Fuzzy Reasoning In Decision Making And Optimization

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Fuzzy Reasoning in Decision Making and Optimization

Christer Carlsson,Robert Fuller
Fuzzy Reasoning in Decision Making and Optimization Book PDF

Author : Christer Carlsson,Robert Fuller
Publisher : Physica
Page : 344 pages
File Size : 50,7 Mb
Release : 2012-08-27
Category : Business & Economics
ISBN : 9783790818055

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Fuzzy Reasoning in Decision Making and Optimization by Christer Carlsson,Robert Fuller Pdf

Many decision-making tasks are too complex to be understood quantitatively, however, humans succeed by using knowledge that is imprecise rather than precise. Fuzzy logic resembles human reasoning in its use of imprecise informa tion to generate decisions. Unlike classical logic which requires a deep under standing of a system, exact equations, and precise numeric values, fuzzy logic incorporates an alternative way of thinking, which allows modeling complex systems using a higher level of abstraction originating from our knowledge and experience. Fuzzy logic allows expressing this knowledge with subjective concepts such as very big and a long time which are mapped into exact numeric ranges. Since knowledge can be expressed in a more natural by using fuzzy sets, many decision (and engineering) problems can be greatly simplified. Fuzzy logic provides an inference morphology that enables approximate human reasoning capabilities to be applied to knowledge-based systems. The theory of fuzzy logic provides a mathematical strength to capture the un certainties associated with human cognitive processes, such as thinking and reasoning. The conventional approaches to knowledge representation lack the means for representating the meaning of fuzzy concepts. As a consequence, the approaches based on first order logic do not provide an appropriate con ceptual framework for dealing with the representation of commonsense knowl edge, since such knowledge is by its nature both lexically imprecise and non categorical.

Fuzzy Logic for Planning and Decision Making

Freerk A. Lootsma
Fuzzy Logic for Planning and Decision Making Book PDF

Author : Freerk A. Lootsma
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 45,5 Mb
Release : 2013-03-14
Category : Business & Economics
ISBN : 9781475726183

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Fuzzy Logic for Planning and Decision Making by Freerk A. Lootsma Pdf

This book starts with the basic concepts of Fuzzy Logic: the membership function, the intersection and the union of fuzzy sets, fuzzy numbers, and the extension principle underlying the algorithmic operations. Several chapters are devoted to applications of Fuzzy Logic in Operations Research: PERT planning with uncertain activity durations, Multi-Criteria Decision Analysis (MCDA) with vague preferential statements, and Multi-Objective Optimization (MOO) with weighted degrees of satisfaction. New items are: Fuzzy PERT using activity durations with triangular membership functions, Fuzzy SMART with a sensitivity analysis based upon Fuzzy Logic, the Additive and the Multiplicative AHP with a similar feature, ELECTRE using the ideas of the AHP and SMART, and a comparative study of the ideal-point methods for MOO. Finally, earlier studies of colour perception illustrate the attempts to find a physiological basis for the set-theoretical and the algorithmic operations in Fuzzy Logic. The last chapter also discusses some key issues in linguistic categorization and the prospects of Fuzzy Logic as a multi-disciplinary research activity. Audience: Researchers and students working in applied mathematics, operations research, management science, business administration, econometrics, industrial engineering, information systems, artificial intelligence, mathematical psychology, and psycho-physics.

Fuzzy Multi-Criteria Decision Making

Cengiz Kahraman
Fuzzy Multi Criteria Decision Making Book PDF

Author : Cengiz Kahraman
Publisher : Springer Science & Business Media
Page : 591 pages
File Size : 44,6 Mb
Release : 2008-08-09
Category : Computers
ISBN : 9780387768137

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Fuzzy Multi-Criteria Decision Making by Cengiz Kahraman Pdf

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.

