CN107220411A - The method of discrimination and its system of a kind of Landslide Deformation degree - Google Patents

The method of discrimination and its system of a kind of Landslide Deformation degree Download PDF

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CN107220411A
CN107220411A CN201710306580.0A CN201710306580A CN107220411A CN 107220411 A CN107220411 A CN 107220411A CN 201710306580 A CN201710306580 A CN 201710306580A CN 107220411 A CN107220411 A CN 107220411A
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landslide
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王卫东
刘攀
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Central South University
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Abstract

The invention discloses a kind of method of discrimination of Landslide Deformation degree and its system, the method comprising the steps of:Landslide Deformation degree is divided into the different deformation stage by size, according to the sequential configuration of deformation extent from small to large come down in order deformation arrangement;Choose the evaluation index on the landslide of Landslide Deformation degree to be judged and calculate the single index Attribute Measure value of each evaluation index factor, the weighted value of each evaluation index factor is obtained by analytic hierarchy process (AHP), the Attribute Measure value for then answering each deformation phase according to the weighted value of each evaluation index factor and each evaluation index factor pair calculates Landslide Deformation synthesized attribute measure value;Attribute Recognition is carried out according to Reliability Code and analyzes the deformation stage corresponding to drawing Landslide Deformation degree.It is of the invention more directly perceived and accurate compared with traditional expert judgments method, and with good applicability.

Description

The method of discrimination and its system of a kind of Landslide Deformation degree
Technical field
The present invention relates to Landslide Deformation stage discretion field, more particularly to a kind of Landslide Deformation degree method of discrimination and its System.
Background technology
At present in western China especially Guizhou Province, the generation quantity of its geological disaster, cause death missing toll And direct economic loss all positions occupy the leading place in the whole country.From geologic hazard type, landslide is again topmost Disasters Type.Cause This, the deformation extent of analysis of landslide, and then early warning of being made prediction to landslide disaster, come down what is caused to avoid or reduce Unnecessary loss, is necessary.And it is an extremely complex process to come down, by various inherent and extraneous factors Influence.The deformation stage on certain landslide is differentiated, it is also desirable to consider the influence of a variety of enchancement factors, it is necessary to be evaluated numerous Choose representative some factors in the factor to differentiate the Landslide Deformation stage, the Assessing parameters filtered out are wanted can Reflect the variation characteristic on landslide well, and with mutually not repeated.
The judge in Landslide Deformation stage can be considered to be a fuzzy overall evaluation problem, and the side of traditional expert judging The degree of accuracy of method is not high, and adaptability is not strong.
The content of the invention
Present invention aims at the method for discrimination and its system for providing a kind of Landslide Deformation degree, to solve traditional expert The degree of accuracy of the method for judge is not high, the not strong prior art problem of adaptability.
To achieve the above object, the invention provides a kind of method of discrimination of Landslide Deformation degree, comprise the following steps:
Landslide Deformation degree is divided into the different deformation stage by size, according to the sequential configuration of deformation extent from small to large Landslide deformation arrangement in order;
Choose the evaluation index on the landslide of Landslide Deformation degree to be judged and calculate the single index of each evaluation index factor Attribute Measure value, the weighted value of each evaluation index factor is obtained by analytic hierarchy process (AHP), then according to each evaluation index because The weighted value and each evaluation index factor pair of son answer the Attribute Measure value of each deformation phase to calculate Landslide Deformation synthesized attribute Measure value;
Attribute Recognition is carried out according to Reliability Code and analyzes the deformation phase corresponding to drawing Landslide Deformation degree.
Further, in order landslide deformation arrangement include the wriggling stage, at the uniform velocity deformation stage, accelerate deformation stage and face cunning Stage.
Further, each evaluation index factor has grade CjThe normal Distribution Attribute measure value of deformation phase is:
Wherein, tI, j、uI, jParameter to be estimated is represented, i is landslide x i-th of evaluation index factor measured value.
