability efficiency of s-th of subsystem
Value;FsFor the quantitative data maintainability efficiency value of s-th of subsystem.
After being determined each subsystem maintenance sex index, it is thus necessary to determine that the maintainability weights omega of each subsystems, it calculates step
It is rapid as follows:
1. triangle Fuzzy Complementary Judgment Matrices are constructed, relatively important journey between the influence factor of each subsystem maintainability is judged
Degree, Triangular Fuzzy Number intermediate value marking rule can be obtained according to table 1.
Marking criterion in the Triangular Fuzzy Number of table 1
Such as, withRepresent power of each evaluation index (second layer) to rocker arm of coal mining machine system maintenance sex index
Weight judgment matrix, then:
The rocker arm of coal mining machine system of destination layer (first layer) is tieed up by 6 maintainability evaluation indexs of rule layer (second layer)
Repairing property carry out two-by-two important ratio compared with obtaining the fuzzy judgment matrix of 16 × 6;Tieed up by each subsystem of solution layer (third layer)
Repairing property to rule layer (second layer) maintainability evaluation index carry out two-by-two important ratio compared with.Obtain the fuzzy Judgment square of 64 × 4
Battle array.
2. according to 7 obtained triangle fuzzy judgment matrix, preliminary individual layer fuzzy weighted values are calculated, Mode of Level Simple Sequence is carried out.
Assuming that first prime number of last layer is n, then utilize and row normalization method, obtain i-th of element relative to last layer time because
Element triangle fuzzy weighted values be:
3. Fuzzy Consistent Possibility Degree Matrix is set up, de-fuzzy processing is carried out
In order to which solving matrix uniformity judges and Ranking fuzzy number problem, handled using Possibility Degree MatrixI.e. to triangle
Fuzzy number weight is contrasted two-by-two.IfThenPossibility degree be:
In formula, λ ∈ [0,1].λ=0.5 is taken, preliminary complementation Possibility Degree Matrix P=(p are calculatedij)n×n.Then will be tentatively mutual
Mend Possibility Degree Matrix and be converted into fuzzy consistent matrix R=(rij)n×n, i.e.,
4. final individual layer weight is calculated
According to Fuzzy Consistent Possibility Degree Matrix R, Triangular Fuzzy Number is ranked up, possibility degree is obtained using sort formula
The ordering vector of matrix, i.e. index final weight:
5. comprehensive weight is calculated
Assuming that the total weight order of level is respectively a between second layer element1, a2..., a6;Third layer member prime number interbed time is single
Sequence weight is respectively b1j, b2j..., b4j, then the comprehensive weight ω of each subsystemiFor:
So far, it can obtain the maintenance sex index of rocker arm of coal mining machine system.
Service mode based on rocker arm of coal mining machine system, it may be determined that optimal design and proposition improves coal-winning machine and shaken
The measure of arm system maintainability, its implementation is as follows:
For several different designs, its system-level maintenance sex index can be calculated according to the above method to determine most
Excellent scheme, and the weak link of each scheme can be analyzed, propose rational corrective measure.
When calculating each subsystem maintenance sex index, a certain qualitative index being subordinate to for highest comment of a certain system is made
Degree is 1 or takes a certain quantitative data to be maximum xmax, cause rocker arm system to repair the change size of sex index, change bigger theory
Bright index for improving this subsystem is got over and can improve the maintainability of rocker arm of coal mining machine system, i.e., this index for this design in it is thin
Weak link, can reasonably be improved it.
By taking cut system (JS) accessibility as an example, the accessibility for making JS is 1 for excellent degree of membership, recalculates JS systems
Maintenance sex index, try to achieve the maintenance sex index of final rocker arm of coal mining machine system, with former rocker arm system maintenance sex index carry out
Contrast, if changing greatly, illustrates the weak link that accessibility designs for this, and the program can be effectively improved by improving accessibility
Maintainability level.
Described above is only the preferred embodiment of the present invention, it should be pointed out that:For the ordinary skill people of the art
For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should
It is considered as protection scope of the present invention.
Claims (4)
1. a kind of rocker arm of coal mining machine system maintenance integrated evaluating method, it is characterised in that including step:
(1) the rocker arm of coal mining machine system is divided into S subsystem;The S subsystem using rocker arm of coal mining machine system is scheme
Layer, using the maintainability evaluation index of each subsystem chosen in advance as rule layer, using rocker arm of coal mining machine system maintenance sex index as
Destination layer, sets up the maintainability Analytic Hierarchy Process Model of rocker arm of coal mining machine system;
(2) the maintainability Analytic Hierarchy Process Model based on rocker arm of coal mining machine system, each point is calculated using triangle Fuzzy AHP
System is to the index comprehensive weight of rocker arm of coal mining machine system maintenance sex index, i.e., the maintainability weight of each subsystem;
(3) maintainability evaluation index is divided into qualitative index and quantitative data index, and calculates the qualitative finger of each subsystem respectively
The efficiency value of mark and quantitative data index;Wherein, the efficiency value of qualitative index is calculated using Field Using Fuzzy Comprehensive Assessment, depending on
The efficiency value of amount data target is represented using following mathematical modeling:
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In formula, x represents quantitative data index value;xmaxRepresent maximum of the quantitative data index in the range of predeterminable area;
xminRepresent minimum value of the quantitative data index in the range of predeterminable area;A is assessed value range parameter, is represented the number behind A
Value normalized is hundred-mark system;B represents form parameter, and B represents that form parameter is linear dimensions when taking 0;
(4) the maintainability index M of each subsystem is calculatedsFor:
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In formula, EsFor the efficiency value of the qualitative index of s-th of subsystem, FsFor the efficiency of the quantitative data index of s-th of subsystem
Value;
(5) the maintainability index M of the calculating rocker arm of coal mining machine system is:
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Wherein, ωsRepresent the maintainability weight of s-th of subsystem;MsRepresent the maintenance sex index of s-th of subsystem.
