International Conference on Intelligence Science
(ICIS2016)
Set pair analysis theory and
intelligent science
Keqin ZHAO1,2
[email protected]
1, Zhuji Institute of Connection Mathematics, Zhuji 311811,China
2,Center for Non-traditional Security and Peaceful Development Studies, Zhejiang University,
Hangzhou 310058
Abstract
• What is the “Set Pair”?
• What is the “Set Pair Analysis”(SPA)?
• What is the “Connection Number”?
• Examples of application
• The role of SPA in intelligence science
Biography
Zhao Keqin
• Researcher
• Born in 1950, Zhuji Zhejiang Province
• The inventor of the theory of set pair analysis(contact mathematics ) ,which is put
forward in 1989. Set pair analysis,which is also known as the contact mathematics, was
proposed the Connection Science in 1989.
• Till now, more than 100 papers was published in the field of “set pair analysis and its
application”,such as wonderful connection number ,interval decision set pair analysis
and other books.
• A former China artificial intelligence society 5, 6, 7 a total of three director, deputy
director of the Specialized Committee based on Artificial Intelligence .
• Now served as director of the Zhuji Institute of mathematics, Zhejiang province, China,
Director of the Institute for Set pair analysis and research Institute of non traditional
security and peace development research center of Zhejiang University ; Honorary
director of the Specialized Committee for Set pair analysis and contact mathematics in
Chinese society of artificial intelligence .
ZHAO Keqin
Set Pair Analysis(SPA) is a kind of mathematical theory，which is used
for processing system uncertainty. The theory was first put forward in
1989 by Zhao Ke-qin ,who is the Chinese scholar in the field of
mathematics.
This is the first book of the Set pair Anlysis
Set Pair Analysis and its application
---Ke- Qin ZHAO
Hangzhou:
Zhejiang Science
and Technology Press,
2000.China
(SPA was put forward
in 1989 at system science m
meeting in Baotou China)
This is the second book:
Connection Mathematics
application in sports
----Dingzhu SHEN
Hong Kong:
Chinese education
culture press,2007
This is the third book:
Hydrology and water resources
Set Pair Anlysis
---Wen-sheng WANG,etc
Beiging:Science press,2010
This is the fourth book:
Rough Set pair Analysis
theory and
decision making
model
---Bao-xiang LIU
Beiging:Science press,2010
This is the fifth book:
Interval Numbers decision Set Pair
Analysis
-Xiu-mel LIU,
ke-qin ZHAO
Beiging:
Science press
,2014
This is the sixth book:
Set Pair Analysis based coupling
methods and application
-Mingwu WANG,etc
Beiging:
Science press
,2014
This is the seventh book:
Wonderful Connection Number
--Ke-qin ZHAO. Sen-feng ZHAO
Beiging:
Intellectual Property press
,2014
This is the eighth book
Information procsssing Set Pair
Analysis
-yun-liang JIANG;Ke-qin ZHAK,etc
Beiging:
Tsinghua university press
,2015
This is 9 books of the Set Pair Analysis
Non-traditional security and Set Pair Analysis
---Ke-qin ZHAO; Hong MI
Beiging:
Intellectual Property press,2010
This is 10 books of the Set Pair Analysis
Set pair analysis
•
methods
for water
•
resource
system evaluation and
•
prediction
Science press,
• Beiging,2016
There’s more than 4000 references use the Set Pair Analysis on the
Cnki in China
• This is the network:
The above literature shows that Set Pair
Analysis has been widely used
• such as aviation, weather forecast, geological mining, hydrology and
water resources, energy, transportation, environment, ecology,
society, economy, machinery manufacturing, transportation, logistics,
post and telecommunications, communications, medical, health,
sports, education, politics, security, culture, computer and artificial
intelligence ,etc.
what is SP?
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•
Example
Chinese and English is the SP,
Machines and computer is the SP,
Computer and information is the SP,
The Earth and the moon is the SP,
The Earth and the sun is the SP,
The Sun and the moon is the SP, too,
You and me is the SP,
Hand and feet is the SP,
Left hand and right hand is the SP,
2 eye is the SP,
etc
what is Set Pair Analysis(SPA)?
• Is the stduy of two set uncertainty relation ,and the relationship with
the certainty and uncertainty of contact and transformation.
• for example, research two people see the same things why there are
different understanding
for example
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•
A and B saw a about 60-year-old man at same time,
A think this man younger,less than 60 years old,
B thank this man old,has more than 60 years old;
therefore
step1 :A's think and B's think is the SP(A,B),
step2:write the Connection Number u (SP) of
SP(A,B)characteristics :
u (SP)=60+wi
step3,set the value of W and discuss i values
i  [1,1]
• in the SPA,the provisions of the i the values in the interval[-1,1]
The key problems in the Set Pair
Analysis
is that studied the
value of the i
Have different ways of i
can be determined?
• But the are mainly the following two ways:
• One is value calculation,
• and the other one is added new information
•
•
•
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•
•
for example:
1,i=w/60, suppose w=10, is i=10/60=0.6
(calculation method)
2,Ask about his age
if the answer 60,is i=0; if the answer 55,
there are 60+10i=55, is i=-0.5
what is the Connection Number ?
Define:
• By the system of the uncertinty of measurement and certinty of
measurement of a structrual function.
Examples of Connection Number
• a+bi
• a+bi+cj
• a+bi+cj+dk
• a+bi+cj+dk+el
• a+bi+cj+dk+el+fm
• a+bi+cj+dk+el+fm+gn
• ... ... ...
The characteristics of Connection Number
• both simplicity and the complexity,
• both certainty and the uncertainty,
• both static and the dynamic,
• both system and mathematics,
• both analysis and calculation,
• ...
• etc
Connection Number is a
mathematical tool
• Can be used to relate different subjects of research.
As intelligent science is an ability of solving the
uncertainty information and uncertainty information
essentially
• So ,Set pair Analysis and Connection Number has a broad application
prospect in artificial intelligence
Main reference
• Zhao Keqin . Set Pair Analysis(SPA)——A new uncertainty theoretical
method and application [J]. Systems Engineering, 1996 (1): 18-23.
• Zhao Keqin. Set pair analysis and its primary applications [M]. Hangzhou:
Zhejiang Science and Technology Press, 2000.
• 1994(4): 46-48.
• Zhao Keqin. A new method system of social sciences research [J]. Studies in
Social Sciences, 1994(4): 46-48.
• Zhao Keqin. The application of uncertainty system theory of set pair
analysis(SPU) in the artificial intelligence [J]. CAAI Transactions on
Intelligent Systems, 2006,1(2): 16-25
• Zhao Keqin.The theoretical basis and basic algorithm of binary connection
A+Bi and its application in AI[J], CAAI Transactions on Intelligent Systems,
2008
Thank you !