Theory and approaches of unascertained group decision-making

254 Pages·2013·3.107 MB·English

by  Jianjun Zhu

Mathematics Z
Systems Evaluation, Prediction and Decision-Making Series
Tackling the question of how to effectively aggregate uncertain preference h
information in multiple structures given by decision-making groups, Theory u
THEORY AND
and Approaches of Unascertained Group Decision-Making focuses on group
aggregation methods based on uncertainty preference information. It expresses
the complexity existing in each group decision-making process by employing
APPROACHES OF
complex networks and studying various methods of aggregating preference
information from various unascertained, time-series based decision-making U
groups’ structures. N
A UNASCERTAINED GROUP
Written by Jianjun Zhu, director of the Chinese Society for Optimization, Overall S
C
Planning, and Economic Mathematics, the book starts by examining case studies
ET DECISION-MAKING
of group decision-making. It discusses consistency measuring and ranking
H
R
methods of interval number reciprocal judgment matrix and interval number
E
T
complementary judgment matrix. Next, it presents an unascertained number AO
preference and a three-point interval number preference. IR
N
Y
• Covers the decision-making mechanism of unascertained E
preference information DA
N
• Considers aggregation of unascertained preference information G
D
R
• Examines various methods of aggregating preference information
OA
in dynamic environments
UP
P
Investigating linguistic preferences, the text provides two consistencies definitions. P
R

It considers the aggregating methods of several uncertain preferences as well as the
D
O
multistage aggregating model of uncertain preference. The final chapter proposes EA
an aggregating model of multistage linguistic information based on TOPSIS. C
C
I
SH
The research in this book is supported by a number of scientific foundations from
IE
the People’s Republic of China, including the National Natural Science Foundation OS
N
of China; the Social Science Foundation of China, Jiangsu Province; and the Soft
O
Science Foundation of China. -M
F
A
K
I
N
G
JIANJUN ZHU
AU7509
ISBN: 978-1-4200-8750-5
90000
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Theory and
Approaches of
Unascertained Group
Decision-Making
Systems Evaluation, Prediction, and Decision-Making Series
Series Editor
Yi Lin, PhD
Professor of Systems Science and Economics
School of Economics and Management
Nanjing University of Aeronautics and Astronautics
Editorial Board
Dr. Antonio Caselles, University of Valencia, Spain
Dr. Lei Guo, Chinese Academy of Sciences, China
Dr. Tadeusz Kaczorek, Bialystok Technical University, Poland
Dr. Salvatore Santoli, International Nanobiological Testbed Ltd., Italy
Dr. Vladimir Tsurkov, Russian Academy of Sciences, Russia
Dr. Robert Vallee, Organisation of Cybernetics and Systems, France
Dr. Dongyun Yi, National University of Defense Technology, China
Dr. Elias Zafiris, University of Athens, Greece