2. a kind of rocker arm of coal mining machine system maintenance integrated evaluating method according to claim 1, it is characterised in that described
Maintainability evaluation index includes:Accessibility, assembling/dismantling property, detection and diagnosis performance, maintenance security, maintenance people element and
Repair rate;Wherein accessibility, assembling/dismantling property, detection and diagnosis performance, maintenance security, maintenance people's element are qualitative index,
Repair rate is quantitative data index.
3. a kind of rocker arm of coal mining machine system maintenance integrated evaluating method according to claim 2, it is characterised in that described
The step of calculating the maintainability weight of each subsystem using triangle Fuzzy AHP includes:
(3-1) constructs triangle Fuzzy Complementary Judgment Matrices
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In formula,For in the maintainability Analytic Hierarchy Process Model, significance level of i-th of element relative to j-th of element;lijWith
uijRespectively Triangular Fuzzy NumberBoundary up and down, and meet:lij+uji=1, uij+lji=1, lii=0.5, uii=0.5;mij
For Triangular Fuzzy NumberIntermediate value;
(3-2) calculates preliminary individual layer fuzzy weighted values
According to preliminary individual layer fuzzy weighted values, Mode of Level Simple Sequence is carried out, that is, the first prime number for assuming last layer is n, is calculated in next layer
I-th of element be relative to the triangle fuzzy weighted values of last layer element:
<mrow>
<msub>
<mover>
<mi>&omega;</mi>
<mo>~</mo>
</mover>
<mi>i</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>a</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mrow>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>a</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>=</mo>
<mfrac>
<mrow>
<mo>(</mo>
<mrow>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>l</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>,</mo>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>m</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>,</mo>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>u</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mo>)</mo>
</mrow>
<mrow>
<mo>(</mo>
<mrow>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>l</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>,</mo>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>m</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>,</mo>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>u</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mo>)</mo>
</mrow>
</mfrac>
<mo>=</mo>
<mrow>
<mo>(</mo>
<mrow>
<mfrac>
<mrow>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>l</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mrow>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>u</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>,</mo>
<mfrac>
<mrow>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>m</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mrow>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>m</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>,</mo>
<mfrac>
<mrow>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>u</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mrow>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<munderover>
<mi>&Sigma;</mi>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>l</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
</mrow>
</mfrac>
</mrow>
<mo>)</mo>
</mrow>
</mrow>
(3-3) sets up Fuzzy Consistent Possibility Degree Matrix, 2. calculates step obtained individual layer fuzzy weighted values and carries out de-fuzzy
Handle, step is:
IfCalculatePossibility degree be:
<mfenced open = "" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>p</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>=</mo>
<mi>p</mi>
<mrow>
<mo>(</mo>
<mrow>
<msub>
<mover>
<mi>&omega;</mi>
<mo>~</mo>
</mover>
<mi>i</mi>
</msub>
<mo>&GreaterEqual;</mo>
<msub>
<mover>
<mi>&omega;</mi>
<mo>~</mo>
</mover>
<mi>j</mi>
</msub>
</mrow>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mi>&lambda;</mi>
<mi>max</mi>
<mrow>
<mo>{</mo>
<mrow>
<mn>1</mn>
<mo>-</mo>
<mi>max</mi>
<mrow>
<mo>(</mo>
<mrow>
<mfrac>
<mrow>
<msub>
<mi>m</mi>
<mi>j</mi>
</msub>
<mo>-</mo>
<msub>
<mi>l</mi>
<mi>i</mi>
</msub>
</mrow>
<mrow>
<msub>
<mi>m</mi>
<mi>i</mi>
</msub>
<mo>-</mo>
<msub>
<mi>l</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<msub>
<mi>m</mi>
<mi>j</mi>
