Fuzzy Stochastic Multiobjective Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 144198402X
Total Pages : 268 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Fuzzy Stochastic Multiobjective Programming by : Masatoshi Sakawa

Download or read book Fuzzy Stochastic Multiobjective Programming written by Masatoshi Sakawa and published by Springer Science & Business Media. This book was released on 2011-02-03 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although studies on multiobjective mathematical programming under uncertainty have been accumulated and several books on multiobjective mathematical programming under uncertainty have been published (e.g., Stancu-Minasian (1984); Slowinski and Teghem (1990); Sakawa (1993); Lai and Hwang (1994); Sakawa (2000)), there seems to be no book which concerns both randomness of events related to environments and fuzziness of human judgments simultaneously in multiobjective decision making problems. In this book, the authors are concerned with introducing the latest advances in the field of multiobjective optimization under both fuzziness and randomness on the basis of the authors’ continuing research works. Special stress is placed on interactive decision making aspects of fuzzy stochastic multiobjective programming for human-centered systems under uncertainty in most realistic situations when dealing with both fuzziness and randomness. Organization of each chapter is briefly summarized as follows: Chapter 2 is devoted to mathematical preliminaries, which will be used throughout the remainder of the book. Starting with basic notions and methods of multiobjective programming, interactive fuzzy multiobjective programming as well as fuzzy multiobjective programming is outlined. In Chapter 3, by considering the imprecision of decision maker’s (DM’s) judgment for stochastic objective functions and/or constraints in multiobjective problems, fuzzy multiobjective stochastic programming is developed. In Chapter 4, through the consideration of not only the randomness of parameters involved in objective functions and/or constraints but also the experts’ ambiguous understanding of the realized values of the random parameters, multiobjective programming problems with fuzzy random variables are formulated. In Chapter 5, for resolving conflict of decision making problems in hierarchical managerial or public organizations where there exist two DMs who have different priorities in making decisions, two-level programming problems are discussed. Finally, Chapter 6 outlines some future research directions.

Multi-Objective Stochastic Programming in Fuzzy Environments

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Author :
Publisher : IGI Global
ISBN 13 : 1522583025
Total Pages : 434 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Multi-Objective Stochastic Programming in Fuzzy Environments by : Biswas, Animesh

Download or read book Multi-Objective Stochastic Programming in Fuzzy Environments written by Biswas, Animesh and published by IGI Global. This book was released on 2019-03-22 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is frequently observed that most decision-making problems involve several objectives, and the aim of the decision makers is to find the best decision by fulfilling the aspiration levels of all the objectives. Multi-objective decision making is especially suitable for the design and planning steps and allows a decision maker to achieve the optimal or aspired goals by considering the various interactions of the given constraints. Multi-Objective Stochastic Programming in Fuzzy Environments discusses optimization problems with fuzzy random variables following several types of probability distributions and different types of fuzzy numbers with different defuzzification processes in probabilistic situations. The content within this publication examines such topics as waste management, agricultural systems, and fuzzy set theory. It is designed for academicians, researchers, and students.

Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461493994
Total Pages : 347 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Linear and Multiobjective Programming with Fuzzy Stochastic Extensions by : Masatoshi Sakawa

