Nondifferentiable And Two Level Mathematical Programming

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Nondifferentiable and Two-Level Mathematical Programming

Author : Kiyotaka Shimizu
Publisher : Springer Science & Business Media
ISBN 13 : 1461563054
Total Pages : 482 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Nondifferentiable and Two-Level Mathematical Programming by : Kiyotaka Shimizu

Download or read book Nondifferentiable and Two-Level Mathematical Programming written by Kiyotaka Shimizu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis and design of engineering and industrial systems has come to rely heavily on the use of optimization techniques. The theory developed over the last 40 years, coupled with an increasing number of powerful computational procedures, has made it possible to routinely solve problems arising in such diverse fields as aircraft design, material flow, curve fitting, capital expansion, and oil refining just to name a few. Mathematical programming plays a central role in each of these areas and can be considered the primary tool for systems optimization. Limits have been placed on the types of problems that can be solved, though, by the difficulty of handling functions that are not everywhere differentiable. To deal with real applications, it is often necessary to be able to optimize functions that while continuous are not differentiable in the classical sense. As the title of the book indicates, our chief concern is with (i) nondifferentiable mathematical programs, and (ii) two-level optimization problems. In the first half of the book, we study basic theory for general smooth and nonsmooth functions of many variables. After providing some background, we extend traditional (differentiable) nonlinear programming to the nondifferentiable case. The term used for the resultant problem is nondifferentiable mathematical programming. The major focus is on the derivation of optimality conditions for general nondifferentiable nonlinear programs. We introduce the concept of the generalized gradient and derive Kuhn-Tucker-type optimality conditions for the corresponding formulations.

Point-to-set Maps and Mathematical Programming

Author : P. Huard
Publisher :
ISBN 13 : 9780720483000
Total Pages : 0 pages
Book Rating : 4.4/5 (83 download)

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Book Synopsis Point-to-set Maps and Mathematical Programming by : P. Huard

Download or read book Point-to-set Maps and Mathematical Programming written by P. Huard and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differentiable stability in non convex and non differentiable programming; A multivalued approach to the farkas lemma; Extensions of the continuity of point-to-set maps: applications to fixed point algorithms; Composition und union of general algorithms of optimization; Modified lagrangians in convex programming and their generalizations; Extensions of Zangwill's theorem; On the lower semicontinuity of optimal sets in convex parametric optimization; A note on the continuity of the solution set of special dual optimization problems; Asymptotic properties of sequences iteratively generated by point-to-set maps; Generalized equations and their solutions; The fixed point approach to nonlinear programming; Convergence analysis for two-level algorithms of mathematical programming; A comparative study of several general convergence conditions for algorithms modeled by point-to-set maps.

Fuzzy and Multi-Level Decision Making

Author : E. Stanley Lee
Publisher : Springer Science & Business Media
ISBN 13 : 1447106830
Total Pages : 199 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Fuzzy and Multi-Level Decision Making by : E. Stanley Lee

Download or read book Fuzzy and Multi-Level Decision Making written by E. Stanley Lee and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Managerial Decisions in hierarchy organizations, such as the various manufacturing and service companies, are difficult to formalize and even more difficult to optimize. By exploring the typical fuzziness, vagueness, or the "not-well-defined" nature of such organizations, this book presents the first comprehensive treatment of this difficult and practically important problem. The advantages of the proposed fuzzy interactive approach are that it significantly reduces computational requirements. Equally, the representation of the system is made more realistic through the recognition of the inherent fuzziness of such large organizations. Both the multi-ploy and the game-like decision making processes, also known as multi-level programming and the fuzzy interactive approach, are discussed in detail. The emphasis is on numerical algorithms and numerous examples are solved and compared. The concepts of fuzzy set and fuzzy linguistic representation, which form an integral part of any managerial decision, are also discussed.