</msub>
<mo>-</mo>
<msub>
<mi>l</mi>
<mi>i</mi>
</msub>
</mrow>
</mfrac>
<mo>,</mo>
<mn>0</mn>
</mrow>
<mo>)</mo>
</mrow>
<mo>,</mo>
<mn>0</mn>
</mrow>
<mo>}</mo>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>+</mo>
<mrow>
<mo>(</mo>
<mrow>
<mn>1</mn>
<mo>-</mo>
<mi>&lambda;</mi>
</mrow>
<mo>)</mo>
</mrow>
<mi>max</mi>
<mrow>
<mo>{</mo>
<mrow>
<mn>1</mn>
<mo>-</mo>
<mi>max</mi>
<mrow>
<mo>(</mo>
<mrow>
<mfrac>
<mrow>
<msub>
<mi>u</mi>
<mi>j</mi>
</msub>
<mo>-</mo>
<msub>
<mi>m</mi>
<mi>i</mi>
</msub>
</mrow>
<mrow>
<msub>
<mi>u</mi>
<mi>i</mi>
</msub>
<mo>-</mo>
<msub>
<mi>m</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<msub>
<mi>u</mi>
<mi>j</mi>
</msub>
<mo>-</mo>
<msub>
<mi>m</mi>
<mi>i</mi>
</msub>
</mrow>
</mfrac>
<mo>,</mo>
<mn>0</mn>
</mrow>
<mo>)</mo>
</mrow>
<mo>,</mo>
<mn>0</mn>
</mrow>
<mo>}</mo>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
In formula, λ ∈ [0,1];During λ > 0.5, represent that policymaker is Risk-Averse;During λ=0.5, in representing that policymaker is risk
Vertical;During λ < 0.5, policymaker's risk aversion is represented;λ=0.5 is taken, preliminary complementation Possibility Degree Matrix P=(p are calculatedij)n×n,
And it is converted into Fuzzy Consistent Possibility Degree Matrix R=(rij)n×n, i.e.,
<mrow>
<msub>
<mi>r</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msub>
<mi>r</mi>
<mi>i</mi>
</msub>
<mo>-</mo>
<msub>
<mi>r</mi>
<mi>j</mi>
</msub>
</mrow>
<mrow>
<mn>2</mn>
<mrow>
<mo>(</mo>
<mrow>
<mi>n</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
<mo>+</mo>
<mn>0.5</mn>
</mrow>
<mrow>
<msub>
<mi>r</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>p</mi>
<mrow>
<mi>i</mi>
<mi>k</mi>
</mrow>
</msub>
<mo>,</mo>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mo>...</mo>
<mo>,</mo>
<mi>n</mi>
</mrow>
(3-4) calculates final individual layer weight
According to Fuzzy Consistent Possibility Degree Matrix R, Triangular Fuzzy Number is ranked up, the ordering vector of Possibility Degree Matrix is obtained,
That is the final weight of the Mode of Level Simple Sequence of each element:
<mrow>
<msub>
<mi>b</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msub>
<mi>r</mi>
<mrow>
<mi>i</mi>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<mfrac>
<mi>n</mi>
<mn>2</mn>
</mfrac>
<mo>-</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>n</mi>
<mrow>
<mo>(</mo>
<mi>n</mi>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
</mrow>
(3-5) calculates comprehensive weight
Assuming that the maintainability Analytic Hierarchy Process Model second layer member prime number is m, its total hierarchial sorting weight is respectively a1, a2...,
am;The Mode of Level Simple Sequence weight of third layer each element is respectively b1j, b2j... bSj, then the comprehensive weight ω of each subsystem of third layers
For:
<mrow>
<msub>
<mi>&omega;</mi>
<mi>s</mi>
</msub>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>m</mi>
</munderover>
<msub>
<mi>b</mi>
<mrow>
<mi>s</mi>
<mi>j</mi>
</mrow>
</msub>
<msub>
<mi>a</mi>
<mi>j</mi>
</msub>
<mo>,</mo>
<mi>s</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mo>...</mo>
<mo>,</mo>
<mi>S</mi>
<mo>.</mo>
</mrow>
4. a kind of rocker arm of coal mining machine system maintenance integrated evaluating method according to claim 3, it is characterised in that described
The step of calculating the efficiency value of any one subsystem qualitative index using Field Using Fuzzy Comprehensive Assessment includes:
(4-1) builds the model of fuzzy synthetic evaluation of the subsystem, using qualitative index as model of fuzzy synthetic evaluation factor
Collection, and the Comment gathers of model of fuzzy synthetic evaluation are provided in advance;
(4-2) determines fuzzy evaluating matrix
Use fpqRepresent in model of fuzzy synthetic evaluation, p-th of factor is to the degree of membership of q-th of comment, then fuzzy evaluating matrix:
F=[fpq]PxQ
In formula, P represents the sum of qualitative index in set of factors, and Q represents the sum of comment in Comment gathers;
(4-3) determines that importance weight is:
W={ w1, w2..., wP}
W is met
(4-4) carries out fuzzy operation, calculates fuzzy overall evaluation collection and is:
Wherein,For composite operator;
The efficiency value that (4-5) calculates the qualitative index of the subsystem is:
Es=BET
In formula, EsFor the efficiency value of the qualitative index of s-th of subsystem, E is the corresponding assessment parameter set of Comment gathers.
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