Fuzzy Optimization, Decision-making and Operations Research

Chiranjibe Jana,Madhumangal Pal,Ghulam Muhiuddin,Peide Liu
Fuzzy Optimization Decision making and Operations Research Book PDF

Author : Chiranjibe Jana,Madhumangal Pal,Ghulam Muhiuddin,Peide Liu
Publisher : Springer
Page : 0 pages
File Size : 42,6 Mb
Release : 2023-10-25
Category : Business & Economics
ISBN : 3031356675

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Fuzzy Optimization, Decision-making and Operations Research by Chiranjibe Jana,Madhumangal Pal,Ghulam Muhiuddin,Peide Liu Pdf

After developing fuzzy set theory, many contributors focused their research on the extension of fuzzy sets and their computational methodologies, strengthening modern science and technology. In some real-life phenomena, the conventional methods and traditional fuzzy sets cannot be explained, whereas the extension of fuzzy sets and effective new computing methods can explain it adequately. This edited book presents a new view of fuzzy set-measurement methods entitled "Fuzzy Optimization, Decision Making and Operations Research: Theory and Applications", which deals with different perspectives and areas of research. All chapters are divided into three parts: fuzzy optimization, fuzzy decision-making, and fuzzy operation research. The goal of this book is to provide a relevant methodological framework covering the core fields of fuzzy decision-making method, fuzzy optimization method, fuzzy graphics method, fuzzy operations research, fuzzy optimization using graph theory, fuzzy support systems and its real and industrial applications. For many people, fuzzy words' industrial engineering and scientific meanings are still an advanced system for improving modern science and technology. Although fuzzy logic can be applied to many different areas, people do not know how different fuzzy approaches can be applied to various products currently on the market. It is written for professionals who wish to share their expertise, improve their findings, and provide relevant information in the fields of fuzzy methods and their application in decision-making, optimization theory, graph theory and operations research. This book is aimed at experts and practitioners in the fields of fuzzy optimization, fuzzy decision-making, and fuzzy operation research.

Fuzzy Reasoning in Information, Decision and Control Systems

S.G. Tzafestas,Anastasios N. Venetsanopoulos
Fuzzy Reasoning in Information Decision and Control Systems Book PDF

Author : S.G. Tzafestas,Anastasios N. Venetsanopoulos
Publisher : Springer Science & Business Media
Page : 548 pages
File Size : 50,8 Mb
Release : 1994-02-28
Category : Technology & Engineering
ISBN : 9780792326434

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Fuzzy Reasoning in Information, Decision and Control Systems by S.G. Tzafestas,Anastasios N. Venetsanopoulos Pdf

Great progresses have been made in the application of fuzzy set theory and fuzzy logic. Most remarkable area of application is 'fuzzy control', where fuzzy logic was first applied to plant control systems and its use is expanding to consumer products. Most of fuzzy control systems uses fuzzy inference with max-min or max-product composition, similar to the algorithm that first used by Mamdani in 1970s. Some algorithms are developed to refine fuzzy controls systems but the main part of algorithm stays the same. Triggered by the success of fuzzy control systems, other ways of applying fuzzy set theory are also investigated. They are usually referred to as 'fuzzy expert sys tems', and their purpose are to combine the idea of fuzzy theory with AI based approach toward knowledge processing. These approaches can be more generally viewed as 'fuzzy information processing', that is to bring fuzzy idea into informa tion processing systems.

Fuzzy Approach to Reasoning and Decision-Making

Vilém Novák
Fuzzy Approach to Reasoning and Decision Making Book PDF

Author : Vilém Novák
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 42,5 Mb
Release : 1992
Category : Business & Economics
ISBN : 0792313585

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Fuzzy Approach to Reasoning and Decision-Making by Vilém Novák Pdf

The papers presented at the Symposium focused mainly on two fields of interest. First, there were papers dealing with the theoretical background of fuzzy logic and with applications of fuzzy reasoning to the problems of artificial intelligence, robotics and expert systems. Second, quite a large number of papers were devoted to fuzzy approaches to modelling of decision-making situations under uncertainty and vagueness and their applications to the evaluation of alternatives, system control and optimization. Apart from that, there were also some interesting contributions from other areas, like fuzzy classifications and the use of fuzzy approaches in quantum physics. This volume contains the most valuable and interesting papers presented at the Symposium and will be of use to all those researchers interested in fuzzy set theory and its applications.