Cooperative and Noncooperative Multi-Level Programming

Author : Masatoshi Sakawa
Publisher : Springer Science & Business Media
ISBN 13 : 1441906762
Total Pages : 250 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Cooperative and Noncooperative Multi-Level Programming by : Masatoshi Sakawa

Download or read book Cooperative and Noncooperative Multi-Level Programming written by Masatoshi Sakawa and published by Springer Science & Business Media. This book was released on 2009-06-18 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: To derive rational and convincible solutions to practical decision making problems in complex and hierarchical human organizations, the decision making problems are formulated as relevant mathematical programming problems which are solved by developing optimization techniques so as to exploit characteristics or structural features of the formulated problems. In particular, for resolving con?ict in decision making in hierarchical managerial or public organizations, the multi level formula tion of the mathematical programming problems has been often employed together with the solution concept of Stackelberg equilibrium. However,weconceivethatapairoftheconventionalformulationandthesolution concept is not always suf?cient to cope with a large variety of decision making situations in actual hierarchical organizations. The following issues should be taken into consideration in expression and formulation of decision making problems. Informulationofmathematicalprogrammingproblems,itistacitlysupposedthat decisions are made by a single person while game theory deals with economic be havior of multiple decision makers with fully rational judgment. Because two level mathematical programming problems are interpreted as static Stackelberg games, multi level mathematical programming is relevant to noncooperative game theory; in conventional multi level mathematical programming models employing the so lution concept of Stackelberg equilibrium, it is assumed that there is no communi cation among decision makers, or they do not make any binding agreement even if there exists such communication. However, for decision making problems in such as decentralized large ?rms with divisional independence, it is quite natural to sup pose that there exists communication and some cooperative relationship among the decision makers.

Bilevel Optimization

Author : Stephan Dempe
Publisher : Springer Nature
ISBN 13 : 3030521192
Total Pages : 679 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Bilevel Optimization by : Stephan Dempe

Download or read book Bilevel Optimization written by Stephan Dempe and published by Springer Nature. This book was released on 2020-11-23 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2019 marked the 85th anniversary of Heinrich Freiherr von Stackelberg’s habilitation thesis “Marktform und Gleichgewicht,” which formed the roots of bilevel optimization. Research on the topic has grown tremendously since its introduction in the field of mathematical optimization. Besides the substantial advances that have been made from the perspective of game theory, many sub-fields of bilevel optimization have emerged concerning optimal control, multiobjective optimization, energy and electricity markets, management science, security and many more. Each chapter of this book covers a specific aspect of bilevel optimization that has grown significantly or holds great potential to grow, and was written by top experts in the corresponding area. In other words, unlike other works on the subject, this book consists of surveys of different topics on bilevel optimization. Hence, it can serve as a point of departure for students and researchers beginning their research journey or pursuing related projects. It also provides a unique opportunity for experienced researchers in the field to learn about the progress made so far and directions that warrant further investigation. All chapters have been peer-reviewed by experts on mathematical optimization.

Basic Mathematical Programming Theory

Author : Giorgio Giorgi
Publisher : Springer Nature
ISBN 13 : 3031303245
Total Pages : 443 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Basic Mathematical Programming Theory by : Giorgio Giorgi

Download or read book Basic Mathematical Programming Theory written by Giorgio Giorgi and published by Springer Nature. This book was released on 2023-07-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of (static) optimization, also called mathematical programming, is one of the most important and widespread branches of modern mathematics, serving as a cornerstone of such scientific subjects as economic analysis, operations research, management sciences, engineering, chemistry, physics, statistics, computer science, biology, and social sciences. This book presents a unified, progressive treatment of the basic mathematical tools of mathematical programming theory. The authors expose said tools, along with results concerning the most common mathematical programming problems formulated in a finite-dimensional setting, forming the basis for further study of the basic questions on the various algorithmic methods and the most important particular applications of mathematical programming problems. This book assumes no previous experience in optimization theory, and the treatment of the various topics is largely self-contained. Prerequisites are the basic tools of differential calculus for functions of several variables, the basic notions of topology and of linear algebra, and the basic mathematical notions and theoretical background used in analyzing optimization problems. The book is aimed at both undergraduate and postgraduate students interested in mathematical programming problems but also those professionals who use optimization methods and wish to learn the more theoretical aspects of these questions.

