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The 3rd ISPRS Workshop on Dynamic and Multi-Dimensional GIS & the 10th Annual Conference of CPGIS on Geoinformatics

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fullscreen: The 3rd ISPRS Workshop on Dynamic and Multi-Dimensional GIS & the 10th Annual Conference of CPGIS on Geoinformatics

Monograph

Persistent identifier:: 856566209

Author:: Chen, Jun

Title:: The 3rd ISPRS Workshop on Dynamic and Multi-Dimensional GIS & the 10th Annual Conference of CPGIS on Geoinformatics

Sub title:: May 23 - 25, 2001, Bangkok, Thailand

Scope:: VI, 434 Seiten

Year of publication:: 2001

Place of publication:: Pathumthani, Thailand

Publisher of the original:: AIT

Identifier (digital):: 856566209

Illustration:: Illustrationen, Diagramme, Karten

Language:: English

Usage licence:: Attribution 4.0 International (CC BY 4.0)

Publisher of the digital copy:: Technische Informationsbibliothek Hannover

Place of publication of the digital copy:: Hannover

Year of publication of the original:: 2016

Document type:: Monograph

Collection:: Earth sciences

Chapter

Title:: INTEGRATION OF COMPACTNESS MEASUREMENT METHODS USING FUZZY MULTICRITERIA DECISION MAKING : A NEW APPROACH FOR COMPACTNESS MEASUREMENT IN SHAPE BASED REDISTRICTING ALGORITHM. Yinchai WANG

