Cultural Relics Health Evaluation Based on Cloud Model Approved Analytic of Hierarchy Process

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International Journal of Information and Computer Science (IJICS) Volume 3, 2014 doi: 10.14355/ijics.2014.03.011

Cultural Relics Health Evaluation Based on Cloud Model Approved Analytic of Hierarchy Process Xiaohong Zhang 1,2, Huiqin Wang 3, Zhan Wang 4 School of Management,Xi'an University of Architecture And Technology, Xi'an, China; 2School of Communication & Information Engineering,Xi’an University of Science & Technology,Xi'an, China;3School of Information & Control Engineering,Xi'an University of Architecture & Technology ,Xi'an,China;4 Shaanxi Province Institute of Cultural Relics Conversation and Restoration, Xi'an, China.

1

447973560@qq.com; 2whq463@263.com

*1

Abstract Cultural relics health management includes healthy monitoring ,healthy analysis,and health assessment,in which the method and model structure of the assessment are the most important aspect of the protection of cultural relics.This paper builds the indication system of cultural relics health, in consideration of the ontology state of the cultural relics,disease state,heritage preservation the environment and the security of cultural relics. The improved evaluation methods of heritages health assessment are put forward in this paper, the priority of AHP replaced by cloud model calculates the coefficient weight in the relics health evaluation model. At last,the defferent health index of Tang shun Ling in three dates are compared by the method.

Keywords Cultural Relics; Heath Assessment; AHP; Cloud Model

Introduction The conservation of heritage relies on diagnosis relies on it’s current status and restoration interventions.

Therefore, it is based on various kinds of investigations and analytical data[1].Although many cultural relics administrative departments monitor the environment and condition of cultural relics for many unmovable cultural relics, but health assessment and health assessment is still at the primary stage. At present the research on the evaluation at home and abroad, often using analytic hierarchy process, multiple regression analysis of the fuzzy comprehensive evaluation method, and neural network method.Dr. Chen has preserved the data of collection to the Great Wall in the north of Shaanxi soil sites, but also no health assessment of the overall data[2];Mr. Wu is also aware of the health assessment of cultural relics is of great significance to the 88

protection of cultural relics and research, but also did not find a feasible method to try[3]. Professor Lu has monitored the long-term of the Mogao Grottoes of Dunhuang, has accumulated of a large number of data, but only studied for the relations between the local tourist amount and caves in CO 2 , nor on the caves in the heritage body health condition for a quantified analysis[4].These evaluation methods are different aspects of the evaluation target and its influence factors of uncertainty as an important role in promoting the research of evaluation target. In the aspect of Tang mausoleum stone cultural relics protection,this paper will analaysis the cultural relics protection data of Tangshun mausoleum in China, after accumulating 2 years.It makes analysis on the main factors through using the AHP to geological disasters in the study area, considering the impact of various factors, combined with the protection of cultural relics experts, to evaluate the health status of Tangshun mausoleum stone cultural relics.

Health Status Assessment Index System of Cultural Relics There are very different between health and biological heritage health, a measure of cultural relics healthy is not only on the form and characteristics of relics ontology, but also including the environmental state of preservation, considering the unexpected events such as the geological disasters, man-made destruction of cultural relics. Considering the comprehensive aspects, health evaluation model is established according to the cultural relics of Tangshun mausoleum stone artifacts, as shown in figure 1.

From the cultural relics under the unmovable cultural relics and cultural relics protection monitoring data,

International Journal of Information and Computer Science (IJICS) Volume 3, 2014

We can divide into 3 layers:

FIGURE 1 RELICS HEALTH EVALUATION INDEX SYSTEM

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operations to approximate, not persuasive. In addition, the cultural relics health factor with a precise numerical objective membership on health risk level is very difficult, the existing methods are usually adopted subjective value or empirical formula to give a degree of membership, this process leads to the membership degree of uncertainty[4].

In view of this, the method of multi-level fuzzy comprehensive evaluation using the improved cloud model to construct the heritage health risk prediction model, the key lies oin the evaluation set cloud model cloud model, standard three aspects and the degree of membership function of cloud model, cloud model, each of which are with its corresponding expectations (Ex), entropy (En) and hyper entropy (He)three digital features to characterize, namely C (Ex, En, He).

Among these droplets (Ex) reflect the position of the center of gravity, is health risk level[5].