Fuzzy and Multi-Level Decision Making: Soft Computing Approaches

Author : Chi-Bin Cheng
Publisher : Springer
ISBN 13 : 3319925253
Total Pages : 219 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Fuzzy and Multi-Level Decision Making: Soft Computing Approaches by : Chi-Bin Cheng

Download or read book Fuzzy and Multi-Level Decision Making: Soft Computing Approaches written by Chi-Bin Cheng and published by Springer. This book was released on 2018-12-14 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive overview of cutting-edge approaches for decision-making in hierarchical organizations. It presents soft-computing-based techniques, including fuzzy sets, neural networks, genetic algorithms and particle swarm optimization, and shows how these approaches can be effectively used to deal with problems typical of this kind of organization. After introducing the main classical approaches applied to multiple-level programming, the book describes a set of soft-computing techniques, demonstrating their advantages in providing more efficient solutions to hierarchical decision-making problems compared to the classical methods. Based on the book Fuzzy and Multi-Level Decision Making (Springer, 2001) by Lee E.S and Shih, H., this second edition has been expanded to include the most recent findings and methods and a broader spectrum of soft computing approaches. All the algorithms are presented in detail, together with a wealth of practical examples and solutions to real-world problems, providing students, researchers and professionals with a timely, practice-oriented reference guide to the area of interactive fuzzy decision making, multi-level programming and hierarchical optimization.

Encyclopedia of Optimization

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Knowledge-Based and Intelligent Information and Engineering Systems, Part III

Author : Andreas König
Publisher : Springer
ISBN 13 : 3642238548
Total Pages : 653 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Knowledge-Based and Intelligent Information and Engineering Systems, Part III by : Andreas König

Download or read book Knowledge-Based and Intelligent Information and Engineering Systems, Part III written by Andreas König and published by Springer. This book was released on 2011-09-15 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set LNAI 6881-LNAI 6884 constitutes the refereed proceedings of the 15th International Conference on Knowledge-Based Intelligent Information and Engineering Systems, KES 2011, held in Kaiserslautern, Germany, in September 2011. Part 3: The total of 244 high-quality papers presented were carefully reviewed and selected from numerous submissions. The 67 papers of Part 3 are organized in topical sections on skill acquisition and ubiquitous human computer interaction, intelligent network and service, management technologies from the perspective of kansei engineering and emotion, data mining and service science for innovation, knowledge-based systems for e-business, knowledge engineering applications in process systems and plant operations, advanced design techniques for adaptive hardware and systems, human-oriented learning technology and learning support environment, design of social intelligence and creativity environment.

Non-Smooth and Complementarity-Based Distributed Parameter Systems

Author : Michael Hintermüller
Publisher : Springer Nature
ISBN 13 : 3030793931
Total Pages : 518 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Non-Smooth and Complementarity-Based Distributed Parameter Systems by : Michael Hintermüller

Download or read book Non-Smooth and Complementarity-Based Distributed Parameter Systems written by Michael Hintermüller and published by Springer Nature. This book was released on 2022-02-18 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the most challenging problems in the applied sciences involve non-differentiable structures as well as partial differential operators, thus leading to non-smooth distributed parameter systems. This edited volume aims to establish a theoretical and numerical foundation and develop new algorithmic paradigms for the treatment of non-smooth phenomena and associated parameter influences. Other goals include the realization and further advancement of these concepts in the context of robust and hierarchical optimization, partial differential games, and nonlinear partial differential complementarity problems, as well as their validation in the context of complex applications. Areas for which applications are considered include optimal control of multiphase fluids and of superconductors, image processing, thermoforming, and the formation of rivers and networks. Chapters are written by leading researchers and present results obtained in the first funding phase of the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems: Simulation and Hierarchical Optimization that ran from 2016 to 2019.

Building and Solving Mathematical Programming Models in Engineering and Science

Author : Enrique Castillo
Publisher : John Wiley & Sons
ISBN 13 : 0471461652
Total Pages : 568 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Building and Solving Mathematical Programming Models in Engineering and Science by : Enrique Castillo

Download or read book Building and Solving Mathematical Programming Models in Engineering and Science written by Enrique Castillo and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental concepts of mathematical modeling Modeling is one of the most effective, commonly used tools in engineering and the applied sciences. In this book, the authors deal with mathematical programming models both linear and nonlinear and across a wide range of practical applications. Whereas other books concentrate on standard methods of analysis, the authors focus on the power of modeling methods for solving practical problems-clearly showing the connection between physical and mathematical realities-while also describing and exploring the main concepts and tools at work. This highly computational coverage includes: * Discussion and implementation of the GAMS programming system * Unique coverage of compatibility * Illustrative examples that showcase the connection between model and reality * Practical problems covering a wide range of scientific disciplines, as well as hundreds of examples and end-of-chapter exercises * Real-world applications to probability and statistics, electrical engineering, transportation systems, and more Building and Solving Mathematical Programming Models in Engineering and Science is practically suited for use as a professional reference for mathematicians, engineers, and applied or industrial scientists, while also tutorial and illustrative enough for advanced students in mathematics or engineering.

