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Author: Jana Krejčí
Publisher: Springer
ISBN: 3319777157
Category : Technology & Engineering
Languages : en
Pages : 273
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Book Description
This book offers the first comprehensive and critical literature review of fuzzy pairwise comparison methods derived from methods originally developed for crisp pairwise comparison matrices. It proposes new fuzzy extensions of these methods and provides a detailed study of the differences and analogies between all the reviewed methods, as well as a detailed description of their drawbacks, with the help of many numerical examples. In order to prevent the drawbacks related to the reviewed fuzzy pairwise comparison methods, the book introduces constrained fuzzy arithmetic in fuzzy extension of the pairwise comparison methods. It proposes new fuzzy pairwise comparison methods based on constrained fuzzy arithmetic and critically compares them with the reviewed methods. It describes the application of the newly developed methods to incomplete large-dimensional pairwise comparison matrices showcased in a real-life case study. Written for researchers, graduate and PhD students interested in multi-criteria decision making methods based on both crisp and fuzzy pairwise comparison matrices, this self-contained book offers an overview of cutting-edge research and all necessary information to understand the described tools and use them in real-world applications.
Author: Jana Krejčí
Publisher: Springer
ISBN: 3319777157
Category : Technology & Engineering
Languages : en
Pages : 273
Get Book
Book Description
This book offers the first comprehensive and critical literature review of fuzzy pairwise comparison methods derived from methods originally developed for crisp pairwise comparison matrices. It proposes new fuzzy extensions of these methods and provides a detailed study of the differences and analogies between all the reviewed methods, as well as a detailed description of their drawbacks, with the help of many numerical examples. In order to prevent the drawbacks related to the reviewed fuzzy pairwise comparison methods, the book introduces constrained fuzzy arithmetic in fuzzy extension of the pairwise comparison methods. It proposes new fuzzy pairwise comparison methods based on constrained fuzzy arithmetic and critically compares them with the reviewed methods. It describes the application of the newly developed methods to incomplete large-dimensional pairwise comparison matrices showcased in a real-life case study. Written for researchers, graduate and PhD students interested in multi-criteria decision making methods based on both crisp and fuzzy pairwise comparison matrices, this self-contained book offers an overview of cutting-edge research and all necessary information to understand the described tools and use them in real-world applications.
Author: Jiri Mazurek
Publisher: Springer Nature
ISBN: 3031238842
Category : Business & Economics
Languages : en
Pages : 153
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Book Description
This book tackles issues associated with inconsistency in pairwise comparisons from both theoretical and practical perspectives. Human judgments are seldom absolutely consistent, or absolutely precise, therefore problems of measuring and handling inconsistency belong among hot topics of the current research, especially in the theoretical framework of multiple criteria decision aiding (MCDA). The book presents and discusses the state-of-the-art of this field including both cardinal and ordinal inconsistency, the problems of different scales for comparisons and inconsistency reduction, and the alternative approaches to inconsistency detection and measurement. This book is a unique one-stop guide for readers who are interested in inconsistency in pairwise comparisons. Researchers and practitioners in the area of multiple-criteria decision-making (MCDM) and the analytic hierarchy process (AHP) will find this informative book particularly valuable.
Author: Jaroslav Ramík
Publisher: Springer Nature
ISBN: 3030398919
Category : Mathematics
Languages : en
Pages : 240
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Book Description
This book examines relationships between pairwise comparisons matrices. It first provides an overview of the latest theories of pairwise comparisons in decision making, discussing the pairwise comparison matrix, a fundamental tool for further investigation, as a deterministic matrix with given elements. Subsequent chapters then investigate these matrices under uncertainty, as a matrix with vague elements (fuzzy and/or intuitionistic fuzzy ones), and also as random elements. The second part of the book describes the application of the theoretical results in the three most popular multicriteria decision-making methods: the Analytic Hierarchy Process (AHP), PROMETHEE and TOPSIS. This book appeals to scholars in areas such as decision theory, operations research, optimization theory, algebra, interval analysis and fuzzy sets.
Author: Jie Wang
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 17
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Book Description
In this article, we extend the original TODIM (Portuguese acronym for Interactive Multi-Criteria Decision Making) method to the 2-tuple linguistic neutrosophic fuzzy environment to propose the 2TLNNs TODIM method. In the extended method, we use 2-tuple linguistic neutrosophic numbers (2TLNNs) to present the criteria values in multiple attribute group decision making (MAGDM) problems.