Picture Fuzzy Logic and Its Applications in Decision Making Problems

Chiranjibe Jana,Madhumangal Pal,Valentina Emilia Balas,Ronald R. Yager
Picture Fuzzy Logic and Its Applications in Decision Making Problems Book PDF

Author : Chiranjibe Jana,Madhumangal Pal,Valentina Emilia Balas,Ronald R. Yager
Publisher : Elsevier
Page : 296 pages
File Size : 50,7 Mb
Release : 2023-12-15
Category : Computers
ISBN : 9780443220234

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Picture Fuzzy Logic and Its Applications in Decision Making Problems by Chiranjibe Jana,Madhumangal Pal,Valentina Emilia Balas,Ronald R. Yager Pdf

Picture Fuzzy Logic and Its Applications in Decision Making Problems provides methodological frameworks and the latest empirical research findings in the field of picture fuzzy operators, and their applications in scientific research and real-world engineering problems. Although fuzzy logic can be applied in a number of different areas, many researchers and developers are not yet familiar with how picture fuzzy operators can be applied to a variety of advanced decision-making problems. Picture fuzzy set is a more powerful tool than fuzzy set or intuitionistic fuzzy set to tackle uncertainty in a variety real-world modeling applications. Picture fuzzy set is actually the generalization of intuitionistic fuzzy set, and intuitionistic fuzzy set is the generalization of fuzzy set. In this book, the picture fuzzy sets are investigated, and different types of operators are defined to solve a number of important decision making and optimization problems. The hybrid operator on picture fuzzy set based on the combination of picture fuzzy weighted averaging operators and picture fuzzy weighted geometric operators is developed and named Hybrid Picture Fuzzy Weighted Averaging Geometric (H-PFWAG) operator. Another operator is developed for interval-valued picture fuzzy environment, which is named Hybrid Interval-Valued Picture Fuzzy Weighted Averaging Geometric (H-IVPFWAG) operator. These two operators are then demonstrated as solutions to Multiple-Attribute Decision-Making (MADM) problems. The picture fuzzy soft weighted aggregation operators (averaging and geometric) are defined, and these are applied to develop a multi-criteria group decision making system. The Dombi operator in the picture fuzzy environment is then defined and applied to solve MADM problems. Based on the Dombi operator, several other operators are defined. These are the picture fuzzy Dombi aggregation operators, including picture fuzzy Dombi weighted averaging operator, picture fuzzy Dombi order weighted averaging operator, picture fuzzy Dombi hybrid averaging operator, picture fuzzy Dombi weighted geometric operator, picture fuzzy Dombi order weighted geometric operator, and picture fuzzy Dombi hybrid geometric operator. Each of these operators are used to solve MADM problems. An extension picture fuzzy set known as m-polar picture fuzzy set is proposed and investigated along with many properties of m-polar picture fuzzy Dombi weighted averaging and geometric operators; each of these operators are applied to MADM problems. Another extension of the picture fuzzy set is the interval-valued picture fuzzy uncertain linguistic environment. In this set, interval-valued picture fuzzy uncertain linguistic weighted averaging and geometric operators are developed, and interval-valued picture fuzzy uncertain linguistic Dombi weighted aggregation operators are utilized in the MADM process. In the complex picture fuzzy environment, the authors demonstrate some complex picture fuzzy weighted aggregation operators to be used in solving MADM problems. Another approach called MABAC with picture fuzzy numbers is studied and developed as a multi-attribute group decision making model. Furthermore, the picture fuzzy linear programming problem (PFLPP) is initiated, in which the parameters are picture fuzzy numbers (PFNs). The picture fuzzy optimization method is applied for solving the PFLPP. This concept is used to solve the picture fuzzy multi-objective programming problem (PFMOLPP) under the picture fuzzy environment. Provides in-depth explanations of picture fuzzy logic and its application to computational modeling problems Helps readers understand the difference between various fuzzy logic methods Provides concepts used to develop and solve problems within the picture fuzzy environment

Fuzzy and Multi-Level Decision Making

E. Stanley Lee,Hsu-shih Shih
Fuzzy and Multi Level Decision Making Book PDF

Author : E. Stanley Lee,Hsu-shih Shih
Publisher : Springer Science & Business Media
Page : 199 pages
File Size : 52,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447106838

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Fuzzy and Multi-Level Decision Making by E. Stanley Lee,Hsu-shih Shih Pdf

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.