Intelligent Decision Technologies

Author : Junzo Watada
Publisher : Springer Science & Business Media
ISBN 13 : 3642299776
Total Pages : 533 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Intelligent Decision Technologies by : Junzo Watada

Download or read book Intelligent Decision Technologies written by Junzo Watada and published by Springer Science & Business Media. This book was released on 2012-05-20 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Intelligent Decision Technologies (IDT) International Conference encourages an interchange of research on intelligent systems and intelligent technologies that enhance or improve decision making. The focus of IDT is interdisciplinary and includes research on all aspects of intelligent decision technologies, from fundamental development to real applications. IDT has the potential to expand their support of decision making in such areas as finance, accounting, marketing, healthcare, medical and diagnostic systems, military decisions, production and operation, networks, traffic management, crisis response, human-machine interfaces, financial and stock market monitoring and prediction, and robotics. Intelligent decision systems implement advances in intelligent agents, fuzzy logic, multi-agent systems, artificial neural networks, and genetic algorithms, among others. Emerging areas of active research include virtual decision environments, social networking, 3D human-machine interfaces, cognitive interfaces, collaborative systems, intelligent web mining, e-commerce, e-learning, e-business, bioinformatics, evolvable systems, virtual humans, and designer drugs. This volume contains papers from the Fourth KES International Symposium on Intelligent Decision Technologies (KES IDT’12), hosted by researchers in Nagoya University and other institutions in Japan. This book contains chapters based on papers selected from a large number of submissions for consideration for the conference from the international community. The volume represents the current leading thought in intelligent decision technologies.

Practical Bilevel Optimization

Author : Jonathan F. Bard
Publisher : Springer Science & Business Media
ISBN 13 : 1475728360
Total Pages : 484 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Practical Bilevel Optimization by : Jonathan F. Bard

Download or read book Practical Bilevel Optimization written by Jonathan F. Bard and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of optimization techniques has become integral to the design and analysis of most industrial and socio-economic systems. Great strides have been made recently in the solution of large-scale problems arising in such areas as production planning, airline scheduling, government regulation, and engineering design, to name a few. Analysts have found, however, that standard mathematical programming models are often inadequate in these situations because more than a single objective function and a single decision maker are involved. Multiple objective programming deals with the extension of optimization techniques to account for several objective functions, while game theory deals with the inter-personal dynamics surrounding conflict. Bilevel programming, the focus of this book, is in a narrow sense the combination of the two. It addresses the problern in which two decision makers, each with their individual objectives, act and react in a noncooperative, sequential manner. The actions of one affect the choices and payoffs available to the other but neither player can completely dominate the other in the traditional sense.

Multiple Criteria Optimization

Author : Xavier Gandibleux
Publisher : Springer Science & Business Media
ISBN 13 : 0306481073
Total Pages : 515 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Multiple Criteria Optimization by : Xavier Gandibleux

Download or read book Multiple Criteria Optimization written by Xavier Gandibleux and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The generalized area of multiple criteria decision making (MCDM) can be defined as the body of methods and procedures by which the concern for multiple conflicting criteria can be formally incorporated into the analytical process. MCDM consists mostly of two branches, multiple criteria optimization and multi-criteria decision analysis (MCDA). While MCDA is typically concerned with multiple criteria problems that have a small number of alternatives often in an environment of uncertainty (location of an airport, type of drug rehabilitation program), multiple criteria optimization is typically directed at problems formulated within a mathematical programming framework, but with a stack of objectives instead of just one (river basin management, engineering component design, product distribution). It is about the most modern treatment of multiple criteria optimization that this book is concerned. I look at this book as a nicely organized and well-rounded presentation of what I view as ”new wave” topics in multiple criteria optimization. Looking back to the origins of MCDM, most people agree that it was not until about the early 1970s that multiple criteria optimization c- gealed as a field. At this time, and for about the following fifteen years, the focus was on theories of multiple objective linear programming that subsume conventional (single criterion) linear programming, algorithms for characterizing the efficient set, theoretical vector-maximum dev- opments, and interactive procedures.

