The Evaluation and Application of Residential Structure System Based on
Matter-element Model
Sen Yu1，Xiang-ju Liu2
School of management, Xi’an University of Architecture & Technology, Xi’an, 710055, China
Department of Technology,The engineering Co. Ltd of China Construction.He fei ,230000, China
(xyzl955667@163.com,zm31798252@163.com)
1
2
Abstract - According to the progress of building industry,
residential construction model suits to Chinese population,
resource and environment development is required to be
established as soon as possible. Residential industrialization
is the inevitable course of development with premise of new
technology, new material and appropriate structure system.
The paper comprehensively evaluates the current residential
structure by Matter-element theory to chose the most
efficient residential structure system and supply theoretical
basis for investment decisions.
Keywords - The matter-element model, structure system,
comprehensive evaluation, application
I.INTRODUCTION
The current residential structure system contains
Cast-in-situ concrete structure, steel structure, the
assemble type concrete structure with both advantages
and disadvantages.[1] For example, Cast-in-situ concrete
structure is good at safety and durableness, but has a
complex process and a high energy consumption; steel
structure supplies a larger space,[2] needs a shorter
construction period with higher cost, poor refractory and
corrosive resistance and the assemble type concrete
structure charactered a short construction period, energy
efficiency, good quality but single structure form and poor
seismic performance.[3]Consider the above, it is extremely
important to make an overall assessment on residential
structure system in technological and economical
aspects.[4]
Face the different structure of the residential system,
how to carry out the effective evaluation become a key
issues.[5] Until now, our evaluation system has been stayed
at the primary stage, only used construction cost and
energy consumption as main indexes without any analysis
for influence on environment and society nor different
degree of residential technical and economic performance
between different social groups.[6] To solve the question, a
comprehensive evaluation system is called for.
Related Matter-element theory and some qualitative
and quantitative research methods are used in this paper
to evaluated the current residential structure system
scientifically, synthetically and reasonably. Hoping to
give a guidance to the government and real estate
company, in order to promote popularize of the most
effective residential structure and supply scientific basis
for development of Residential industrialization.[7]
II.SELECTTION OF THE CASE
Take a six layer residential building for example, its
total length is 65 m, total width is 12 m, total height is 18
m, every floor area is 780 m2, the construction of the
residential area is 97.5 m2 , seismic intensity is 7 degrees,
the site category is 3 rd. Three types of residential
structures are chosen, the supporting dates are recorded in
table 1:
TABLE I
THE COST DATE
construction cost yuan/m2
energy consumption yuan/m2
Cast-in-situ concrete structure
1430
65
steel structure
1980
72
The assemble type concrete structure
1760
58
structure
III.THE ESTABLISHMENT OF PERFORMANCE
EVALUATING INDICATOR SYSTEMT
The establishment of performance evaluating
indicator system should follow principles like Scientific
principle, systematic principle, operability principle and
others.[8] And residence life cycle is selected as research
object, and indexes of applicability c1, economy c2,
safety durability c3 and Sustainable development c4 are
taken into consideration.[9] Each level index weighs are
calculated by AHP-LSDM, and the results are recorded in
table 2:
IV.THE COMPREHENSIVE EVALUATION BASED
ON THE MATTER-ELEMENT
A. the establishment
evaluation model
of
the
matter-element
1. Determining the matter-element matrix of joint
region, classics region and the matrix to be evaluated
The system of matter-element is an unit to describe
the object, which consists of the name of object N,
characteristic c and the value v of the object’s
TABLE II
Each index Cij relative to the index system of T weights
First grade indexes
weigh
Second grade indexes
applicability C1
0.18
reconstructionC11
flat surface layoutC12
Indoor and outdoor traffic conditionC13
economy C2
0.26
construction costC21
use-costC22
safety durability C3
0.36
durability of construction.C31
durability of decorationC32
Building Fire ProtectionC33
Control of indoor pollution C34
Sustainable development
0.2
building energy saving C41
C4
Green building materials C42
rationality of the water resources
utilizationC43
characteristic c. N, c, v is called the three key elements of
the matter-element.[10]
The normalized form of matter-element is described
as follows: R=[N，c，v]
Usually， an object has more than one characteristic.
Given n characteristics of an object （ c1, c 2 ,  c n , ） and
relevant values （ v1, v 2 ,  v n , ）,which we can use to
describe the object called n-dimension matter-element,
 N c1 v1   R1 
 c v  R 
2
2 
R
  2
recorded as:

    

  
 c n v n   Rn 
(1)Determining the matter-element matrix of partial
unit
 P, c1  a p1 , b p1  

c2  a p 2 , b p 2 

R p  [ P, ci , x pi ] 






cn  a pn , b pn  

In the murderer, P shows the whole effect level,
x pi =  a pi , b pi  shows the value range of domain
object on the characteristic c i .
(2) Determining the matter-element matrix of classics
region
 N j , c1  a j1 , b j1  

c2  a j 2 , b j 2  
R j  [ N j , ci , x ji ]= 




c

a
.
b

n
jn jn


In the murderer, Nj shows j effect levels divided to
evaluate （j=1，2，…m）, c i shows the characteristic
[11]
of effect level Nj（i = 1，2，…n）
， x ji  a ji , b ji 
shows the value range of Nj specified by c i ，that is the
numerical scope of effect level on the characteristics.[12]
（3） determining the matter-element matrix to be
weigh
0.08
0.06
0.04
0.16
0.10
0.16
0.12
0.06
0.02
0.11
0.04
0.05
evaluated
 P0 , c1 x1 

c 2 x 2 

R0 


 


cn xn 

In the murderer, R0shows matter-element to be
evaluated, P0 shows subject matter, x i shows the value of
P0 specified by c i .
2. Determining the correlation function and the
order of evaluation
Correlation function is:
 ( xi , x ji )


( xi  x ji )

x ji

K j ( xi )  
 ( xi , x ji )