1.The highest level A is the target layer, it is reasonable to evaluate the health status of Tangshun mausoleum stone cultural relics; 2.The middle layer (B) is the criterion layer, including: the body of the cultural relics, artifacts state (B 1 ) diseases (B 2 ), heritage preservation of the environment (B 3 ) and the safety of the cultural relics (B 4 ); 3.The lowest layer (C 1 -C 21 ) includes project layer: cultural relics, artifacts, age, cultural relics, defect fracture scale, fractured, biological diseases, surface weathering, settlement, air temperature, precipitation, illumination, humidity, dew point, soil temperature, soil humidity, wind speed, SO 2 concentration, CO 2 concentration, earthquake, flood and artificial the theft.

Health Risk Assessment Model of Cultural Relics Improved by Cloud Model In the multilevel fuzzy comprehensive evaluation of cultural relics health model, random and discrete system is mainly reflected in the subjective opinion in part. First of all, the impact of the factors in determining the comparison judgment matrix, in order to avoid expert personal experience and subjective factors on the evaluation results, using the method of group decision making needs to make a decision, but the aggregation method of traditional expert score only simple algebraic operations, but in fact each expert score are inevitably exist fuzziness, randomness and discreteness, the uncertainty between the aggregation operation, using only simple algebraic

FIGURE 2 THE PROCESS OF THE COMPREHENSIVE EVALUATION OF HERITAGE HEALTH RISK MODEL OF MULTIPLE FUZZY CLOUD MODEL IMPROVED

Health risk influence factor weight and the membership degree of central value respectively[6]; entropy (E n ) to describe the fuzziness and randomness of cloud droplets, which reflects the health risk level, health risk effects may range of factor weight and membership degree; excess entropy (H e ) is entropy, is used to describe the thickness of the cloud, mainly reflects the degree of discrete droplets, respectively,

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International Journal of Information and Computer Science (IJICS) Volume 3, 2014

said health risk level[7], health risk influence factor weight and membership degree of deviation from the center value. Improved health risks specific cultural relics of multilevel fuzzy comprehensive evaluation model by using the cloud model to realize the process shown in figure 2.

In this paper, the cloud model scaling to construct the judgment matrix, and then calculate the factor weight of induced culture relics health risk by square root method. Comparison of two two rows in the judgment matrix elements are calculated, then obtains the formula weights shown cloud expectations (Ex), entropy (En) and hyper entropy (He) formula[8]: 1

= Exi 0

Eni 0 =

Exi = ∑ Exi

 n n Exij  ∏  j =1  1

 n n ∑  ∏ Exij  i =1  j =1 

ij

Eni = ∑ Eni

1

n n Enij   ∑ j =1 E x   ij

1

 n n n Enij )2  ∑  ∏ Ex ∑ (  j =1 =i 1  = j 1 Ex   n

ij

ij

= Hei 0

Hei = ∑ Hei

 n  ∏ Ex  j =1 

ij

1

Heij  n  ∑ j =1 E x   n

The cultural relics management department determine the integrity of the artifacts, including unexplained missing parts, but does not affect the stability of the existing part of the heritage. Paul Winter is complete, Heritage defect is defined as 1; 3) Heritage Fracture Heritage fractureindicates relics damaged condition, mainly on the stability of the existing heritage considerations, there is no obvious fracture, better stability, and therefore is a cultural break.

The value of the settlement, cracks, rust water, air temperature, atmospheric humidity, rainfall, light intensity, dew point, wind speed, CO 2 concentration, SO 2 concentration, soil temperature, soil moisture and other parameters can be completed every 10 minutes through the Heritage Health Monitoring Network System a sample and therefore need to be calculated as the average daily input. Due to the large gap between the mean range of different parameters, so do the normalization processing for all the mean value between 0-1.

5) Biological Diseases

ij

1 n

n  n n Heij )2  ∑  ∏ Ex ∑ (  j =1 =i 1  = j 1 Ex   ij

ij

Comprehensive Evaluation Results and Analysis According Tang Shunling East HAVEN monitoring data, the monitoring data has been collected and processed during September 1st, October 1st and November 1 in 2013.

Operating Rules 1) Age of Relics Given the age and cultural heritage into the health of the reverse relationship, so that: Age is less than 500 artifacts, relics Age entry is 3; If artifacts age is between 500 and 1500, the age relics term value is 2; Age is greater than 1500 artifacts, relics Age value

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2) Heritage Defect

4) Normalization Processing

n

 n  ∏ Ex  j =1 

of 1; Tang Shunling heritage with the age of 2;

Given by disease,the severity biological heritage sector experts think existing biological disease less severe, a value of 2; 6) Weathered Surface The surface weathering, including cavities, crisp base, is based on the surface area and severity weathered joint decision, therefore, some experts are given a value of 2; 7) Earthquake, Flood, Theft Man Cultural heritage security issue is a serious health condition affecting normal circumstances is 0, the direct inclusion of the cultural health hazard ranks when problems arise.