Download or read book Linear and Multiobjective Programming with Fuzzy Stochastic Extensions written by Masatoshi Sakawa and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although several books or monographs on multiobjective optimization under uncertainty have been published, there seems to be no book which starts with an introductory chapter of linear programming and is designed to incorporate both fuzziness and randomness into multiobjective programming in a unified way. In this book, five major topics, linear programming, multiobjective programming, fuzzy programming, stochastic programming, and fuzzy stochastic programming, are presented in a comprehensive manner. Especially, the last four topics together comprise the main characteristics of this book, and special stress is placed on interactive decision making aspects of multiobjective programming for human-centered systems in most realistic situations under fuzziness and/or randomness. Organization of each chapter is briefly summarized as follows: Chapter 2 is a concise and condensed description of the theory of linear programming and its algorithms. Chapter 3 discusses fundamental notions and methods of multiobjective linear programming and concludes with interactive multiobjective linear programming. In Chapter 4, starting with clear explanations of fuzzy linear programming and fuzzy multiobjective linear programming, interactive fuzzy multiobjective linear programming is presented. Chapter 5 gives detailed explanations of fundamental notions and methods of stochastic programming including two-stage programming and chance constrained programming. Chapter 6 develops several interactive fuzzy programming approaches to multiobjective stochastic programming problems. Applications to purchase and transportation planning for food retailing are considered in Chapter 7. The book is self-contained because of the three appendices and answers to problems. Appendix A contains a brief summary of the topics from linear algebra. Pertinent results from nonlinear programming are summarized in Appendix B. Appendix C is a clear explanation of the Excel Solver, one of the easiest ways to solve optimization problems, through the use of simple examples of linear and nonlinear programming.

Fuzzy Sets and Interactive Multiobjective Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 1489916334
Total Pages : 319 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Fuzzy Sets and Interactive Multiobjective Optimization by : Masatoshi Sakawa

Download or read book Fuzzy Sets and Interactive Multiobjective Optimization written by Masatoshi Sakawa and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main characteristics of the real-world decision-making problems facing humans today are multidimensional and have multiple objectives including eco nomic, environmental, social, and technical ones. Hence, it seems natural that the consideration of many objectives in the actual decision-making process re quires multiobjective approaches rather than single-objective. One ofthe major systems-analytic multiobjective approaches to decision-making under constraints is multiobjective optimization as a generalization of traditional single-objective optimization. Although multiobjective optimization problems differ from single objective optimization problems only in the plurality of objective functions, it is significant to realize that multiple objectives are often noncom mensurable and conflict with each other in multiobjective optimization problems. With this ob servation, in multiobjective optimization, the notion of Pareto optimality or effi ciency has been introduced instead of the optimality concept for single-objective optimization. However, decisions with Pareto optimality or efficiency are not uniquely determined; the final decision must be selected from among the set of Pareto optimal or efficient solutions. Therefore, the question is, how does one find the preferred point as a compromise or satisficing solution with rational pro cedure? This is the starting point of multiobjective optimization. To be more specific, the aim is to determine how one derives a compromise or satisficing so lution of a decision maker (DM), which well represents the subjective judgments, from a Pareto optimal or an efficient solution set.

Interactive Multiobjective Decision Making Under Uncertainty

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Author :
Publisher : CRC Press
ISBN 13 : 1498763553
Total Pages : 296 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Interactive Multiobjective Decision Making Under Uncertainty by : Hitoshi Yano

Download or read book Interactive Multiobjective Decision Making Under Uncertainty written by Hitoshi Yano and published by CRC Press. This book was released on 2017-02-03 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, many books on multiobjective programming have been published. However, only a few books have been published, in which multiobjective programming under the randomness and the fuzziness are investigated. On the other hand, several books on multilevel programming have been published, in which multiple decision makers are involved in hierarchical decision situations. In this book, we introduce the latest advances in the field of multiobjective programming and multilevel programming under uncertainty. The reader can immediately use proposed methods to solve multiobjective programming and multilevel programming, which are based on linear programming or convex programming technique. Organization of each capter is summarized as follows. In Chapter 2, multiobjective programming problems with random variables are formulated, and the corresponding interactive algorithms are developed to obtain a satisfactory solution, in which the fuzziness of human's subjective judgment for permission levels are considered. In Chapter 3, multiobjective programming problems with fuzzy random variables are formulated, and the corresponding interactive algorithms are developed to obtain a satisfactory solution, in which not only the uncertainty of fuzzy random variables but also the fuzziness of human's subjective judgment for permission levels are considered. In Chapter 4, multiobjective multilevel programming is discussed, and the interactive algorithms are developed to obtain a satisfactory solution, in which the hierarchical decision structure of multiple decision makers is reflected. In Chapter 5, two kinds of farm planning problems are solved by applying the proposed method, in which cost coefficients of crops are expressed by random variables.