( x  x ji )
  ( xi , x pi )   ( xi , x ji ) i

(1)
1
1
 (x i , x ji )  x i - (a ji  b ji )  (b ji  a ji ) (2)
2
2
1
1
 (x i ,x pi )  x i - (a pi  bpi )  (bpi  a pi ) (3)
2
2
3. Determining the comprehensive correlation and
the order of evaluation
n
K j ( P0 )   wij K j ( xi ),
（4）
i 1
In the murderer wij For each characteristics of c ij
is weight coefficient. Evaluation of the level for the
subject matter:
k j  max k j ( p 0 )
（j=1,2,…m）.
B. application in residential structure evaluation system
1. Divising the standard of evaluation result
According the research interview of different
projects and the specialistics, we make the evaluation
Evaluation index
result into four levels in broad outline：excellent, good,
ordinary, bad.[13] See table 3 below:
TABLE III
INDEX LEVEL STANDARD
Excellent
Good
C11reconstruction
 0.75,1 
 0.5,0.75 
C12 flat surface layout
 0.75,1 
C43rationality of the water resources utilization
 0.75,1 
2. Determining the matter-element matrix of joint
region, classics region and the matrix to be evaluated
Ordinary
 0.25,0.5 
 0.25,0.5 
 0.5,0.75 
Bad
 0,0.25 
 0,0.25 
 0.5,0.75 
 0.25,0.5 
 0,0.25 
(1)Determining the matter-element matrix of partial
unit
reconstructionC11
 0,1 
flat surface layoutC12
 0,1 
ationality of the water resources utilizationC43
 0,1 
excellent —bad
Rp  ( P, ci , x pi ) 
（2）Determining the matter-element matrix of
classical domain
reconstructionC11
 0.75,1 
flat surface layoutC12
 0.75,1 
ationality of the water resources utilizationC43
 0.75,1 
excellent,
R1  ( N1 , ci , x1i ) 
reconstructionC11
 0.5, 0.75 
flat surface layoutC12
 0.5, 0.75 
ationality of the water resources utilizationC43
 0.5, 0.75 
good,
R2  ( N 2 , ci , x2i ) 
reconstructionC11
 0.25, 0.5 
flat surface layoutC12
 0.25, 0.5 
ationality of the water resources utilizationC43
 0.25, 0.5 
ordinary,
R3  ( N3 , ci , x3i ) 
reconstructionC11
 0, 0.25 
flat surface layoutC12
 0, 0.25 
ationality of the water resources utilizationC43
 0, 0.25 
bad,
R4  ( N 4 , ci , x4i ) 
(3)Determining the matter-element matrix of
evaluated
Cast-in-situ concrete structure, steel structure and the
assemble type concrete structure are selected as research
TABLE IV
object , through investigation and analysis, can get 12 of
evaluation index of the normalized data, the
matter-element matrix as follows:
NORMALIZED DATE
C12
C13
C21
structure
C11
C22
C31
C32
C33
C34
C41
C42
C43
Cast-in-situ concrete structure
0.91
0.71
0.65
0.47
0.56
0.74
0.65
0.46
0.32
0.43
0.32
0.65
steel structure
0.82
0.68
0.64
0.28
0.24
0.65
0.52
0.42
0.55
0.56
0.46
0.42
he assemble type concrete structure
0.65
0．76
0.85
0.79
0.81
0.68
0.71
0.79
0.81
0.68
0.55
0.78
3. Determining the correlation function and the
order of evaluation.
Take Cast-in-situ concrete structure for example, by
equations（1）、equations（2）and equations（3）can draw
C11—C44 about the level of correlation degree index and
use equations (4) to review that the subject matter P0
about each level of correlation degree, see table 5.
TABLE V
CORRELATION OF THE INDEX
Evaluation index
C11
C12
weigh
0.08
0.06
C43
0.05
Excellent
-0.2222
0.0435
Good
0.4000
-0.0400
Ordinary
-0.3000
-0.5200
Bad
-0.5333
-0.6800
0.1579
-0.1200
-0.5600
-0.7067
0.1784
-0.0142
-0.4998
-0.6664
K j ( p0 )
After the same steps，We can get the result of three
structures about each level of comprehensive correlation
degree ,see table6:
TABLE VI
THREE STRUCTURES ABOUT EACH LEVEL OF CORRELATION DEGREE
structure
comprehensive correlation degree
Cast-in-situ concrete structure
steel structure
assemble type concrete structure
For
the
Cast-in-situ
-0.436
2
0.48
45
0.1784
structure,
k（p）

max
k
(
p
),
j

(1,
2
，
3,
4)
，
2
j
structure,
k（p）
 max k j ( p ), j  (1, 2，
3, 4) ，
1
That means that it belongs to level excellent.
For the assemble type concrete structure,
k（p）
 max k j ( p ), j  (1, 2，
3, 4) ，
1
That means that it belongs to level excellent.
In order to compare the two structures further, after we
get each of the result normalized, we evaluate the results
 max k j ( p ), j  (1, 2...m) ,
secondly. If k （p）
j0
That means that p belongs to level j0. [14] If

K j ( p )  min K j ( p)
max K j ( p )  min K j ( p)
s
s
j =  j  K ( p) /  K ( p)
j
j=1
-0.0834
-0.571
-0.0837
-0.0756
-0.8862
-0.0142
-0.4998
-0.6664
concrete
That means that it belongs to level good.
For
the
steel
K j ( p) 
0.0384
（6）
By equations（6）can draw
j1
= 1.7128 ，

2 =1.5923。Because
j
the Eigenvalue of the variable
level of assemble type concrete structure is closer to 1,
so it biased in favor of the lever excellent higher.
Therefore , We can draw the conclusion that the
assemble type concrete structure is superior to others.
V.CONCLUSIONS AND IMPLICATIONS
The paper first calculates the weigh of indexes by
AHP-LSDM, then make a comprehensive assessment on
three types of structure systems by Matter-element model,
and finally finds that the assemble type concrete structure
is the better choice for its advantages and promotion of
residential industrialization. The research is helpful to
reduce the blindness of invest and promote the research
and development of residential construction system.
j
j=1
That means that j is Eigenvalue of the variable
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
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