Document type:: Monograph

Structure type:: Chapter

Contents

Table of contents

The 3rd ISPRS Workshop on Dynamic and Multi-Dimensional GIS & the 10th Annual Conference of CPGIS on Geoinformatics
Cover
ColorChart
Title page
PREFACE
Conference Venue
CONTENTS
DISTRIBUTION ANALYSIS AND AUTOMATIC GENERALIZATION OF URBAN BUILDING CLUSTER. Tinghua AI
GENERALIZATION FOR 3D GIS. Fengwen BAI, Xiaoyong CHEN
USING IKONOS HIGH RESOLUTION REMOTE SENSING DATA FOR LAND USE CLASSIFICATION IN CHINA. Georg BARETH
LARGE SCALE GIS FOR A SUBURBAN TOWNSHIP OF BEIJING TO MODEL STRATEGIES FOR SUSTAINABLE AGRICULTURE ON FIELD LEVEL. Georg BARETH, Si JIN, Tailai YAN and Reiner DOLUSCHITZ
THREE LEVEL HIERARCHICAL QUALITATIVE DESCRIPTIONS FOR DIRECTIONS OF SPATIAL OBJECTS. Han CAO, Jun CHEN, Daosheng Du
THE APPLICATION OF CENTROGRAPHIC ANALYSIS TO THE STUDY OF THE INTRA-URBAN MIGRATORY PHENOMENON IN THE GREATER MONCTON AREA IN CANADA, 1981-1996. Huhua CAO
PER-FIELD CLASSIFICATION INTEGRATING VERY FINE SPATIAL RESOLUTION SATELLITE IMAGERY WITH TOPOGRAPHIC DATA. Mauro CAPRIOLI, Eufemia TARANTINO
INTEGRATION OF GIS WITH PESTICIDES LOSSES RUNOFF MODEL. Bing CHEN, Gordon HUANG, Jonathan LI, Yueren LI, and Yifan LI
RESEARCH ON 3D CITY VISUALIZATION BASED ON INTERNET. Jing CHEN, Qingquan Ll, Jianya GONG, Bisheng YANG
DYNAMIC AND MULTI-DIMENSIONAL GIS: AN OVERVIEW. Jun CHEN, Zhilin LI, Jie JIANG
A GIS-SUPPORTED ENVIRONMENTAL RISK ASSESSMENT FOR PETROLEUM WASTE CONTAMINATED SITE. Su Chen, Gordon Huang, and Jonathan Li
MEASURING UNCERTAINTY IN SPATIAL FEATURES IN A THREE-DIMENSIONAL GEOGRAPHICAL INFORMATION SYSTEM. Chui Kwan CHEUNG and Wenzhong SHI
SPATIAL DEVELOPMENT RESEARCH OF LARGE CITY BASED ON GIS SPATIAL ANALYSIS. Anrong DANG, Qizhi MAO, Xiaodong WANG
DIGITAL CLOSE RANGE PHOTOGRAMMETRY: A POTENTIAL TOOL FOR LAND FEATURE PRESENTATION. Gang DENG
3D SPATIAL OBJECTS MODELING AND VISUALIZATION BASED ON LASER LANGE DATA. Jie DU, Apisit EIUMNOH, Xiaoyang CHEN, Michiro KUSANAGI
3D REPRESENTATION AND SIMULATION OF MINING SUBSIDING LAND BASED ON GIS, DPS AND GPS. Peijun DU, Dazhi GUO and Qihao WENG
USE DSM/DTM TO SUPPORT CHANGE DETECTION OF BUILDING IN URBAN AREA. Hong FAN, Jianqing ZHANG, Zuxun ZHANG, Zhifang LIU
ENHANCE MANAGEMENT LEVEL OF URBAN WATER SUPPLY DEPARTMENT WITH 3S TECHNOLOGY. Yewen FAN and Wei WANG
AUTOMATIC REGISTRATION OF SATELLITE IMAGE TO MAP. Kensaku FUJII
DIFFERENTIAL SATELLITE POSITIONING OVER INTERNET. Ying. GAO and Zhi. LIU
FEDERATED SPATIAL DATABASES AND INTEROPERABILITY. Jianya GONG, Yandong WANG
OPTIMIZING PATH FINDING IN VEHICLE NAVIGATION CONSIDERING TURN PENALTIES AND PROHIBITIONS. Gang HAN, Jie JANG, Jun CHEN
DEVELOPMENT OF DYNAMIC MANAGEMENT SPATIAL-TEMPORAL INFORMATION SYSTEM AND APPLICATION FOR CENSUS DATA- TOWARD ASIAN SPATIAL TEMPORAL GIS (ST-GIS) (2)-. Michinori HATAYAMA, Shigeru KAKUMOTO, Hiroyuki KAMEDA
MODELING LAND USE EFFECT ON URBAN STORM RUNOFF AT THE WATERSHED SCALE. Chansheng HE