Fuzzy Logic and Optimization

Sudarsan Nanda
Fuzzy Logic and Optimization Book PDF

Author : Sudarsan Nanda
Publisher : Unknown
Page : 196 pages
File Size : 55,7 Mb
Release : 2006
Category : Computers
ISBN : UVA:X030103955

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Fuzzy Logic and Optimization by Sudarsan Nanda Pdf

Fuzzy Theory, based on multi-valued logic, was suggested by L.A. Zadeh in the year 1965 in a paper entitled ""Fuzzy Sets"" published in Information and Control. Since then fuzzy set theory has found applications in several branches of knowledge, more particularly in subjects like Optimization and Computer Science. This book is an introduction to the current state of knowledge in fuzzy set theory and its applications in the emerging areas like optimization, decision making, linear programming, goal programming, quadratic programming, game theory, operations research and in related fields.

Fuzzy Optimization Techniques in the Areas of Science and Management

Santosh Kumar Das,Massimiliano Giacalone
Fuzzy Optimization Techniques in the Areas of Science and Management Book PDF

Author : Santosh Kumar Das,Massimiliano Giacalone
Publisher : CRC Press
Page : 210 pages
File Size : 51,9 Mb
Release : 2022-10-17
Category : Mathematics
ISBN : 9781000718539

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Fuzzy Optimization Techniques in the Areas of Science and Management by Santosh Kumar Das,Massimiliano Giacalone Pdf

This book helps to enhance the application of fuzzy logic optimization in the areas of science and engineering. It includes implementation and models and paradigms, such as path planning and routing design for different wireless networks, organization behavior strategies models, and so forth. It also: Explains inventory control management, uncertainties management, loss minimization, game optimization, data analysis and prediction, different decision-making system and management, and so forth Describes applicability of fuzzy optimization techniques in areas of science and management Resolves several issues based on uncertainty using member function Helps map different problems based on mathematical models Includes issues and problems based on linear and nonlinear optimizations Focuses on management science such as manpower management and inventory planning This book is aimed at researchers and graduate students in signal processing, power systems, systems and industrial engineering, and computer networks.

Applications of Fuzzy Optimization and Fuzzy Decision Making

Vassilis C Gerogiannis
Applications of Fuzzy Optimization and Fuzzy Decision Making Book PDF

Author : Vassilis C Gerogiannis
Publisher : Unknown
Page : 416 pages
File Size : 55,7 Mb
Release : 2021-10-26
Category : Electronic
ISBN : 3036522654

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Applications of Fuzzy Optimization and Fuzzy Decision Making by Vassilis C Gerogiannis Pdf

The aim of the Special Issue "Applications of Fuzzy Optimization and Fuzzy Decision Making" is to expand the applicability of fuzzy optimization and decision making for solving various types of problems in the areas of economics, business, engineering, management, operations research, etc. Any experimental research or empirical study of theoretical developments in fuzzy optimization and decision making is highly welcome. Additionally, research papers presenting solution methods and/or studying their computational complexity, and proposing new algorithms to solve fuzzy optimization and decision making problems, in an effective and efficient manner, are also welcome. We are looking forward to receive innovative approaches that apply, in practical settings, state-of-the art mathematical/algorithmic techniques from fuzzy technology, computational intelligence and soft-computing methodologies, with the aim to offer robust solutions for complex optimization and decision making problems characterized by non-probabilistic uncertainty, vagueness, ambiguity, and hesitation. Such type of papers will address the suitability, validity, and advantages of using fuzzy technologies and the enhancement of them using intelligent methods to treat real-life problems from various disciplines.

Fuzzy Logic in Its 50th Year

Cengiz Kahraman,Uzay Uzay Kaymak,Adnan Yazici
Fuzzy Logic in Its 50th Year Book PDF

Author : Cengiz Kahraman,Uzay Uzay Kaymak,Adnan Yazici
Publisher : Springer
Page : 406 pages
File Size : 53,9 Mb
Release : 2016-05-17
Category : Technology & Engineering
ISBN : 9783319310930

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Fuzzy Logic in Its 50th Year by Cengiz Kahraman,Uzay Uzay Kaymak,Adnan Yazici Pdf

This book offers a multifaceted perspective on fuzzy set theory, discussing its developments over the last 50 years. It reports on all types of fuzzy sets, from ordinary to hesitant fuzzy sets, with each one explained by its own developers, authoritative scientists well known for their previous works. Highlighting recent theorems and proofs, the book also explores how fuzzy set theory has come to be extensively used in almost all branches of science, including the health sciences, decision science, earth science and the social sciences alike. It presents a wealth of real-world sample applications, from routing problem to robotics, and from agriculture to engineering. By offering a comprehensive, timely and detailed portrait of the field, the book represents an excellent reference guide for researchers, lecturers and postgraduate students pursuing research on new fuzzy set extensions.