Advances in Operational Research in the Balkans

Author : Nenad Mladenović
Publisher : Springer
ISBN 13 : 3030219909
Total Pages : 292 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Advances in Operational Research in the Balkans by : Nenad Mladenović

Download or read book Advances in Operational Research in the Balkans written by Nenad Mladenović and published by Springer. This book was released on 2019-07-24 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume presents recent theoretical and practical advances in operational research (OR). The papers focus on a number of key areas including combinatorial optimization, integer programming, heuristics, and mathematical programming. In addition, this volume highlights OR applications in different areas such as financial decision making, marketing, e-business, project management, scheduling, traffic and transportation. The chapters are based on papers presented at the 13th Balkan Conference on Operations Research (BALCOR). BALCOR is an established biennial conference. The selected papers promote international collaboration among researchers and practitioners, with a particular focus on the Balkan countries.

New Tools of Economic Dynamics

Author : Jacek Leskow
Publisher : Springer Science & Business Media
ISBN 13 : 3540284443
Total Pages : 397 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis New Tools of Economic Dynamics by : Jacek Leskow

Download or read book New Tools of Economic Dynamics written by Jacek Leskow and published by Springer Science & Business Media. This book was released on 2006-05-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Tools of Economic Dynamics gives an introduction and overview of recently developed methods and tools, most of them developed outside economics, to deal with the qualitative analysis of economic dynamics. It reports the results of a three-year research project by a European and Latin American network on the intersection of economics with mathematical, statistical, and computational methods and techniques. Focusing upon the evolution and manifold structure of complex dynamic phenomena, the book reviews and shows applications of a variety of tools, such as symbolic and coded dynamics, interacting agents models, microsimulation in econometrics, large-scale system analysis, and dynamical systems theory. It shows the potential of a comprehensive analysis of growth, fluctuations, and structural change along the lines indicated by pioneers like Harrod, Haavelmo, Hicks, Goodwin, Morishima, and it highlights the explanatory power of the qualitative approach they initiated.

Agent and Multi-Agent Systems: Technologies and Applications

Author : Anne Hakansson
Publisher : Springer
ISBN 13 : 3642016650
Total Pages : 865 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Agent and Multi-Agent Systems: Technologies and Applications by : Anne Hakansson

Download or read book Agent and Multi-Agent Systems: Technologies and Applications written by Anne Hakansson and published by Springer. This book was released on 2009-05-30 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Third KES Symposium on Agent and Multi-agent Systems – Technologies and Applications (KES-AMSTA 2009)––held at Uppsala University in Sweden during June 3-5, 2009. The symposium was organized by Uppsala University, KES International and its Focus Group on Agent and Multi-agent Systems. The KES-AMSTA Symposium series is a sub-series of the KES Conference series. Following the successes of the First KES Symposium on Agent and Multi-agent Systems – Technologies and Applications (KES-AMSTA 2007), held in Wroclaw, Poland, from May 31 to 1 June 2007––and the Second KES Symposium on Agent and Multi-agent Systems – Technologies and Applications (KES-AMSTA 2008) held in Incheon, Korea, March 26-28, 2008––KES-AMSTA 2009 featured keynote talks, oral and poster presentations, and a number of workshops and invited sessions, closely aligned to the themes of the conference. The aim of the symposium was to provide an international forum for scientific - search into the technologies and applications of agent and multi-agent systems. Agent and multi-agent systems are an innovative type of modern software system and have long been recognized as a promising technology for constructing autonomous, c- plex and intelligent systems. A key development in the field of agent and multi-agent systems has been the specification of agent communication languages and formali- tion of ontologies. Agent communication languages are intended to provide standard declarative mechanisms for agents to communicate knowledge and make requests of each other, whereas ontologies are intended for conceptualization of the knowledge domain.