EXTRACTION OF THE SEA OIL INFORMATION FROM TM AND AVHRR IMAGE BY THE METHOD OF FEATURE DATA LINE -WINDOW. Fengrong HUANG
THE APPLICATION OF NEURAL NETWORK AND FUZZY SET TO CLASSIFICATION OF REMOTELY SENSED IMAGERY. Dongmin HUO, Jingxiong ZHANG, Jiabing SUN
A SELF-ADAPTIVE ALGORITHM OF AUTOMATIC INTERIOR ORIENTATION FOR METRIC IMAGES. Wanshou JIANG, Guo ZHANG, Deren LI
DETECTION OF SHEER CHANGES IN AERIAL PHOTO IMAGES USING AN ADAPTIVE NONLINEAR MAPPING. Yukio KOSUGI, Munenori FUKUNISHI, Mitsuteru SAKAMATO, Wei LU and Takeshi DOIHARA
EFFECTIVENESS OF MENU-DRIVEN VS. SCRIPT-BASED GIS TUTORIAL SYSTEMS. Bin LI
BUILDING OF B/S-BASED OBJECT ORIENTED ELECTRONIC CHART DATABASE. Guangru LI, Shaopeng SUN, Depeng ZHAO
MINE GIS 3D DATA MODEL AND SOME THINKING. Q. Y. LI, D. Y. CAO, X. D. ZHU
THE RESEARCH OF THE INFINITELY VARIABLE MAP SCALE IN GIS. Yifan LI, Shaopeng SUN
RESEARCH ON INFORMATION AUTOMATIC GENERALIZATION WITH VARYING MAP SCALE. Yuanhui LI, Dan LIU, Yifan LI
QUANTITATIVE MEASURES FOR SPATIAL INFORMATION OF MAPS. Zhilin LI and Peizhi HUANG
AN ALGEBRA FOR SPATIAL RELATIONS. Zhilin LI, Renliang ZHAO and Jun CHEN
A STUDY ON THE EXTRACTION OF DEM FROM SINGLE SAR IMAGE. Mingsheng LIAO, Jie YANG, Hui LIN
A GIS-BASED ENVIRONMENTAL DECISION SUPPORT SYSTEM FOR THE ERHAI LAKE WATERSHED MANAGEMENT. Lei LIU, Gordon HUANG, and Jonathan LI
APPLICATION OF 4D AND ASSOCIATED ENABLING TECHNOLOGIES FOR URBAN DECISION SUPPORT SYSTEM. Rong LIU, Penggen CHENG, Zhuguo XING, Kaiyun LU
3D RECONSTRUCTION OF A BUILDING FROM SINGLE IMAGE. Yawen LIU, Zuxun ZHANG, Jianqing ZHANG
AN INTELLIGENT GIS SEARCH ENGINE TO RETRIEVE INFORMATION FROM INTERNET. Zhe LIU, Yong GAO
AN ENHANCED TIN GENERATION METHOD FOR USING CONTOUR LINE AS CONSTRAINS. Wei LU, Takeshi DOIHARA
NON-LINEAR RECTIFICATION OF MAP WITH COLLINEAR CONSTRAIN. Wei LU, Takeshi DOIHARA
A STUDY ON VEHICLE POINT CORRECTING ALGORITHM IN GPS/AVL SYSTEMS. HongShan NIU, Jie XU, Hong LI
A SPATIO-TEMPORAL GEOGRAPHIC INFORMATION SYSTEM BASED ON IMPLICIT TOPOLOGY DESCRIPTION: STIMS. Yutaka OHSAWA, Atushi NAGASHIMA
APPLICATION OF VRML IN A DYNAMIC AND MULTI-DIMENSIONAL DIGITAL HARBOR. Mingyang PAN, Yifan LI, Depeng ZHAO
A COMMON DATA MODEL AND REQUESTING LANGUAGE FOR SPATIAL INFORMATION MARKETPLACES. Matthew Y. C. PANG, Wenzhong SHI, Geoffrey SHEA
TOPOLOGIC DATA STRUCTURE FOR A 3D GIS. Mattias Pfund
AUTOMATIC RECOGNITION AND LOCATION OF ROAD SIGNS FROM TERRESTERIAL COLOR IMAGERY. Sompoch PUNTAVUNGKOUR, Xiaoyang CHEN, Michiro KUSANAGI
A NEW STEREO MATCHING APPROACH USING EDGES AND NONLINEAR MATCHING PROCESS OBJECTED FOR URBAN AREA. Mitsuteru SAKAMOTO, Wei LU, Pingtao WANG
MINING SEQUENTIAL PATTERN FROM GEOSPATIAL DATA. Yin SHAN
THE ADVANCED GIS AND GPS TECHNOLOGIES TO BE USED IN THE LANCHANG BASIN AREA OF YUNNAN PROVINCE OF CHINA. Kun SHI
PRIMARY SPATIAL CHANGES. Hong SHU, Christopher GOLD and Jun CHEN
INCORPORATING 3D GEO-OBJECTS INTO AN EXISTING 2D GEO-DATABASE: AN EFFICIENT USE OF GEO-DATA. Jantien STOTER, Peter VAN OOSTEROM