Fuzzy Multi-Criteria Decision Making

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Publisher : Springer Science & Business Media
ISBN 13 : 0387768130
Total Pages : 591 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Fuzzy Multi-Criteria Decision Making by : Cengiz Kahraman

Download or read book Fuzzy Multi-Criteria Decision Making written by Cengiz Kahraman and published by Springer Science & Business Media. This book was released on 2008-08-09 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines all the fuzzy multicriteria methods recently developed, such as fuzzy AHP, fuzzy TOPSIS, interactive fuzzy multiobjective stochastic linear programming, fuzzy multiobjective dynamic programming, grey fuzzy multiobjective optimization, fuzzy multiobjective geometric programming, and more. Each of the 22 chapters includes practical applications along with new developments/results. This book may be used as a textbook in graduate operations research, industrial engineering, and economics courses. It will also be an excellent resource, providing new suggestions and directions for further research, for computer programmers, mathematicians, and scientists in a variety of disciplines where multicriteria decision making is needed.

Transactions on Engineering Technologies

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Publisher : Springer
ISBN 13 : 9401795886
Total Pages : 465 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Transactions on Engineering Technologies by : Gi-Chul Yang

Download or read book Transactions on Engineering Technologies written by Gi-Chul Yang and published by Springer. This book was released on 2014-12-30 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains revised and extended research articles written by prominent researchers who participated in the international conference on Advances in Engineering Technologies, which was held in Hong Kong, 12-14 March, 2014. Topics covered include engineering physics, engineering mathematics, scientific computing, control theory, artificial intelligence, electrical engineering, communications systems, and industrial applications. The book offers the state of art of tremendous advances in engineering technologies and physical science and applications, and also serves as an excellent reference work for researchers and graduate students working with/on engineering technologies and physical science and applications.

Multi-Objective Programming and Goal Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 3540365109
Total Pages : 435 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Multi-Objective Programming and Goal Programming by : Tetsuzo Tanino

Download or read book Multi-Objective Programming and Goal Programming written by Tetsuzo Tanino and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the Fifth International Conference on Multi-Objective Programming and Goal Programming: Theory & Appli cations (MOPGP'02) held in Nara, Japan on June 4-7, 2002. Eighty-two people from 16 countries attended the conference and 78 papers (including 9 plenary talks) were presented. MOPGP is an international conference within which researchers and prac titioners can meet and learn from each other about the recent development in multi-objective programming and goal programming. The participants are from different disciplines such as Optimization, Operations Research, Math ematical Programming and Multi-Criteria Decision Aid, whose common in terest is in multi-objective analysis. The first MOPGP Conference was held at Portsmouth, United Kingdom, in 1994. The subsequent conferenes were held at Torremolinos, Spain in 1996, at Quebec City, Canada in 1998, and at Katowice, Poland in 2000. The fifth conference was held at Nara, which was the capital of Japan for more than seventy years in the eighth century. During this Nara period the basis of Japanese society, or culture established itself. Nara is a beautiful place and has a number of historic monuments in the World Heritage List. The members of the International Committee of MOPGP'02 were Dylan Jones, Pekka Korhonen, Carlos Romero, Ralph Steuer and Mehrdad Tamiz.

Unconventional Methods for Geoscience, Shale Gas and Petroleum in the 21st Century

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Author :
Publisher : IOS Press
ISBN 13 : 1643684191
Total Pages : 320 pages
Book Rating : 4.6/5 (436 download)

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Book Synopsis Unconventional Methods for Geoscience, Shale Gas and Petroleum in the 21st Century by : J. Watada