Establishment of Judgment Matrix 1) Establishment of A-B Judgment Matrix According to the state heritage body system (B 1 ), Heritage disease cases (B 2 ), cultural preservation of the environment (B 3 ) and cultural security (B 4 ) the

International Journal of Information and Computer Science (IJICS) Volume 3, 2014

relative importance of the target layer, was AB judgment matrix (shown in Table 1).

A B1 B2 B3 B4

B1 1 1/3 1/2 1/2

B2 3 1 3/2 3

TABLE 4 B3-C JUDGMENT MATRIX

B2 C9 C9

TABLE 1 A-B JUDGMENT MATRIX

B3 2 2/3 1 1

B4 2 2/3 1 1

= w1

n

n

a1 j ∏=

4

j =1

1*3* 2* = 2

= 12 1.861

C 10 C 11 C 12 C 13 C 14

1

2/5

1 ( Aw )i 4.0404 = ∑ n i =1 wi

W 0.208

3/2

1

1/2

3/2

1/2

1

3/2

1

0.083

2/3

4/3

1

1/3

2/3

1

2/3

0.126

C 12 5/2

1

3/2

1

2

3/2

1/2

1

3/2

1

0.083

C 13 5/4

2

3

2/3

1

3

1

2

3

2

0.041

C 14 5/3

2/3

1

2/3

1/3

1

1/3

2/3

1

2/3

0.126

2

3

2

1

3

1

2

3

2

0.041

C 16 5/2

1

3/2

1

1/2

3/2

1/2

1

3/2

1

0.083

C 17 5/3

2/3

1

2/3

1/3

1

1/3

2/3

1

2/3

0.126

C 18 5/2

1

3/2

1

1/2

3/2

1/2

1

3/2

1

0.083

5

λ max=3.204, CR=0<0.1

= n −1

Therefore the judgment matrix are in good agreement.

2) Establishment of Judgment Matrix B-C BC judge to determine and calculate the feature vector matrix (see Table2,3,4,5) according to the same rules.

TABLE 2 B1-C JUDGMENT MATRIX

C2 2 2 3/2

C 10 1 3/2 1/2

C 11 2/3 1 1/3

C 12 2 3 1

W 0.333 0.500 0.167

λmax = 3 , CR=0<0.1

3) The Total Level Sorting

λMAX − n

C3 3 2/3 1

W 0.210 0.240 0.550

λmax = 3.0735 ,CR=0.063<0.1 TABLE3 B2-C JUDGMENT MATRIX

C5 2 1 2/3 1 2/3

2/5

As can be seen, all single sort of CR <0.1, each judgment matrix consistency is considered acceptable.

n

0.0104 = 0.003467， 3 CI RI = 0.89 , CR = = 0.003895 < 0.1， RI

C4 1 1/2 1/3 1/2 1/4

3/5

3/5

test

Its consistency test results,

B2 C4 C5 C6 C7 C8 test

2/5

1

B4

Largest igenvalue,

test

C 15 C 16 C 17 C 18 1/5

2/3

C 19 C 20 C 21

w = (0.122, 0.424, 0.227, 0.227)Τ

C1 1 1/2 1/3

3/5

TABLE 5 B4-C JUDGMENT MATRIX

After normalized feature vector obtained,

B1 C1 C2 C3

1/5

test

4

,= w2 0.5373,,= w3 1,= w4 1 ,

= CI

2/5

C 11 5/3

Similarly obtained

= λMAX

3/5

C 10 5/2

C 15

Calculated using the square root method of its largest eigenvalues and eigenvectors as follows:

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C6 C7 3 2 3/2 1 1 2/3 3/2 1 1 2/3 λ max=3, CR=0<0.1

C8 4 2 4/3 2 1

W 0.091 0.182 0.272 0.182 0.363

Obtained at the right is a set of elements in a layer of an element and its weight vector. To finally get the elements of each program especially for the lowest sort of target weight, we need for the total order. The total order is the same level as the relative importance of all the factors that the target layer (top) of the sort weights. The total order is important right from top to bottom of the right to a single criterion under heavy synthesis [9].

ABC matrix for the total order, Cw weighting matrix for the AB and BC are the product of the weight matrix, the ultimate target layer C layer relative weighting factor Cw[10]. The results are shown in Table 6.

The main indicators of age relics, artifacts defect, cultural rupture, water, rust, cracks, biological diseases, surface weathering, sedimentation, air temperature, precipitation, light, atmospheric humidity, dew point, soil temperature, wind speed, soil moisture, SO 2 concentration, CO 2 concentration, value earthquakes, floods, and other man-stealing in Table 7.