A FRAMEWORK FOR AUTOMATED CHANGE DETECTION SYSTEM. Haigang SUI, Deren LI, Jianya GONG
BUILDING DISTRIBUTED GEOGRAPHIC INFORMATION SYSTEM FOR OCEAN TRANSPORTATION (GIS-OT). Shaopeng SUN, Guangru LI, Depeng ZHAO
COMPUTATION OF ACCURACY ASSESSMENT IN THE INTEGRATION OF PHOTOGRAPH AND LASER DATA. Taravudh TIPDECHO & Xiaoyong CHEN
PROXIMITY AND ACCESSIBILITY TO SUITABLE JOBS AMONG WORKERS OF VARIOUS WAGE GROUPS. Fahui WANG
WEB MAPPING WITH GEOGRAPHY MARKUP LANGUAGE. Xingling WANG, Chongjun YANG, Donglin LIU
INTEGRATION OF COMPACTNESS MEASUREMENT METHODS USING FUZZY MULTICRITERIA DECISION MAKING : A NEW APPROACH FOR COMPACTNESS MEASUREMENT IN SHAPE BASED REDISTRICTING ALGORITHM. Yinchai WANG
GIS-BASED SYSTEM FOR RAINFALL ESTIMATION USING RAINGAUGE DATA: A PROTOTYPE. Yinchai WANG, Teck Kiong SIEW
A NEW APPROACH FOR DISTRIBUTED GIS. Yuxiang WANG, Chongjun YANG, Donglin LIU
GEOD2D: A FLEXIBLE SOLUTION FOR GIS DATA EXCHANGE BASED ON COM. Huayi WU, Xinyan ZHU
GEOLOGICAL DATA ORGANIZATION FOR FEM BASED ON 3D GEOSCIENCE MODELING. Lixin WU, Enke HOU, Chunan TANG
DIGITAL MODEL AND GPS BASED PATH REPRESENTATION AND OPTIMIZATION. Linyuan XIA
AN COMPOSITE TEMPORAL DATA MODEL IN CADASTRAL INFORMATION SYSTEM. Changsheng XUE, Qingquan LI, and Bisheng YANG, Yuanchun HUA, Shiwu XU
A SPATIAL-TEMPORAL DATA MODEL FOR MOVING AREA PHENOMENA. Shanzhen Yl, Yong ZHONG, Lizhu ZHOU, Jun CHEN, Qilun LIU
CONSTRUCTION OF 3D MODELS FOR ELEVATED OBJECTS IN URBAN AREAS USING AIRBORNE SAR POLARIMETRIC DATA. Yalkun YUSUF, Masashl MATSUOKA, Fumio YAMAZAKI, Seiho URATSUKA, Tatsuharu KOBAYASHI, Makoto SATAKE
COASTAL GIS: FUNCTIONALITY VERSUS APPLICATIONS. Thomas Q ZENG, Qiming ZHOU, Peter COWELL and Haijun HUANG
CIS AIDED CHARACTERIZATION OF SOIL AND GROUNDWATER ARSENIC CONTAMINATION IN SOUTHERN THAILAND. Jianjun ZHANG, Xiaoyong CHEN, Preeda PARKPIAN, Monthip Sriratana TABUCANON, Janewit WONGSANOON, Kensuke FUKUSHI, Skorn MONGKOLSUK and N.C.THANH
MULTIRESOLUTION TERRIAN MODEL. Jin ZHANG
A TROUS WAVELET DECOMPOSITION APPLIED TO DETECTING IMAGE EDGE. Xiaodong ZHANG, Deren LI
RESEARCH OF THE LAND MANAGEMENT INFORMATION SYSTEM BASED ON WEB GIS AND SPATIAL DATABASES FOR PROVINCIAL AND LOCAL GOVERNMENTS IN CHINA. Junsan ZHAO, Yaolong ZHAO, Qiaogui ZHAO and Tao WEI
ANALYSING BRANCH BANK CLOSURES USING GIS AND THE SMART MODEL. Lihua ZHAO, Barry J. GARMER
QTM-BASED ALGORITHM FOR THE GENERATING OF VORONOI DIAGRAM FOR SPHERICAL OBJECTS. Xuesheng ZHAO, Jun CHEN
MODELING AND LANDSCAPE OF HIGHWAY CAD. Jiaqing ZHENG, Xi’an ZHAO, Chujiang CHEN
ASSISTING THE DEVELOPMENT OF KNOWLEDGE FOR PREDICTIVE MAPPING USING A FUZZY C-MEANS CLASSIFICATION. A-Xing ZHU, Edward ENGLISH
THE DESIGN AND IMPLEMENTATION OF CYBERCITY GIS (CCGIS). Qing ZHU, Deren LI, Yeting ZHANG, Hanjiang XIONG
3D COMPUTER SIMULATION OF ANCIENT CHINESE TIMBER BUILDINGS. Yixuan ZHU, Jie YANG, Deren LI
3D MODELLING FOR AUGMENTED REALITY. Siyka ZLATANOVA
THE DESIGN OF SPATIAL DATA WAREHOUSE. Yijiang ZOU
AUTHOR INDEX
Cover