Download or read book Unconventional Methods for Geoscience, Shale Gas and Petroleum in the 21st Century written by J. Watada and published by IOS Press. This book was released on 2023-09-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the turn of the century, geology has advanced dramatically, with materials derived from extra-terrestrial sources meaning that it now encompasses cosmology, and new technologies providing ever more sophisticated possibilities for the conducting of research. This book, Unconventional Methods for Geoscience, Shale Gas and Petroleum in the 21st Century, aims to provide research directions for geology in the 21st century. As Eric Hobsbawm wrote, it is difficult to write the history of one’s own days, and selecting influential methods was no easy task, but an attempt has been made to include the most influential papers that represent the smart geology of the first few decades of the 21st century. The book presents 22 papers; the first serves as an introduction to biology, which is now expanding into the science of the cosmos following the discovery of previously missing information, and the remaining 21 papers are divided into 3 sections entitled Modelling, Simulation and Optimization. The importance of theoretical approaches from physics, mathematics, and statistics underlying meta-heuristic methods, knowledge and approaches is acknowledged, and there is a chapter dedicated to deep learning. The book contributes to the exploration of various possible solutions to challenging problems in both the Earth’s geology and that of the cosmos, and will be of interest to all those working in the field.

Multiple Criteria Decision Analysis

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Publisher : Springer
ISBN 13 : 149393094X
Total Pages : 1356 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Multiple Criteria Decision Analysis by : Salvatore Greco

Download or read book Multiple Criteria Decision Analysis written by Salvatore Greco and published by Springer. This book was released on 2016-02-18 with total page 1356 pages. Available in PDF, EPUB and Kindle. Book excerpt: In two volumes, this new edition presents the state of the art in Multiple Criteria Decision Analysis (MCDA). Reflecting the explosive growth in the field seen during the last several years, the editors not only present surveys of the foundations of MCDA, but look as well at many new areas and new applications. Individual chapter authors are among the most prestigious names in MCDA research, and combined their chapters bring the field completely up to date. Part I of the book considers the history and current state of MCDA, with surveys that cover the early history of MCDA and an overview that discusses the “pre-theoretical” assumptions of MCDA. Part II then presents the foundations of MCDA, with individual chapters that provide a very exhaustive review of preference modeling, along with a chapter devoted to the axiomatic basis of the different models that multiple criteria preferences. Part III looks at outranking methods, with three chapters that consider the ELECTRE methods, PROMETHEE methods, and a look at the rich literature of other outranking methods. Part IV, on Multiattribute Utility and Value Theories (MAUT), presents chapters on the fundamentals of this approach, the very well known UTA methods, the Analytic Hierarchy Process (AHP) and its more recent extension, the Analytic Network Process (ANP), as well as a chapter on MACBETH (Measuring Attractiveness by a Categorical Based Evaluation Technique). Part V looks at Non-Classical MCDA Approaches, with chapters on risk and uncertainty in MCDA, the decision rule approach to MCDA, the fuzzy integral approach, the verbal decision methods, and a tentative assessment of the role of fuzzy sets in decision analysis. Part VI, on Multiobjective Optimization, contains chapters on recent developments of vector and set optimization, the state of the art in continuous multiobjective programming, multiobjective combinatorial optimization, fuzzy multicriteria optimization, a review of the field of goal programming, interactive methods for solving multiobjective optimization problems, and relationships between MCDA and evolutionary multiobjective optimization (EMO). Part VII, on Applications, selects some of the most significant areas, including contributions of MCDA in finance, energy planning problems, telecommunication network planning and design, sustainable development, and portfolio analysis. Finally, Part VIII, on MCDM software, presents well known MCDA software packages.

Recent Advances in Intelligent Information Systems and Applied Mathematics

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Author :
Publisher : Springer Nature
ISBN 13 : 3030341526
Total Pages : 923 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Recent Advances in Intelligent Information Systems and Applied Mathematics by : Oscar Castillo

Download or read book Recent Advances in Intelligent Information Systems and Applied Mathematics written by Oscar Castillo and published by Springer Nature. This book was released on 2020-01-31 with total page 923 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the latest advances in intelligent techniques such as fuzzy logic, neural networks, and optimization algorithms, and their relevance in building intelligent information systems in combination with applied mathematics. The authors also outline the applications of these systems in areas like intelligent control and robotics, pattern recognition, medical diagnosis, time series prediction, and optimization of complex problems. By sharing fresh ideas and identifying new targets/problems it offers young researchers and students new directions for their future research. The book is intended for readers from mathematics and computer science, in particular professors and students working on theory and applications of intelligent systems for real-world applications.