Further, Landslide Deformation, which has, belongs to grade CjThe synthesized attribute measure value of deformation phase is:
Wherein, w={ w1, w2..., wmBe each evaluation index weight vectors.
Further, Attribute Recognition is carried out according to Reliability Code and analyzes the deformation rank corresponding to drawing Landslide Deformation degree Section computational methods be:
Wherein, λ is confidence level, and λ=0.7.
The above method is relied on, the invention also provides a kind of judgement system of Landslide Deformation degree, including with lower module:
Sequence structure module:For Landslide Deformation degree to be divided into the different deformation stage by size, according to deformation extent Sequential configuration from small to large come down in order deformation arrangement;
Attribute Measure value computing module:For the landslide of choosing Landslide Deformation degree to be judged evaluation index and calculate each Individual evaluation index factor pair answers the Attribute Measure value of each deformation phase, is calculated by analytic hierarchy process (AHP) and obtains each evaluation index The weighted value of the factor, then answers each deformation rank according to the weighted value of each evaluation index factor and each evaluation index factor pair The Attribute Measure value of section calculates Landslide Deformation synthesized attribute measure value;
Come down deformation phase determining module:Landslide Deformation journey is drawn for carrying out Attribute Recognition analysis according to Reliability Code The corresponding deformation phase of degree.
Further, sequence structure module structure orderly landslide deformation arrangement include the wriggling stage, at the uniform velocity deformation stage, Accelerate deformation stage and face the sliding stage.
Further, each evaluation index factor has grade C in Attribute Measure value computing modulejThe normal state of deformation phase Properties of distributions measure value is:
Wherein, tI, j、uI, jParameter to be estimated is represented, i is landslide x i-th of evaluation index factor measured value;
Landslide Deformation, which has, belongs to grade CjThe synthesized attribute measure value of deformation phase is:
Wherein, w={ w1, w2..., wmBe each evaluation index weight vectors.
Further, landslide deformation phase determining module carries out Attribute Recognition analysis according to Reliability Code and show that landslide becomes The computational methods of deformation stage corresponding to shape degree are:
Wherein, λ is confidence level, and λ=0.7.
Whole processing step of the invention is simplified, by the way that Landslide Deformation is segmented, the evaluation index on reselection landslide and calculating Their Attribute Measure value and the synthesized attribute measure value of multi objective, judge finally by Reliability Code belonging to landslide Deformation stage.Compared with traditional expert judging mode, result of the present invention is more directly perceived, accurate.And for all landslides all It can go to differentiate using this method and its system, strong applicability.
In addition to objects, features and advantages described above, the present invention also has other objects, features and advantages. Below with reference to accompanying drawings, the present invention is further detailed explanation.
Brief description of the drawings
The accompanying drawing for constituting the part of the application is used for providing a further understanding of the present invention, schematic reality of the invention Apply example and its illustrate to be used to explain the present invention, do not constitute inappropriate limitation of the present invention.In the accompanying drawings:
Fig. 1 is a kind of method of discrimination flow chart of Landslide Deformation degree of the preferred embodiment of the present invention;
Fig. 2 is the normal distribution form attribute recognition function of computation attribute measure value of the present invention;
Fig. 3 (a) (b) (c) (d) is trailing edge crack insertion rate, leading edge deformation extent, underground water in the embodiment of the present invention respectively The attribute recognition function of dynamic and monitoring or predictive displacement amount.
Embodiment
Embodiments of the invention are described in detail below in conjunction with accompanying drawing, but the present invention can be defined by the claims Implement with the multitude of different ways of covering.
The embodiment of the present invention discloses a kind of method of discrimination of Landslide Deformation degree first, as shown in figure 1, including following step Suddenly:
S1, Landslide Deformation degree is divided into the different deformation stage by size, according to the order of deformation extent from small to large Construction landslide deformation arrangement in order.