Full text

1SPRS, Vol.34, Part 2W2, “Dynamic and Multi-Dimensional GIS", Bangkok, May 23-25, 2001 
307 
Cj, leading to the determination of a decision matrix for the 
alternatives, and (d) a weighting vector (referred to as criteria 
weights) representing the relative importance of the evaluation 
criteria with respect to the overall objective of the problem. 
Then, this research uses a FMCDM approach based on the 
synthesis of the following concepts, including (a) fuzzy set 
theory, (b) AHP, (c) a-cut concept, and (d) Decision maker 
(District Planner), DM’s attitude towards risk. By using the fuzzy 
numbers defined, a fuzzy reciprocal judgement matrix for the 
decision matrix for m criteria and n alternatives is given as 
X = 
*11 
*12- 
"*1 m 
*12 
*22 • 
”*2 m 
_*„1 X n2 
(1.1) 
where x tj represent the linguistic assessments of the 
performance rating of alternative A t (i = 1,2,...«) with respect to 
criterion Cj(j = 1,2,...m) • The decision matrix is to be given by 
the DM based on the term set being defined in Figure 2. 0. 
z 
r 
a 
Z 
X' 
2 a 
X 
na _ 
(1.5) 
In this integrated shape based redistricting model, X = 1, X = 
0.5, and X = 0 are used to indicate that the DM involved has an 
optimistic, moderate, or pessimistic view respectively. An 
optimistic DM is apt to prefer higher values of his/her fuzzy 
assessments, while a pessimistic DM tends to favor lower 
values. 
The evaluation criteria or compactness measurement index in 
this model is a relative measure and not an absolute measure. 
When the district planner compare two districts, they will not ask 
“How do these districts score?” but “Which district is more 
compact?”. Therefore, to evaluate the similarity of relative 
compactness judgments between each pair of measures, 
normalization may need to be considered. Therefore, to facilitate 
the vector matching process, a normalization process in regard 
to each criterion is applied to (1.5) by using (1.6), resulting in a 
normalized performance matrix expressed as in (1.7). 
The weighing vectors for the evaluation criteria can be given 
directly by the Decision maker or obtained by using pain/vise 
comparison of the AHP. The weighting vectors IN of the 
linguistics term for the criteria is as follow: 
W = (w l ,w 2 ,...,w m ) 
(1.2) 
A fuzzy performance matrix representing the overall 
performance of all alternatives with respect to each criterion can 
therefore be obtained by multiplying the weighting vector by the 
decision matrix. The arithmetic operations on these fuzzy 
numbers are based on interval arithmetic. 
w i*n +w 2 x u +... + w n x Un 
w,x ]2 + w 2 x 22 +w n x 2m 
_ w .*»i +w 2 x n2 +...+ w n x nm 
(1.3) 
By using a a-cut 
Vae[0,ll 
A „ = K» a "] = [0 2 -a x )a + a,,-(a 3 -a 2 )a + a 3 ] 
On the performance matrix (1.3), an interval performance matrix 
can be derived as in (1.4), where 0 <a<l. The value of 
a represents the DM’s degree of confidence in his/her fuzzy 
assessments regarding alternative ratings and criteria weights. A 
larger avalué indicates a more confident DM, meaning that the 
DM’s assessments are closer to the most possible value a 2 of 
the triangular fuzzy numbers (a,, a 2 , a 3 ). 
z = 
K.zi] 
I 
(1.4) 
LK,r“]J 
Incorporated with the DM’s attitude towards risk using an 
optimism index X, an overall crisp performance matrix is 
calculated as in (1.5), where 
(1.6) 
(1.7) 
The values of N* indicate the degree of preference with respect 
to the alternatives for fixed pc and X, respectively where 
a e [0,1], A e [0,1] Indeed, this value is the enhanced 
compactness index (ECI), which consider both of the 
compactness measurements or evaluation criteria earlier. 
Therefore, the larger the value, the more the preference of the 
alternative. 
In summarizing the Fuzzy-AHP method for getting the enhanced 
compactness measurement index above, this research present 
the steps required for the algorithm in Figure 4. 0. 
(1) Formulate redistricting decision problem as multi 
criteria problem 
(2) Identify the hierarchical structure of the problem 
(3) Define membership function for each criteria 
(4) Apply IF-THEN decision rules to assign a linguistic 
and numeric value of each criteria variable 
(5) Obtain decision matrix by fuzzy number as expressed 
in (1.1) using AHP method based on fuzzy number 
defined and Figure 3.0 
(6) Obtain weighting vector for the criteria as expressed 
in (1.2) using AHP method based on fuzzy number 
defined and Figure 3.0 
(7) Obtain fuzzy performance matrix (1.3) by multiplying 
the decision matrix obtained at step 4 by the 
weighting vector determined at step 5 
(8) Obtain interval performace matrix (1.4) by a-cuts on 
the performance matrix determined at step 6 
(9) Obtain crisp performace matix (1.5) by DM’s attitude 
towards risk represented by an optimism index X 
(10) Calculate normalized performace matrix (1.7) by (1.6) 
(11) Get the enhanced compactness index 
Figure 4. 0: Algorithm for the Fuzzy-AHP for this study

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