Interactive Multiobjective Decision Making Under Uncertainty

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Author :
Publisher : CRC Press
ISBN 13 : 1351678906
Total Pages : 226 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Interactive Multiobjective Decision Making Under Uncertainty by : Hitoshi Yano

Download or read book Interactive Multiobjective Decision Making Under Uncertainty written by Hitoshi Yano and published by CRC Press. This book was released on 2017-02-03 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, many books on multiobjective programming have been published. However, only a few books have been published, in which multiobjective programming under the randomness and the fuzziness are investigated. On the other hand, several books on multilevel programming have been published, in which multiple decision makers are involved in hierarchical decision situations. In this book, we introduce the latest advances in the field of multiobjective programming and multilevel programming under uncertainty. The reader can immediately use proposed methods to solve multiobjective programming and multilevel programming, which are based on linear programming or convex programming technique. Organization of each capter is summarized as follows. In Chapter 2, multiobjective programming problems with random variables are formulated, and the corresponding interactive algorithms are developed to obtain a satisfactory solution, in which the fuzziness of human's subjective judgment for permission levels are considered. In Chapter 3, multiobjective programming problems with fuzzy random variables are formulated, and the corresponding interactive algorithms are developed to obtain a satisfactory solution, in which not only the uncertainty of fuzzy random variables but also the fuzziness of human's subjective judgment for permission levels are considered. In Chapter 4, multiobjective multilevel programming is discussed, and the interactive algorithms are developed to obtain a satisfactory solution, in which the hierarchical decision structure of multiple decision makers is reflected. In Chapter 5, two kinds of farm planning problems are solved by applying the proposed method, in which cost coefficients of crops are expressed by random variables.

Fuzzy-Like Multiple Objective Multistage Decision Making

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Publisher : Springer
ISBN 13 : 3319033980
Total Pages : 398 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Fuzzy-Like Multiple Objective Multistage Decision Making by : Jiuping Xu

Download or read book Fuzzy-Like Multiple Objective Multistage Decision Making written by Jiuping Xu and published by Springer. This book was released on 2014-02-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision has inspired reflection of many thinkers since the ancient times. With the rapid development of science and society, appropriate dynamic decision making has been playing an increasingly important role in many areas of human activity including engineering, management, economy and others. In most real-world problems, decision makers usually have to make decisions sequentially at different points in time and space, at different levels for a component or a system, while facing multiple and conflicting objectives and a hybrid uncertain environment where fuzziness and randomness co-exist in a decision making process. This leads to the development of fuzzy-like multiple objective multistage decision making. This book provides a thorough understanding of the concepts of dynamic optimization from a modern perspective and presents the state-of-the-art methodology for modeling, analyzing and solving the most typical multiple objective multistage decision making practical application problems under fuzzy-like uncertainty, including the dynamic machine allocation, closed multiclass queueing networks optimization, inventory management, facilities planning and transportation assignment. A number of real-world engineering case studies are used to illustrate in detail the methodology. With its emphasis on problem-solving and applications, this book is ideal for researchers, practitioners, engineers, graduate students and upper-level undergraduates in applied mathematics, management science, operations research, information system, civil engineering, building construction and transportation optimization

Transactions on Engineering Technologies

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Author :
Publisher : Springer
ISBN 13 : 981103950X
Total Pages : 160 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Transactions on Engineering Technologies by : Sio-Iong Ao

Download or read book Transactions on Engineering Technologies written by Sio-Iong Ao and published by Springer. This book was released on 2017-04-03 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected revised and extended research articles written by prominent researchers who participated in the International MultiConference of Engineers and Computer Scientists 2016, held in Hong Kong, 16-18 March 2016. Topics covered include engineering physics, communications systems, control theory, automation, engineering mathematics, scientific computing, electrical engineering, and industrial applications. The book showcases the tremendous advances in engineering technologies and applications, and also serves as an excellent reference work for researchers and graduate students working on engineering technologies, physical sciences and their applications.