Landslide deformation phase is divided into by C according to deformation extent1、C2、…、CKSeveral stages, ifCp∩Cq=φ, (p ≠ q), then { C1, C2..., CkFor landslide deformation phase F segmentation, as { C1, C2..., CkDividing for landslide deformation phase F Cut and meet C1> C2> ... > CKOr C1< C2< ... < CKWhen, then claim { C1, C2..., CkArranged for landslide deformation in order. The present embodiment will come down deformation phase be divided into the wriggling stage, at the uniform velocity deformation stage, accelerate deformation stage, face sliding four differences of stage Stage, respectively with C1To C4Constitute landslide deformation arrangement in order.
S2, choose Landslide Deformation degree to be judged landslide evaluation index and calculate singly referring to for each evaluation index factor Attribute Measure value is marked, the weighted value for obtaining each evaluation index factor is calculated by analytic hierarchy process (AHP), is then evaluated according to each It is comprehensive that the weighted value of index factor and each evaluation index factor pair answer the Attribute Measure value of each deformation phase to calculate Landslide Deformation Close Attribute Measure value.
The index of Landslide Deformation degree can be reacted very well by being chosen according to evaluation index principle, then be calculated using analytic hierarchy process (AHP) Obtain the weighted value of each evaluation index factor.The index factor of Landslide Deformation, which can be reflected, to be had a lot, it would be desirable to numerous Choose representative some factors among evaluation points to differentiate the Landslide Deformation stage, the Assessing parameters filtered out The variation characteristic on landslide can be reflected well, and with mutually not repeated, we can rule of thumb judge to come true Determine the selection of Assessing parameters.Evaluation index factor standard span corresponding with deformation phase is known to can obtain Landslide Deformation The opinion rating canonical matrix of degree:
Wherein, aI, 1, aI, 2..., aI, 5Threshold value of the landslide to be measured on i-th of evaluation index is represented, and meets aI, 1< aI, 2 < ... < aI, 5Or aI, 1> aI, 2> ... > aI, 5
Because the value changes of each evaluation index during Landslide Deformation are complicated, therefore it can not be reflected by linear function Come.And the precision for the evaluation index value that state distribution function can be expressed will be far above linear function, therefore select normal distyribution function It is used as the attribute test function in Landslide Deformation stage discretion model.In view of being located adjacent to when the value of each evaluation index factor During the region of attribute space minimum value, the Attribute Measure in corresponding wriggling stage is close to 1;Meanwhile, when each evaluation index factor Value when being located adjacent to attribute space maximum region, the corresponding Attribute Measure for facing the sliding stage is also close to 1.Set up as schemed Normal Distribution Attribute measure function shown in 2, wherein X-axis are the value of index factor, and Y-axis is probability, and four waveforms are represented not The same Landslide Deformation stage.[aI, j, aI, j+1] represent that i-th of evaluation index factor is in j-th stage deformation grade in any Landslide Deformation Codomain it is interval.According toAsk for posture of i-th of evaluation index in j-th stage deformation grade that come down Properties of distributions measure value.As shown in Figure 2, at the uniform velocity deformation stage and acceleration deformation stage, uI, j=(aI, j+aI, j+1)/2, will Coordinate points (aI, j, 0.5) and (aI, j+1, 0.5) and above-mentioned formula can derive tI, j(a of=4ln 2/I, j-aI, j+1)2, wherein j=2,3; For the stage, u of wrigglingI, j=aI, 1, by coordinate points (aI, 2, 0.5) substitute into above-mentioned formula can derive tI, j(a of=ln 2/I, 1- aI, 2)2, wherein j=1;For facing sliding stage, uI, j=aI, 5, by coordinate points (aI, 4, 0.5) and substitution table above-mentioned formula can derive tI, j(a of=ln 2/I, 4-aI, 5)2, wherein j=4.Because each evaluation index factor pair should deformation grade attribute test It is 1 to spend sum, and the Attribute Measure value asked for not necessarily meets the requirement, it is therefore desirable to μ 'I, jIt is normalized
The Attribute Measure value of each evaluation index factor is thus obtained.