RECENTLY PUBLISHED
Theory and Approaches of Unascertained Group Decision-Making
Jianjun Zhu, Nanjing University of Aeronautics & Astronautics
ISBN: 978-1-4200-8750-5
Systems Evaluation: Methods, Models, and Applications
Sifeng Liu, Naiming Xie, Chaoqing Yuan, and Zhigeng Fang
Nanjing University of Aeronautics & Astronautics
ISBN: 978-1-4200-8846-5
Measurement Data Modeling and Parameter Estimation
Zhengming Wang, Dongyun Yi, Xiaojun Duan, Jing Yao, Defeng Gu
National University of Defense Technology, Changsha, PR of China
ISBN: 978-1-4398-5378-8
Optimization of Regional Industrial Structures and Applications
Yaoguo Dang, Sifeng Liu, and Yuhong Wang, Nanjing University of Aeronautics and Astronautics
ISBN: 978-1-4200-8747-5
Hybrid Rough Sets and Applications in Uncertain Decision-Making
Lirong Jian, Sifeng Liu, and Yi Lin, Nanjing University of Aeronautics and Astronautics
ISBN: 978-1-4200-8748-2
Irregularities and Prediction of Major Disasters
Yi Lin, Nanjing University of Aeronautics and Astronautics
ISBN: 978-1-4200-8745-1
Theory and Approaches of Unascertained Group Decision-Making
Jianjun Zhu, Nanjing University of Aeronautics and Astronautics
ISBN: 978-1-4200-8750-5
Theory of Science and Technology Transfer and Applications
Sifeng Liu, Zhigeng Fang, Hongxing Shi, and Benhai Guo,
Nanjing University of Aeronautics and Astronautics
ISBN: 978-1-4200-8741-3
Theory and
Approaches of
Unascertained Group
Decision-Making
Jianjun Zhu
CRC Press
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Contents
Preface vii
about the author ix
acknowledgments xi
abstract xiii
chaPter 1 IntroductIon 1
chaPter 2 decIsIon-makIng method of Interval
number recIProcal and comPlementary
comParIson matrIx 13
chaPter 3 decIsIon-makIng method of
unascertaIned number comParIson matrIx 49
chaPter 4 decIsIon-makIng method of three-PoInt
Interval number comParIson matrIx 65
chaPter 5 decIsIon-makIng method of the lInguIstIc
comParIson matrIx 91
chaPter 6 aggregatIon method on multIPle style
Preference for grouP decIsIon makIng 125
chaPter 7 aggregatIon method of multIPle stages
for grouP decIsIon makIng 177
v
vi Contents
chaPter 8 an extensIon of toPsIs wIth multIPle-
stages fuzzy lInguIstIc evaluatIon for
grouP decIsIon makIng 201
conclusIon and summary 227
references 231
Index 239
Preface
The famous economist H. A. Simon, one of the founders of scientific
management, said that management is decision making. Decision
making is the evaluation and selection process by the decision
maker (DM) that aims to achieve some purpose or to accomplish
a task. With the development of society and the great increase of
knowledge and information, more decision-making problems involve
a number of decision makers. The subjective preference of DMs
reflects a particular analysis, thinking process, and cognitive activity
of the decision-making problem. Because of the uncertainty of the
decision-making environment, DMs tend to express their preference
with interval numbers, fuzzy numbers, and linguistic variables. As a
result, several uncertain preference styles, such as judgment matrix,
utility value, and preference ordering value of interval numbers, fuzzy
numbers and linguistic term sets are given by DMs. Owing to many
of assessment factors involved in complex decision-making problems,
the difference of preferences, and the impact of the internal and
external environment, it is often difficult to aggregate information
in the group decision-making process. As a result, this book studies
mainly group aggregation methods based on uncertainty preference
information.
The book is constructed as follows. The studies on group decision
making are reviewed in Chapter 1. The consistency measuring and
vii
viii PrefaCe
ranking methods of interval number reciprocal judgment matrix and
interval number complementary judgment matrix are discussed in
Chapter 2. An unascertained number preference and a three-point
interval number preference are presented in Chapters 3 and 4, and their
consistencies are defined and the ranking methods of the alternative
are developed. The linguistic preference is studied in Chapter 5, and
two consistency definitions have been put forward. The aggregating
methods of several uncertain preferences are discussed in Chapter 6.
The multistage aggregating model of uncertain preference is studied in
Chapter 7. An aggregating model of multistage linguistic information
based on TOPSIS is proposed in Chapter 8.
The research referred to in this book was supported by the National
Natural Science Foundation of China; the Social Science Foundation
of China, Jiangsu Province; the Soft Science Foundation of China,
Jiangsu Province; the Postdoctoral Programs Foundation of China,
Jiangsu Province; the Doctoral Programs Foundation of Chinese
National Educational Ministry; the Social Science Foundation of
Chinese National Educational Ministry; the Research Foundation for
the Excellent and Creative Teamwork in Science and Technology in
Higher Institutions and Distinguished Professors of Jiangsu Province;
and the Foundation for the Master’s and Doctoral Programs in the
Eleventh Five-Year Plan in Nanjing University of Aeronautics and
Astronautics. In the writing of this book, the author consulted widely,
referred to research by many scholars, and was helped greatly by
Professor Jeffrey Forrest and Professor Sifeng Liu. I wish to thank
them all.
Any errors or omissions that may be pointed out by readers and
experts in this field will be appreciated.
About the Author
Jianjun Zhu received a B.A. and an M.A. in coal mining engineer-
ing from the Liaoning Technical University, Fuxin, Liaoning, China,
and a Ph.D. in system engineering from the Northeastern University,
Shenyang, Liaoning, China. He is currently a visiting professor at
Waterloo University, Canada.
He is a chair professor with the Department of Management
Science and Engineering at the University of Nanjing University of
Aeronautics and Astronautics, Nanjing, Jiangsu, China. Previously,
he was a Postdoctoral Fellow with the Department of Management
Science and Engineering, University of Nanjing University of
Aeronautics and Astronautics. He is a director of the Chinese Society
for Optimization, Overall Planning and Economic Mathematics
(CSOOPEM), and the Grey Systems Society of China. His major
research interests are the group preference aggregation, gray sys-
tems theory, and uncertain decision-making analysis. The main
application areas of these technologies are vendor rank and selec-
tion, government policy evaluation, and complex system design and
optimization. He is the author of three edited books and close to 40
papers.
ix