Fuzzy Techniques for Decision Making

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Author :
Publisher : MDPI
ISBN 13 : 3038428876
Total Pages : 411 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Fuzzy Techniques for Decision Making by : José Carlos R. Alcantud

Download or read book Fuzzy Techniques for Decision Making written by José Carlos R. Alcantud and published by MDPI. This book was released on 2018-05-18 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Fuzzy Techniques for Decision Making" that was published in Symmetry

Multicriteria Decision Aid and Artificial Intelligence

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Publisher : John Wiley & Sons
ISBN 13 : 1118522494
Total Pages : 328 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Multicriteria Decision Aid and Artificial Intelligence by : Michael Doumpos

Download or read book Multicriteria Decision Aid and Artificial Intelligence written by Michael Doumpos and published by John Wiley & Sons. This book was released on 2013-02-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents recent advances in both models and systems for intelligent decision making. Organisations often face complex decisions requiring the assessment of large amounts of data. In recent years Multicriteria Decision Aid (MCDA) and Artificial Intelligence (AI) techniques have been applied with considerable success to support decision making in a wide range of complex real-world problems. The integration of MCDA and AI provides new capabilities relating to the structuring of complex decision problems in static and distributed environments. These include the handling of massive data sets, the modelling of ill-structured information, the construction of advanced decision models, and the development of efficient computational optimization algorithms for problem solving. This book covers a rich set of topics, including intelligent decision support technologies, data mining models for decision making, evidential reasoning, evolutionary multiobjective optimization, fuzzy modelling, as well as applications in management and engineering. Multicriteria Decision Aid and Artificial Intelligence: Covers all of the recent advances in intelligent decision making. Includes a presentation of hybrid models and algorithms for preference modelling and optimisation problems. Provides illustrations of new intelligent technologies and architectures for decision making in static and distributed environments. Explores the general topics on preference modelling and learning, along with the coverage of the main techniques and methodologies and applications. Is written by experts in the field. This book provides an excellent reference tool for the increasing number of researchers and practitioners interested in the integration of MCDA and AI for the development of effective hybrid decision support methodologies and systems. Academics and post-graduate students in the fields of operational research, artificial intelligence and management science or decision analysis will also find this book beneficial.

Fuzzy Linear Programming: Solution Techniques and Applications

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Author :
Publisher : Springer
ISBN 13 : 3030174212
Total Pages : 246 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Fuzzy Linear Programming: Solution Techniques and Applications by : Seyed Hadi Nasseri

Download or read book Fuzzy Linear Programming: Solution Techniques and Applications written by Seyed Hadi Nasseri and published by Springer. This book was released on 2019-05-29 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the necessary and essential backgrounds of fuzzy set theory and linear programming, particularly a broad range of common Fuzzy Linear Programming (FLP) models and related, convenient solution techniques. These models and methods belong to three common classes of fuzzy linear programming, namely: (i) FLP problems in which all coefficients are fuzzy numbers, (ii) FLP problems in which the right-hand-side vectors and the decision variables are fuzzy numbers, and (iii) FLP problems in which the cost coefficients, the right-hand-side vectors and the decision variables are fuzzy numbers. The book essentially generalizes the well-known solution algorithms used in linear programming to the fuzzy environment. Accordingly, it can be used not only as a textbook, teaching material or reference book for undergraduate and graduate students in courses on applied mathematics, computer science, management science, industrial engineering, artificial intelligence, fuzzy information processes, and operations research, but can also serve as a reference book for researchers in these fields, especially those engaged in optimization and soft computing. For textbook purposes, it also includes simple and illustrative examples to help readers who are new to the field.