Fuzzy TOPSIS

Mohamed El Alaoui
Fuzzy TOPSIS Book PDF

Author : Mohamed El Alaoui
Publisher : CRC Press
Page : 217 pages
File Size : 53,6 Mb
Release : 2021-05-26
Category : Technology & Engineering
ISBN : 9781000385755

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Fuzzy TOPSIS by Mohamed El Alaoui Pdf

Presents the use of fuzzy logic as a logic and as an uncertainty theory in the decision-making context Discusses the development of the TOPSIS method in classical and fuzzy context Justifies the use of fuzzy logic as an uncertainty theory Provides illustrative examples for each fuzzy TOPSIS extension Includes related MATLAB codes and case studies

Multistage Fuzzy Control

Janusz Kacprzyk
Multistage Fuzzy Control Book PDF

Author : Janusz Kacprzyk
Publisher : Wiley-Blackwell
Page : 424 pages
File Size : 47,7 Mb
Release : 2012-08-02
Category : Fuzzy systems
ISBN : 0470744162

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Multistage Fuzzy Control by Janusz Kacprzyk Pdf

This valuable and timely publication from a highly acclaimed expert in the field provides an overall view of the discipline of multistage fuzzy control as well as a wealth of new ideas in decision-making and reinforcement learning Multistage Fuzzy Control 2nd Edition follows its predecessor, a classic in the field, in explaining the essential principles of fuzzy logic and describing both the theoretical and practical advantages of a model-based, prescriptive approach. In the 10 years since the first edition however, a myriad of new perspectives and developments have emerged - many as a result of the author s own research that earned him the 2006 IEEE Computational Intelligence Society Fuzzy Systems Pioneer Award for pioneering works on multistage fuzzy control. The use of some fuzzy tools for the analysis and optimization of multistage decision-making and control, notably of a fuzzy dynamic programming type, is now considered important and popular with researchers from different fields. This new edition features 30% new material in both theory and applications, with much space devoted to new research into reinforcement learning (a sub-area of machine learning concerned with how actions are to be taken in an environment so as to maximize some long term reward), and also to some extensions towards fuzzy reinforcement learning or neurofuzzy reinforcement learning. It also includes many new elements related to IT (information technology), notably to data mining, learning, bioinformatics, etc. Multistage Fuzzy Control 2nd Edition is an essential handbook for those wishing to resolve real-world problems in control and decision analysis through the use of fuzzy-logic-based methods. Offers a valuable and timely publication from a highly acclaimed expert in the field, providing an overall view of the discipline of multistage fuzzy control as well as a wealth of new research. Presents 30% new material, including important new ideas such as reinforcement learning, neurofuzzy architectures, evolutionary optimization and applications in the areas of bioinformatics, mobile robots and computer communication. Includes a range of new applications related to power engineering, such as the use of fuzzy dynamic programming for water reservoir control, mobile robot control, data transfer control in computer networks, sequential pattern mining and predicting the secondary structure of ribonucleic acid (and some other problems in bioinformatics.

Fuzzy Logic Based in Optimization Methods and Control Systems and Its Applications

Ali Sadollah
Fuzzy Logic Based in Optimization Methods and Control Systems and Its Applications Book PDF

Author : Ali Sadollah
Publisher : Unknown
Page : 96 pages
File Size : 51,9 Mb
Release : 2018
Category : Mathematics
ISBN : 1789840686

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Fuzzy Logic Based in Optimization Methods and Control Systems and Its Applications by Ali Sadollah Pdf

Fuzzy logic models can be used to demonstrate human decision making in complex situations, and can therefore be an important tool in examining natural complexity. Moreover, fuzzy logic can be exploited to predict chaotic behaviors. But why is fuzzy logic so valuable? The idea of fuzzy logic has been around since 1965, and since its introduction thousands of applications of fuzzy logic have been implemented in industry, medicine, and even economic applications and patents. How did this invaluable theory achieve such great success? This book aims to compare well-known and well-used membership functions to demonstrate how to select the best membership functions and show when and why to utilize them. This book also demonstrates how different fields of studies utilize fuzzy logic showing its wide reach and relevance.