This paper uses the normalized method of the relative value of interval to process the data as the formula(1):

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International Journal of Information and Computer Science (IJICS) Volume 3, 2014

Xâ&#x20AC;˛ i (j) =(X i (j) - minX i (j))/(max j X i (j) - min j X i (j)) .

The result is displayed in table 8.

After calculation, the three-day health index values can know thatthe maximum value for the rainy day, health risk index is the worst at the first day of the three days.

TABLE 6 A-C TOTAL SORT OF JUDGMENT MATRIX

B1

B2

B3

B4

(Cw)

C1

0.210

0.02562

C2

0.240

0.0504

C3

0.550

0.132

C4

0.091

0.038584

C5

0.182

0.077168

C6

0.272

0.115328

C7

0.182

0.077168

C8

0.363

0.033033

C9

0.208

0.047216

C 10

0.083

0.047216

C 11

0.126

0.018841

C 12

0.083

0.028602

C 13

0.041

0.018841

C 14

0.126

0.009307

C 15

0.041

0.028602

C 16

0.083

0.009307

C 17

0.126

0.018841

C 18

0.083

0.028602

C 19

0.333

C 20

0.500

0.075591 0.1135

C 21

0.167

0.037909

TABLE7 TABLE THREE-DAY AVERAGE

92

Item

1/9/2013

10/1/2013

Age of relics

2

2

1/11/2013 2

Heritage defect

1

1

1

Heritage fracture

1

1

1

Water rust

2

2

2

Fracture

0.01327

0.01313

0.0128

Biological disease

1

1

1

Surface weathering

2

2

2

Settlement

0.156

0.159

0.153

Atmospheric temperature

25.6

25.28

7.2

Precipitation

14.7

3.0

0

Illumination

5902.01

29671

30336.2 71.2

humidity

98.83

80.64

Dewpoint

17.98

11.34

1.32

Soil temperature

26.39

24.6

21.63

Wind velocity

0.728

0.395

0.39

Soil moisture

19

18.56

17.89

SO2 Concentration

0.23

0.41

0.18

CO2 Concentration

634

598

638

Earthquake

0

0

0

Flood

0

0

0

Artificial theft

0

0

0

TABLE8 DATA NORMALIZED RESULTS

Item

1/9

10/1

1/11

Age of relics

1

1

1

Heritage defect

1

1

1

Heritage fracture

1

1

1

Water rust

1

1

1

Fracture

1

0.702

0

Biological disease

1

1

1

Surface Weathering

1

1

1

Settlement Atmospheric temperature Precipitation

0.5

1

0

1

0.983

0

1

0.204

0

Illumination

0

0.97278

1

Atmospheric humidity

1

0.3416

0

Dewpoint

1

0.6122

0

Soil temperature

1

0.6239

0

Wind velocity

1

0.0148

0

Soil moisture

1

0.6036

0

SO 2 Concentration

0.2174

1

0

CO 2 Concentration

0.9

0

1

Earthquake

0

0

0

Flood

0

0

0

Artificial theft

0

0

0

Conclusions This paper designs the the multilevel fuzzy comprehensive evaluation of cultural relics health model improved by cloud model, whichi can reduce s the the subjective opinion in part. In use of the techonogy of the internet of things,this method calculates monitoring data of the heath influence factors ,and uses the cloud model to evaluated the risk indcator to the Tangshun Ling.

ACKNOWLEDGMENT

This paper is items,including:

supported

by

some

foundation

1 National Technology Support Project of the Ministry of Science and Technology during the Twelfth Five Year Plan (ID:2012BAK14B01) ; 2 National Ministry of education, the Returned Overseas Students Science and Technology Support Project (ID:K05055); 3 Xi'an University of Science and Technology ResearchCultivation Project (ID:201256) .

4.Scientific Research Fund of Hebei Education Department. (ID: QN2014334)

Provincial

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Xiaohong Zhang, Female, 1978.10- , doctor, lecture. She works in School of Communication & Information Engineering, Xi’an University of Science and Techonolgy, mainly reserchs the internent of things including data processing, data mining, security managment.

Huiqin Wang, Female, 1970.5- , doctor director, profession.

She works in School of Information & Control Engineering, Xi'an University of Architecture & Technology, mainly do the research about information intellegence process and data managemnt.

Zhan Wang, male, 1973.10- , Associate Research Fellow. He works in Shaanxi Province Institute of Cultural Relics Conversation and Restoration, and mainly research the Conversation and Restoration of Cultural Relics by information technology.

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