Author: Ali Emrouznejad
Publisher: CRC Press
ISBN: 1498732488
Category : Business & Economics
Languages : en
Pages : 408
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Book Description
This book is the first in the literature to present the state of the art and some interesting and relevant applications of the Fuzzy Analytic Hierarchy Process (FAHP). The AHP is a conceptually and mathematically simple, easily implementable, yet extremely powerful tool for group decision making and is used around the world in a wide variety of decision situations, in fields such as government, business, industry, healthcare, and education. The aim of this book is to study various fuzzy methods for dealing with the imprecise and ambiguous data in AHP. Features: First book available on FAHP. Showcases state-of-the-art developments. Contains several novel real-life applications. Provides useful insights to both academics and practitioners in making group decisions under uncertainty This book provides the necessary background to work with existing fuzzy AHP models. Once the material in this book has been mastered, the reader will be able to apply fuzzy AHP models to his or her problems for making decisions with imprecise data.
Author: Martin Gavalec
Publisher: Springer
ISBN: 3319083236
Category : Business & Economics
Languages : en
Pages : 225
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Book Description
The book is a benefit for graduate and postgraduate students in the areas of operations research, decision theory, optimization theory, linear algebra, interval analysis and fuzzy sets. The book will also be useful for the researchers in the respective areas. The first part of the book deals with decision making problems and procedures that have been established to combine opinions about alternatives related to different points of view. Procedures based on pairwise comparisons are thoroughly investigated. In the second part we investigate optimization problems where objective functions and constraints are characterized by extremal operators such as maximum, minimum or various triangular norms (t-norms). Matrices in max-min algebra are useful in applications such as automata theory, design of switching circuits, logic of binary relations, medical diagnosis, Markov chains, social choice, models of organizations, information systems, political systems and clustering. The input data in real problems are usually not exact and can be characterized by interval values.
Author: Cengiz Kahraman
Publisher: Springer Nature
ISBN: 3031394380
Category : Technology & Engineering
Languages : en
Pages : 425
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Book Description
This book presents a comprehensive guide to Analytic Hierarchy Process with Fuzzy Sets Extensions. Written by prominent researchers, it offers readers a step-by-step approach to decision-making that can be applied to a wide range of real-world problems. With clear explanations and practical examples, this book is an essential resource for researchers, lecturers, and postgraduate students pursuing research on Analytic Hierarchy Process with Fuzzy Sets Extensions. Each chapter in the book provides a wealth of both basic and advanced concepts, including Interval Type-2 Fuzzy AHP, Intuitionistic Fuzzy AHP, Hesitant Fuzzy AHP, Pythagorean Fuzzy AHP, Picture Fuzzy AHP, q-Rung Orthopair Fuzzy AHP, Spherical Fuzzy AHP, Circular Intuitionistic Fuzzy AHP, and Decomposed Fuzzy AHP. To foster a better understanding, all the chapters include relevant numerical examples or case studies, making it easy to apply the concepts in practice. Moreover, the book extends all the main aspects of Analytic Hierarchy Process with Fuzzy Sets Extensions, presenting a dynamic snapshot of the field that is expected to stimulate new directions, ideas, and developments. In summary, this book is an essential reference guide for anyone seeking to gain a deep understanding of Analytic Hierarchy Process with Fuzzy Sets Extensions. It is written in a rigorous and scholarly manner, making it a valuable resource for researchers and academics. Order your copy today and discover the practical insights and strategies for decision-making offered by this authoritative volume.
Author: Papajorgji, Petraq
Publisher: IGI Global
ISBN: 1466639474
Category : Computers
Languages : en
Pages : 252
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Book Description
Many factors can impact large-scale enterprise management systems, and maintaining these systems can be a complicated and challenging process. Therefore, businesses can benefit from an assortment of models and management styles to track and collect data for processes. Enterprise Business Modeling, Optimization Techniques, and Flexible Information Systems supplies a wide array of research on the intersections of business modeling, information systems, and optimization techniques. These various business models and structuring methods are proposed to provide ideas, methods, and points of view for managers, practitioners, entrepreneurs, and researchers on how to improve business processes.
Author: Hans-Jürgen Zimmermann
Publisher: Springer Science & Business Media
ISBN: 9401579490
Category : Business & Economics
Languages : en
Pages : 408
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Book Description
Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others. Theoretical advances, too, have been made in many directions, and a gap has arisen between advanced theoretical topics and applications, which often use the theory at a rather elementary level. The primary goal of this book is to close this gap - to provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction. This revised book updates the research agenda, with the chapters of possibility theory, fuzzy logic and approximate reasoning, expert systems and control, decision making and fuzzy set models in operations research being restructured and rewritten. Exercises have been added to almost all chapters and a teacher's manual is available upon request.
Author: Florentin Smarandache