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Springer Complexity Springer Complexity is an interdisciplinary program publishing the bestresearch andacademic-level teaching onbothfundamental andapplied aspects ofcomplexsystems-cutting acrossall traditional disciplinesofthenaturalandlifesciences,engineering,economics,medicine,neuroscience,socialand computerscience. ComplexSystemsaresystemsthatcomprisemanyinteractingpartswiththeabilitytogenerateanew qualityofmacroscopiccollective behaviorthemanifestations ofwhicharethespontaneousformation of distinctive temporal, spatial or functional structures. Models of such systems can be successfully mapped onto quite diverse “real-life" situations like the climate, the coherent emission oflight from lasers,chemicalreaction-diffusionsystems,biologicalcellularnetworks,thedynamicsofstockmarkets andoftheinternet,earthquakestatisticsandprediction,freewaytraffic,thehumanbrain,ortheformation ofopinionsinsocialsystems,tonamejustsomeofthepopularapplications. Althoughtheirscopeandmethodologiesoverlapsomewhat,onecandistinguishthefollowingmain conceptsandtools:self-organization, nonlineardynamics,synergetics,turbulence,dynamicalsystems, catastrophes,instabilities,stochasticprocesses,chaos,graphsandnetworks,cellularautomata,adaptive systems,geneticalgorithmsandcomputationalintelligence. ThetwomajorbookpublicationplatformsoftheSpringerComplexityprogramarethemonograph series“Understanding ComplexSystems"focusingonthevariousapplications ofcomplexity,andthe “Springer Series inSynergetics", which isdevoted tothequantitative theoretical and methodological foundations.Inadditiontothebooksinthesetwocoreseries,theprogramalsoincorporatesindividual titlesrangingfromtextbookstomajorreferenceworks. EditorialandProgrammeAdvisoryBoard DanBraha NewEnglandComplexSystems,InstituteandUniversityofMassachusetts,Dartmouth PéterÉrdi CenterforComplexSystemsStudies,KalamazooCollege,USAandHungarianAcademyof Sciences,Budapest,Hungary KarlFriston InstituteofCognitiveNeuroscience,UniversityCollegeLondon,London,UK HermannHaken CenterofSynergetics,UniversityofStuttgart,Stuttgart,Germany JanuszKacprzyk SystemResearch,PolishAcademyofSciences,Warsaw,Poland ScottKelso CenterforComplexSystemsandBrainSciences,FloridaAtlanticUniversity,BocaRaton,USA JürgenKurths PotsdamInstituteforClimateImpactResearch(PIK),Potsdam,Germany LindaReichl CenterforComplexQuantumSystems,UniversityofTexas,Austin,USA PeterSchuster TheoreticalChemistryandStructuralBiology,UniversityofVienna,Vienna, Austria FrankSchweitzer SystemDesign,ETHZürich,Zürich,Switzerland DidierSornette EntrepreneurialRisk,ETHZürich,Zürich,Switzerland Understanding Complex Systems FoundingEditor:J.A.ScottKelso Futurescientificandtechnological developments inmanyfieldswillnecessarily dependuponcoming togripswithcomplexsystems.Suchsystemsarecomplexinboththeircomposition-typically many differentkindsofcomponentsinteractingsimultaneouslyandnonlinearlywitheachotherandtheirenvi- ronmentsonmultiplelevels-andintherichdiversityofbehaviorofwhichtheyarecapable. TheSpringerSeriesinUnderstandingComplexSystemsseries(UCS)promotesnewstrategiesand paradigmsforunderstandingandrealizingapplicationsofcomplexsystemsresearchinawidevarietyof fieldsandendeavors.UCSisexplicitlytransdisciplinary.Ithasthreemaingoals:First,toelaboratethe concepts,methodsandtoolsofcomplexsystemsatalllevelsofdescriptionandinallscientificfields, especially newlyemergingareaswithinthelife,social,behavioral, economic,neuroandcognitive sci- ences(andderivativesthereof);second,toencouragenovelapplicationsoftheseideasinvariousfields ofengineeringandcomputationsuchasrobotics,nano-technology andinformatics;third,toprovidea singleforumwithinwhichcommonalitiesanddifferencesintheworkingsofcomplexsystemsmaybe discerned,henceleadingtodeeperinsightandunderstanding. UCSwillpublishmonographs,lecturenotesandselectededitedcontributionsaimedatcommunicat- ingnewfindingstoalargemultidisciplinaryaudience. Sifeng Liu and Jeffrey Yi-Lin Forrest (Eds.) Advances in Grey Systems Research ABC Editors Prof.SifengLiu NanjingUniversityofAeronauticsandAstronautics InstituteforGreySystemsStudies, 29ImperialStreet Nanjing210016 P.R.China E-mail:sfl[email protected] Prof.JeffreyYi-LinForrest SlipperyRockUniversity DepartmentofMathematics SlipperyRock PA16057 USA E-mail:[email protected] ISBN978-3-642-13937-6 e-ISBN978-3-642-13938-3 DOI10.1007/978-3-642-13938-3 UnderstandingComplexSystems ISSN1860-0832 LibraryofCongressControlNumber:2010929357 (cid:2)c 2010Springer-VerlagBerlinHeidelberg Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthemate- rialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting, reproduction onmicrofilmor inanyother way, andstorage indatabanks. Dupli- cationofthispublicationorpartsthereof ispermittedonlyunder theprovisions oftheGerman CopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalways beobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw. Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoes notimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Typeset&CoverDesign:ScientificPublishingServicesPvt.Ltd.,Chennai,India. Printedonacid-freepaper 987654321 springer.com Synopsis This volume contains some of the highly selective, best quality research works presented at the 2009 IEEE International Conference on Grey Systems and intel- ligent Services (IEEE GSIS 2009), November 10 – 12, 2009, Nanjing, P. R. China. Grey systems theory was initiated by Professor Deng Julong in 1982 with the pub- lication of the first paper in the international journal Systems and Control Letters. In the past 20+ years, this theory has been developed and matured rapidly and applied widely in almost all areas of scientific learning. Currently, many universities from around the globe offer courses and workshops on grey systems and information; and hundreds of graduate students are studying and/or applying grey systems theory in their works and their writing of dissertations. This book is appropriate as a ref- erence for graduate students or high level undergraduate students, majoring in areas of science, technology, agriculture, medicine, astronomy, earth science, economics, and management. It can also be utilized by researchers and technicians in research institutions, business entities, and government agencies. Editorial Board Yaoguo Dang, Zhigeng Fang, Xinping Xiao, Qishan Zhang, Kunli Wen, Dang Luo, Shunxiang Wu, Lirong Jian, Jianjun Zhu, Naiming Xie, Richard Chen, Yingjie Yang, Hans Kuijper, Emil Scarlat, Rih-Chang Chao, Der-Bang Wu, Baiming Yin, Hongzhuan Chen, Kejia Chen, Benhai Guo, Zhongmin Song, Wenping Wang, Xuerui Tan, Xiufeng Zuo, Jianling Wang, Yinao Wang, Yong Wei, Chuanmin Mi. Professor Dr. Sifeng Liu earned a BS degree in mathematics at Henan University, China, in 1981, an MS degree in economics and a PhD in systems engineering at Huazhong University of Science and Technology, Wuhan, China, in 1986 and 1998, respectively. He has attended Slippery Rock University of Pennsylvania and Sydney University in Australia as a visiting professor. Professor Liu is currently director of the Institute for Grey Systems Studies and dean of the college of economics and management at Nanjing University of aeronautics and astronautics, where he is a distinguished professor, academic leader, and a doctor tutor in management science and systems engineering disciplines. Dr. Liu’s main research activities are in grey systems theory and econometrics. He has published over 200 research papers and 16 books. He has been awarded 18 provincial and national prizes for his outstanding achievements in scientific re- search and applications, and was selected by the Personnel Ministry of China as a distinguished professor. He was recognized in 2002 by the World Organization of Systems and Cybernetics. Dr. Liu is a member of teaching direct committee of management science and engineering of the Ministry of Education, China. He is also the expert of soft sci- ence at the Ministry of Science and Technology, China, and Development of Management Science of the National Natural Science Foundation of China. Pro- fessor Liu currently serves as a chair of the Technical Committee on Grey Systems of the IEEE Systems, Man, and Cybernetics Society, is president of the Grey Sys- tems Society of China, vice president of the Chinese Society for Optimization, Overall Planning and Economic Mathematics, vice president of the Beijing Chapter of the IEEE SMC, vice president of the Econometrics and Management Science VIII Editoral Board Society of Jiangsu Province, and vice president of the Systems Engineering Society of Jiangsu Province. He is a member of the editorial board of over 10 professional journals, including The Journal of Grey System (UK), Scientific Inquiry (USA), Journal of Grey System (Taiwan), Chinese Journal of Management Science, Sys- tems, Theory and Applications, Systems Science and Comprehensive Studies in Agriculture, and Journal of Nanjing University of Aeronautics and Astronautics, among others. Dr. Liu was selected as National Excellent Teacher in 1995, was awarded Expert Enjoying Government’s Special Allowance by the State Council of China in 2000, National Expert with Prominent Contribution in 1998, and Outstanding Managerial Personnel of China in 2005. Professor Jeffrey Yi-Lin Forrest earned all his edu- cational degrees in pure mathematics. His PhD degree was granted in 1988 by Auburn University, Alabama; and he did one year post-doctoral research in statistics at Carnegie Mellon University, Pittsburgh, during 1990 – 1991. Dr. Lin is currently a specially appointed professor in economics, finance, and systems science of Nanking University of Aeronautics and Astronautics, a specially appointed professor in mathematics and systems science of National University of Defense Technology, China, and a tenured professor of mathematics at Slippery Rock University of Pennsylvania. Dr. Lin is a founder and the present president of the International Institute for Gen- eral Systems Studies (IIGSS), a non-profit organization registered in PA in mid-1990s. Since 1984, Lin has had over 300 research papers, over 20 monographs and edited volumes published by a large array of prestigious publishers, such as Springer, World Scientific, Kluwer Academic (currently part of Springer), Academic Press (currently