Pairwise Comparison Matrices And Their Fuzzy Extension

Author : Jana Krejčí
Publisher : Springer
Page : 273 pages
File Size : 46,5 Mb
Release : 2018-03-16
Category : Technology & Engineering
ISBN : 9783319777153

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Pairwise Comparison Matrices and their Fuzzy Extension by Jana Krejčí Pdf

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
Page : 153 pages
File Size : 43,9 Mb
Release : 2023-03-22
Category : Business & Economics
ISBN : 9783031238840

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Advances in Pairwise Comparisons by Jiri Mazurek Pdf

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
Page : 240 pages
File Size : 40,8 Mb
Release : 2020-02-24
Category : Mathematics
ISBN : 9783030398910

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Pairwise Comparisons Method by Jaroslav Ramík Pdf

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 : Ali Emrouznejad,William Ho
Publisher : CRC Press
Page : 408 pages
File Size : 41,5 Mb
Release : 2017-09-18
Category : Business & Economics
ISBN : 9781498732482

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Fuzzy Analytic Hierarchy Process by Ali Emrouznejad,William Ho Pdf

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,Jaroslav Ramík,Karel Zimmermann
Publisher : Springer
Page : 231 pages
File Size : 49,5 Mb
Release : 2014-10-08
Category : Business & Economics
ISBN : 9783319083230

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Decision Making and Optimization by Martin Gavalec,Jaroslav Ramík,Karel Zimmermann Pdf

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,Selcuk Cebi
Publisher : Springer Nature
Page : 425 pages
File Size : 40,9 Mb
Release : 2023-10-28
Category : Technology & Engineering
ISBN : 9783031394386

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Analytic Hierarchy Process with Fuzzy Sets Extensions by Cengiz Kahraman,Selcuk Cebi Pdf

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 : Cengiz Kahraman,Fatma Kutlu Gündoğdu
Publisher : Springer Nature
Page : 551 pages
File Size : 41,8 Mb
Release : 2020-05-27
Category : Technology & Engineering
ISBN : 9783030454616

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Decision Making with Spherical Fuzzy Sets by Cengiz Kahraman,Fatma Kutlu Gündoğdu Pdf

This book introduces readers to the novel concept of spherical fuzzy sets, showing how these sets can be applied in practice to solve various decision-making problems. It also demonstrates that these sets provide a larger preference volume in 3D space for decision-makers. Written by authoritative researchers, the various chapters cover a large amount of theoretical and practical information, allowing readers to gain an extensive understanding of both the fundamentals and applications of spherical fuzzy sets in intelligent decision-making and mathematical programming.

Author : Jie Wang, Guiwu Wei, Mao Lu
Publisher : Infinite Study
Page : 17 pages
File Size : 55,6 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment by Jie Wang, Guiwu Wei, Mao Lu Pdf

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 : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : MDPI
Page : 450 pages
File Size : 54,7 Mb
Release : 2019-04-04
Category : Mathematics
ISBN : 9783038974758

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Author : Manolitzas, Panagiotis,Zopounidis, Constantin,Talias, Michael,Grigoroudis, Evangelos,Matsatsinis, Nikolaos
Publisher : IGI Global
Page : 401 pages
File Size : 43,6 Mb
Release : 2020-09-18
Category : Business & Economics
ISBN : 9781799854449

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Interdisciplinary Perspectives on Operations Management and Service Evaluation by Manolitzas, Panagiotis,Zopounidis, Constantin,Talias, Michael,Grigoroudis, Evangelos,Matsatsinis, Nikolaos Pdf

Optimization and evaluation are essential to the operations of several sectors such as the healthcare sector and the agriculture industry. Improvement of optimizations and evaluation are imperative for industry success and ensures that better services are provided to global consumers across sectors. Interdisciplinary Perspectives on Operations Management and Service Evaluation is a critical scholarly publication that focuses on operations management across several sectors and assessment strategies for the improvement of these industries. Featuring a range of topics such as fuzzy logic, ecosystem services, and metaheuristics, this book is ideal for managers, service evaluators, marketers, academicians, business professionals, researchers, practitioners, and students.