Assuming that weight vectors w={ w1, w2..., wm, it can be seen from single evaluation index factor Attribute Measure value, certain landslide Deformation, which has, belongs to grade CjLandslide Deformation synthesized attribute measure value be:
S3, the deformation phase according to corresponding to Reliability Code progress Attribute Recognition analysis draws Landslide Deformation degree.
According to Reliability Code, i.e.,
Judge which stage is Landslide Deformation belong to, the present embodiment selection confidence level is λ=0.7.
To sum up, the whole processing step of the inventive method is simplified, by the way that Landslide Deformation is segmented, and the evaluation on reselection landslide refers to The mark factor simultaneously calculates their Attribute Measure value, and the deformation stage belonging to landslide is judged finally by Reliability Code.Obtain Result it is more directly perceived, accurate.And can go to differentiate using this method for all landslides, strong applicability.
The above method is relied on, the invention also provides a kind of judgement system of Landslide Deformation degree, including with lower module:
Sequence structure module:For Landslide Deformation degree to be divided into the different deformation stage by size, according to deformation extent Sequential configuration from small to large come down in order deformation arrangement.
Attribute Measure value computing module:For the landslide of choosing Landslide Deformation degree to be judged evaluation index and calculate each Individual evaluation index factor pair answers the Attribute Measure value of each deformation phase, is calculated by analytic hierarchy process (AHP) and obtains each evaluation index The weighted value of the factor, then answers each deformation rank according to the weighted value of each evaluation index factor and each evaluation index factor pair The Attribute Measure value of section calculates Landslide Deformation synthesized attribute measure value.
Come down deformation phase determining module:Landslide Deformation journey is drawn for carrying out Attribute Recognition analysis according to Reliability Code The corresponding deformation phase of degree.
The system is easy to use, can quick and precisely obtain the deformation phase corresponding to Landslide Deformation degree, and can fit For various landslides, strong applicability.
Further, sequence structure module structure orderly landslide deformation arrangement include the wriggling stage, at the uniform velocity deformation stage, Accelerate deformation stage and face the sliding stage.
Further, each evaluation index factor has grade C in Attribute Measure value computing modulejThe normal state of deformation phase Properties of distributions measure value is:
Wherein, tI, j、uI, jParameter to be estimated is represented, i is landslide x i-th of evaluation index factor measured value;
Landslide Deformation, which has, belongs to grade CjThe synthesized attribute measure value of deformation phase is:
Wherein, w={ w1, w2..., wmBe each evaluation index weight vectors.
Further, landslide deformation phase determining module carries out Attribute Recognition analysis according to Reliability Code and show that landslide becomes The computational methods of deformation stage corresponding to shape degree are:
Wherein, λ is confidence level, and λ=0.7.
In summary, the system judges the deformation stage belonging to landslide.It is obtained visual result, accurate, and for all Landslide can be gone using this method differentiate, strong applicability.
Exemplified by the present embodiment is come down by Qinglong County, Landslide Deformation is divided into wriggling stage, at the uniform velocity deformation stage, acceleration deformation rank Section, face sliding four different phases of stage, respectively with C1To C4Constitute Landslide Deformation degree attribute space ordered partition class.After selection Marginal slit stitches the evaluation index of insertion rate, leading edge deformation extent, 4 indexs of groundwater dynamic and displacement as the Landslide Deformation stage The factor, obtains Landslide Deformation index system as described in Table 1.
