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Author: Janusz Kacprzyk
Publisher:
ISBN:
Category :
Languages : en
Pages : 161
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Book Description
Author: Janusz Kacprzyk
Publisher:
ISBN:
Category :
Languages : en
Pages : 161
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Book Description
Author: J. Kacprzyk
Publisher: Springer Science & Business Media
ISBN: 9400938691
Category : Mathematics
Languages : en
Pages : 465
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Book Description
Optimization is of central concern to a number of discip lines. Operations Research and Decision Theory are often consi dered to be identical with optimizationo But also in other areas such as engineering design, regional policy, logistics and many others, the search for optimal solutions is one of the prime goals. The methods and models which have been used over the last decades in these areas have primarily been "hard" or "crisp", i. e. the solutions were considered to be either fea sible or unfeasible, either above a certain aspiration level or below. This dichotomous structure of methods very often forced the modeller to approximate real problem situations of the more-or-less type by yes-or-no-type models, the solutions of which might turn out not to be the solutions to the real prob lems. This is particularly true if the problem under considera tion includes vaguely defined relationships, human evaluations, uncertainty due to inconsistent or incomplete evidence, if na tural language has to be modelled or if state variables can only be described approximately. Until recently, everything which was not known with cer tainty, i. e. which was not known to be either true or false or which was not known to either happen with certainty or to be impossible to occur, was modelled by means of probabilitieso This holds in particular for uncertainties concerning the oc currence of events.
Author: Baoding Liu
Publisher: Springer
ISBN: 3540731652
Category : Technology & Engineering
Languages : en
Pages : 263
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Book Description
This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The purpose is to equip the readers with an axiomatic approach to deal with uncertainty. For this new edition the entire text has been totally rewritten. The chapters on chance theory and uncertainty theory are completely new. Mathematicians, researchers, engineers, designers, and students will find this work a stimulating and useful reference.
Author: Didier Dubois
Publisher:
ISBN:
Category :
Languages : en
Pages : 424
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Book Description
Author: Steffen Bocklisch
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112757394
Category : Mathematics
Languages : en
Pages : 236
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Book Description
No detailed description available for "Fuzzy Sets Applications, Methodological Approaches, and Results".
Author: W. Karwowski
Publisher: Elsevier
ISBN: 1483294366
Category : Psychology
Languages : en
Pages : 477
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Book Description
The development of the theory of fuzzy sets was motivated largely by the need for a computational framework for dealing with systems in which human judgement, behavior and emotions play a dominant role. Although there are very few papers on fuzzy sets in the literature of psychology and cognitive science, the theory of fuzzy sets provides a much better model for human cognition than traditional approaches.By focusing on the application of fuzzy sets in human factors, this book provides a valuable, authoritative overview of what the theory is about and how it can be applied. An impressive feature is the broad spectrum of applications, ranging from the use of fuzzy methods in the ergonomic diagnostics of industrial production systems to approximate reasoning in risk analysis and the modeling of human-computer interactions in information retrieval tasks. Equally impressive is the very wide variety of disciplines and countries represented by the contributors.
Author: P.P. Wang
Publisher: Springer Science & Business Media
ISBN: 1461337542
Category : Mathematics
Languages : en
Pages : 421
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Book Description
Since its inception by Professor Lotfi Zadeh about 18 years ago, the theory of fuzzy sets has evolved in many directions, and is finding applications in a wide variety of fields in which the phenomena under study are too complex or too ill-defined to be analyzed by conventional techniques. Thus, by providing a basis for a systematic approach to approximate reasoning and inexact inference, the theory of fuzzy sets may well have a substantial impact on scientific methodology in the years ahead, particularly in the realms of psychology, economics, engineering, law, medicine, decision-analysis, information retrieval, and artificial intelli gence. This volume consists of 24 selected papers invited by the editor, Professor Paul P. Wang. These papers cover the theory and applications of fuzzy sets, almost equal in number. We are very fortunate to have Professor A. Kaufmann to contribute an overview paper of the advances in fuzzy sets. One special feature of this volume is the strong participation of Chinese researchers in this area. The fact is that Chinese mathematicians, scientists and engineers have made important contributions to the theory and applications of fuzzy sets through the past decade. However, not until the visit of Professor A. Kaufmann to China in 1974 and again in 1980, did the Western World become fully aware of the important work of Chinese researchers. Now, Professor Paul Wang has initiated the effort to document these important contributions in this volume to expose them to the western researchers.
Author: E Ruspini
Publisher: CRC Press
ISBN: 1420050397
Category : Computers
Languages : en
Pages : 1229
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Book Description
Initially conceived as a methodology for the representation and manipulation of imprecise and vague information, fuzzy computation has found wide use in problems that fall well beyond its originally intended scope of application. Many scientists and engineers now use the paradigms of fuzzy computation to tackle problems that are either intractable
Author: Jagdeep Kaur
Publisher: Springer
ISBN: 331931274X
Category : Technology & Engineering
Languages : en
Pages : 132
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Book Description
The book presents a snapshot of the state of the art in the field of fully fuzzy linear programming. The main focus is on showing current methods for finding the fuzzy optimal solution of fully fuzzy linear programming problems in which all the parameters and decision variables are represented by non-negative fuzzy numbers. It presents new methods developed by the authors, as well as existing methods developed by others, and their application to real-world problems, including fuzzy transportation problems. Moreover, it compares the outcomes of the different methods and discusses their advantages/disadvantages. As the first work to collect at one place the most important methods for solving fuzzy linear programming problems, the book represents a useful reference guide for students and researchers, providing them with the necessary theoretical and practical knowledge to deal with linear programming problems under uncertainty.
Author: Dragan Pamucar
Publisher: MDPI
ISBN: 3036515747
Category : Computers
Languages : en
Pages : 86
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Book Description
Most real-world search and optimization problems naturally involve multiple criteria as objectives. Generally, symmetry, asymmetry, and anti-symmetry are basic characteristics of binary relationships used when modeling optimization problems. Moreover, the notion of symmetry has appeared in many articles about uncertainty theories that are employed in multi-criteria problems. Different solutions may produce trade-offs (conflicting scenarios) among different objectives. A better solution with respect to one objective may compromise other objectives. There are various factors that need to be considered to address the problems in multidisciplinary research, which is critical for the overall sustainability of human development and activity. In this regard, in recent decades, decision-making theory has been the subject of intense research activities due to its wide applications in different areas. The decision-making theory approach has become an important means to provide real-time solutions to uncertainty problems. Theories such as probability theory, fuzzy set theory, type-2 fuzzy set theory, rough set, and uncertainty theory, available in the existing literature, deal with such uncertainties. Nevertheless, the uncertain multi-criteria characteristics in such problems have not yet been explored in depth, and there is much left to be achieved in this direction. Hence, different mathematical models of real-life multi-criteria optimization problems can be developed in various uncertain frameworks with special emphasis on optimization problems.