Author : Narayan Chandra Jana,Anju Singh,R. B. Singh
Publisher : Springer Nature
Page : 549 pages
File Size : 44,7 Mb
Release : 2022-01-18
Category : Social Science
ISBN : 9789811673108

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Livelihood Enhancement Through Agriculture, Tourism and Health by Narayan Chandra Jana,Anju Singh,R. B. Singh Pdf

Agriculture is the backbone of our economic system. It provides not only food and raw material but also employment opportunities to a very large number of people. Higher atmospheric temperature has an impact on crop yields while the changes in rainfall could affect both crop quality and quantity. Climate change, therefore, could increase the prices of major crops in some regions. For the most vulnerable people, lower agricultural output means lower income. In addition, climate change is expected to increase the risk of illness and death from extreme heat and poor air quality. Recent evidence is the COVID-19 pandemic. Furthermore, climate change also affects the occurrence of other infectious diseases. A number of well-known diseases are climate-sensitive - malaria, dengue fever, and cholera among others. Tourism is considered as an industry and alternative contributor to a nation’s income. It can generate employment opportunities and boost up the economy. This book, consisting of 26 chapters, focuses on the issues of agriculture, tourism and health for livelihood enhancement. It is essential to discuss these diverse issues in the field of geography as it encompasses interdisciplinary topics. The range of concerns at the national, regional and local levels is not confined to geography only but also involves other disciplines as well. Therefore, this book is a valuable source for scientists and researchers in allied fields such as livelihood, agriculture, land use, tourism management, health care and tribal studies. Furthermore, this book can be of immense help to the researchers, planners and decision makers engaged in solving problems in these areas in developing countries and beyond.

Author : Harvey J. Greenberg,Gautam Mitra,Freerk A. Lootsma,Marcel J. Rijckaert,Hans J. Zimmermann
Publisher : Springer Science & Business Media
Page : 740 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642835551

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Mathematical Models for Decision Support by Harvey J. Greenberg,Gautam Mitra,Freerk A. Lootsma,Marcel J. Rijckaert,Hans J. Zimmermann Pdf

It is quite an onerous task to edit the proceedings of a two week long institute with learned contributors from many parts of the world. All the same, the editorial team has found the process of refereeing and reviewing the contributions worthwhile and completing the volume has proven to be a satisfying task. In setting up the institute we had considered models and methods taken from a number of different disciplines. As a result the whole institute - preparing for it, attending it and editing the proceedings - proved to be an intense learning experience for us. Here I speak on behalf of the committee and the editorial team. By the time the institute took place, the papers were delivered and the delegates exchanged their views, the structure of the topics covered and their relative positioning appeared in a different light. In editing the volume I felt compelled to introduce a new structure in grouping the papers. The contents of this volume are organised in eight main sections set out below: 1 . Abstracts. 2. Review Paper. 3. Models with Multiple Criteria and Single or Multiple Decision Makers. 4. Use of Optimisation Models as Decision Support Tools. 5. Role of Information Systems in Decision Making: Database and Model Management Issues. 6. Methods of Artificial Intelligence in Decision Making: Intelligent Knowledge Based Systems. 7. Representation of Uncertainty in Mathematical Models and Knowledge Based Systems. 8. Mathematical Basis for Constructing Models and Model Validation.

Author : Marina L. Gavrilova
Publisher : Springer Science & Business Media
Page : 1268 pages
File Size : 55,5 Mb
Release : 2006
Category : Computational complexity
ISBN : 9783540340751

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Computational Science and Its Applications - ICCSA 2006 by Marina L. Gavrilova Pdf

Author : Michael Doumpos,Evangelos Grigoroudis
Publisher : John Wiley & Sons
Page : 328 pages
File Size : 50,6 Mb
Release : 2013-02-01
Category : Business & Economics
ISBN : 9781118522493

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Multicriteria Decision Aid and Artificial Intelligence by Michael Doumpos,Evangelos Grigoroudis Pdf

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.

Author : Zaiwu Gong,Yi Lin,Tianxiang Yao
Publisher : Springer
Page : 219 pages
File Size : 47,7 Mb
Release : 2012-08-23
Category : Technology & Engineering
ISBN : 9783642284489

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Uncertain Fuzzy Preference Relations and Their Applications by Zaiwu Gong,Yi Lin,Tianxiang Yao Pdf

On the basis of fuzzy sets and some of their relevant generalizations, this book systematically presents the fundamental principles and applications of group decision making under different scenarios of preference relations. By using intuitionistic knowledge as the field of discourse, this work investigates by utilizing innovative research means the fundamental principles and methods of group decision making with various different intuitionistic preferences: Mathematical reasoning is employed to study the consistency of group decision making; Methods of fusing information are applied to look at the aggregation of multiple preferences; Techniques of soft computing and optimization are utilized to search for satisfactory decision alternatives. Each chapter follows the following structurally clear format of presentation: literature review, development of basic theory, verification and reasoning of principles , construction of models and computational schemes, and numerical examples, which cover such areas as technology, enterprise competitiveness, selection of airlines, experts decision making in weather-sensitive enterprises, etc. In terms of theoretical principles, this book can be used as a reference for researchers in the areas of management science, information science, systems engineering, operations research, and other relevant fields. It can also be employed as textbook for upper level undergraduate students and graduate students. In terms of applications, this book will be a good companion for all those decision makers in government, business, and technology areas.