The Landslide Deformation stage discretion index system of table 1
Built according to table 1, attribute recognition function of each discriminant criterion on the normal distribution form of each deformation stage.As schemed Shown in 3, Fig. 3 (a) is reinforcement crack passband, and its X-axis is passband percentage, and Y-axis is probability, and 4 waveforms are followed successively by from left to right Wriggling stage, average rate stage, boost phase and face the sliding stage;Fig. 3 (b) is leading edge deformation extent, and its X-axis is marking fraction, is pressed 0-10 points of arrangements, Y-axis is probability, and 4 waveforms are followed successively by wriggling stage, average rate stage, boost phase and face sliding rank from left to right Section;Fig. 3 (c) is groundwater dynamic, and its X-axis is marking fraction, and by 0-10 points of arrangements, Y-axis is probability, and 4 waveforms are from left to right It is followed successively by wriggling stage, average rate stage, boost phase and faces the sliding stage;Fig. 3 (d) is faces the sliding stage, and its X-axis is moon displacement, In units of millimeter, Y-axis is probability, and 4 waveforms are followed successively by wriggling stage, average rate stage, boost phase and face cunning from left to right Stage.The weighted value of the evaluation index factor is determined by analytic hierarchy process (AHP), calculating obtains weights omegai=[0.18,0.19,0.27, 0.36].The attribute test degree of each deformation stage of Qinglong County landslide correspondence is obtained by calculating.Result of calculation is as shown in table 2.
The Qinglong County of table 2 landslide discriminant criterion and calamity point synthesized attribute are estimated
Carry out Attribute Recognition analysis further according to Reliability Code it could be assumed that, Qinglong County landslide is at the uniform velocity deformation stage.
The preferred embodiments of the present invention are the foregoing is only, are not intended to limit the invention, for the skill of this area For art personnel, the present invention can have various modifications and variations.Within the spirit and principles of the invention, that is made any repaiies Change, equivalent substitution, improvement etc., should be included in the scope of the protection.

Claims (10)

1. a kind of method of discrimination of Landslide Deformation degree, it is characterised in that comprise the following steps:
Landslide Deformation degree is divided into the different deformation stage by size, it is orderly according to the sequential configuration of deformation extent from small to large Deformation of coming down is arranged;
Choose the evaluation index on the landslide of Landslide Deformation degree to be judged and calculate each evaluation index factor pair and answer each deformation The Attribute Measure value in stage, the weighted value for obtaining each evaluation index factor is calculated by analytic hierarchy process (AHP), then according to each The weighted value of the evaluation index factor and each evaluation index factor pair answer the Attribute Measure value of each deformation phase to calculate landslide change Shape synthesized attribute measure value;
Attribute Recognition is carried out to synthesized attribute measure value according to Reliability Code and analyzes the shape corresponding to drawing Landslide Deformation degree The change stage.
2. a kind of method of discrimination of Landslide Deformation degree according to claim 1, it is characterised in that the orderly landslide shape Become arrangement include the wriggling stage, at the uniform velocity deformation stage, accelerate deformation stage and face the sliding stage.
3. the method for discrimination of a kind of Landslide Deformation degree according to claim 1, it is characterised in that each described evaluation refers to The mark factor has grade CjThe normal Distribution Attribute measure value of deformation phase is:
<mrow> <msub> <mi>&amp;mu;</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>&amp;Element;</mo> <msub> <mi>C</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <msup> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>u</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msup> </mrow>
Wherein, tI, j、uI, jParameter to be estimated is represented, i is landslide x i-th of evaluation index factor measured value.
4. a kind of method of discrimination of Landslide Deformation degree according to claim 1, it is characterised in that the Landslide Deformation tool Have and belong to grade CjThe synthesized attribute measure value of deformation phase is:
<mrow> <msub> <mi>&amp;mu;</mi> <mi>j</mi> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>w</mi> <mi>i</mi> </msub> <msubsup> <mi>&amp;mu;</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> <mo>&amp;prime;</mo> </msubsup> </mrow>
Wherein, w={ w1, w2..., wmBe each evaluation index weight vectors.