part of Springer), Wiley, Taylor and Francis, Meteorological Press, etc. He serves or served on the editorial boards of 11 professional journals, including Kybernetes: The Interna- tional Journal of Systems, Cybernetics and Management Science, Journal of Sys- tems Science and Complexity, and International Journal of General Systems. He is currently a co- editor of the book series “Systems Evaluation, Prediction and De- cision-Making,” published by Auerbach, an imprint of Taylor and Francis. Some of Dr. Lin’s research was funded by the United Nations, the State of Pennsylvania, the National Science Foundation of China, and the German National Research Center for Information Architecture and Software Technology. Over the years, Dr. Yi Lin’s scientific achievements have been recognized by various pro- fessional organizations and academic publishers. In 2001, he was inducted into the honorary fellowship of the World Organisation of Systems and Cybernetics. His research interests are wide ranging, covering areas like mathematical and general systems theory and applications, foundations of mathematics, data analysis, pre- dictions, economics and finance, management science, and philosophy of science. Preface This book contains contributions by some of the leading researchers in the area of grey systems theory and applications. All the papers included in this volume are selected from the contributions physically presented at the 2009 IEEE International Conference on Grey Systems and Intelligent Services, November 11 – 12, 2009, Nanjing, Jiangsu, People’s Republic of China. This event was jointly sponsored by IEEE Systems, Man, and Cybernetics Society, Natural Science Foundation of China, and Grey Systems Society of China. Additionally, Nanjing University of Aeronautics and Astronautics also invested heavily in this event with its direct and indirect financial and administrative supports. The conference aimed at bringing together all scholars and experts in the fields of grey systems and intelligent services from around the world to share their cutting edge research results, exchange innovative ideas, promote mutual understanding, and seek potential opportunities for collaboration. The conference program com- mittee received 1054 full paper submissions from 16 countries and geographical regions. Nine hundred sixty four papers were submitted for regular sessions and 90 papers were tunnelled directly for special topic sessions. All the submitted papers, including those aiming at special topic sessions, were rigorously reviewed by at least 3 reviewers. Based on the reviewers’ reports, 251 papers were accepted for oral presentations, while 99 accepted for poster presentations. In other words, only slightly over 33% of the submitted papers were accepted by this conference. The rate of acceptance was lower than one third of the total submissions. All the contributions selected for this volume are divided into 6 parts, entitled (1) Buffer operator and theoretical basis of grey systems theory. This part includes 9 papers. (2) Grey incidence analysis and application. This part contains 8 papers. (3) Grey cluster evaluation models. This part includes 7 papers. (4) Grey forecast model. This part includes 10 papers. (5) Grey decision-making, which includes 7 papers. (6) Grey cybernetics and intelligent services, which contains 10 papers. All of the 51 contributions were judged by a panel of scholars as among the best papers of the above-mentioned conference. At this junction we would like to express our sincere appreciation to Professor Hans Kuijper who initially suggested such a book in grey systems theory, and our gratitude to Dr. Thomas Ditzinger of Springer for providing us his very timely support for this important project. X Preface Finally, but not the least, we would like to thank all the authors, speakers, anonymous reviewers, and participants of the event for taking part in and contrib- uting to the IEEE GSIS '09. December 20, 2009 Sifeng Liu Yi Lin Contents Part I: Buffer Operator and Theoretical Basis of Grey Systems Theory The Design of the Driving-Coupling Algorithm in Unconventional Incidents Based on the Gerts Network ...... 3 Zhigeng Fang, Hengwu Wei, Baohua Yang, Sifeng Liu, Ye Chen On the Priority Models of the Grey Interval Preference Relation .................................................... 13 Zaiwu Gong, Tianxiang Yao, Jie Cao, Lianshui Li The Nation-State a Systemic View .......................... 23 Hans Kuijper Critical Path for a Grey Interval Project Network .......... 37 Zhongmin Song, Xizu Yan A New Dynamic Clustering Algorithm for an Interval Grey Number ..................................................... 47 Shunxiang Wu, Junjie Yang, Wenchang Wei, Lihua Lin, Zhifeng Luo Research on the New Algorithms of Simple Grey Numbers, Complex Grey Numbers and Multiple Grey Numbers ....... 59 Naiming Xie, Sifeng Liu Extended Grey Numbers .................................... 73 Yingjie Yang Industrial Restructuring of Jiangsu Based on the Grey Linear Programming Model Considering Energy-Saving ..... 87 Chaoqing Yuan, Sifeng Liu

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