5. the method for discrimination of a kind of Landslide Deformation degree according to claim 1, it is characterised in that described according to confidence level Criterion carries out Attribute Recognition analysis and show that the computational methods of the deformation stage corresponding to Landslide Deformation degree are:
<mrow> <mi>k</mi> <mo>=</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> <mo>{</mo> <mi>g</mi> <mo>:</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mi>g</mi> </mrow> <mn>4</mn> </munderover> <msub> <mi>&amp;mu;</mi> <mi>j</mi> </msub> <mo>&amp;GreaterEqual;</mo> <mi>&amp;lambda;</mi> <mo>,</mo> <mi>g</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mn>4</mn> <mo>}</mo> </mrow>
Wherein, λ is confidence level.
6. a kind of method of discrimination of Landslide Deformation degree according to claim 5, it is characterised in that the confidence level λ= 0.7。
7. a kind of judgement system of Landslide Deformation degree, it is characterised in that including with lower module:
Sequence structure module:For Landslide Deformation degree to be divided into the different deformation stage by size, according to deformation extent from small To big sequential configuration come down in order deformation arrangement;
Attribute Measure value computing module:For the landslide of choosing Landslide Deformation degree to be judged evaluation index and calculate each and comment The Attribute Measure value of each deformation phase of valency index factor correspondence, is calculated by analytic hierarchy process (AHP) and obtains each evaluation index factor Weighted value, each deformation phase is then answered according to the weighted value of each evaluation index factor and each evaluation index factor pair Attribute Measure value calculates Landslide Deformation synthesized attribute measure value;
Come down deformation phase determining module:Landslide Deformation degree institute is drawn for carrying out Attribute Recognition analysis according to Reliability Code Corresponding deformation phase.
8. the judgement system of Landslide Deformation degree according to claim 7, it is characterised in that the sequence structure module structure Make orderly landslide deformation arrangement include the wriggling stage, at the uniform velocity deformation stage, accelerate deformation stage and face the sliding stage.
9. the judgement system of Landslide Deformation degree according to claim 7, it is characterised in that the Attribute Measure value is calculated The evaluation index factor of each in module has grade CjThe normal Distribution Attribute measure value of deformation phase is:
<mrow> <msub> <mi>&amp;mu;</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>&amp;Element;</mo> <msub> <mi>C</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <msup> <mrow> <mo>(</mo> <msub> <mi>x</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>u</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msup> </mrow>
Wherein, tI, j、uI, jParameter to be estimated is represented, i is landslide x i-th of evaluation index factor measured value;
The Landslide Deformation, which has, belongs to grade CjThe synthesized attribute measure value of deformation phase is:
<mrow> <msub> <mi>&amp;mu;</mi> <mi>j</mi> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>m</mi> </munderover> <msub> <mi>w</mi> <mi>i</mi> </msub> <msubsup> <mi>&amp;mu;</mi> <mrow> <mi>i</mi> <mo>,</mo> <mi>j</mi> </mrow> <mo>&amp;prime;</mo> </msubsup> </mrow>
Wherein, w={ w1, w2..., wmBe each evaluation index weight vectors.
10. the judgement system of Landslide Deformation degree according to claim 7, it is characterised in that the landslide deformation phase Determining module carries out the calculating that Attribute Recognition analyzes the deformation stage corresponding to drawing Landslide Deformation degree according to Reliability Code Method is:
<mrow> <mi>k</mi> <mo>=</mo> <mi>m</mi> <mi>a</mi> <mi>x</mi> <mo>{</mo> <mi>g</mi> <mo>:</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mi>g</mi> </mrow> <mn>4</mn> </munderover> <msub> <mi>&amp;mu;</mi> <mi>j</mi> </msub> <mo>&amp;GreaterEqual;</mo> <mi>&amp;lambda;</mi> <mo>,</mo> <mi>g</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mn>4</mn> <mo>}</mo> </mrow>
Wherein, λ is confidence level, and confidence level λ=0.7.
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