Deriving Priorities From Incomplete Fuzzy Reciprocal Preference Relations

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Deriving Priorities from Incomplete Fuzzy Reciprocal Preference Relations

Yejun Xu
Deriving Priorities from Incomplete Fuzzy Reciprocal Preference Relations Book PDF

Author : Yejun Xu
Publisher : Springer Nature
Page : 182 pages
File Size : 46,6 Mb
Release : 2023-07-21
Category : Computers
ISBN : 9789819931699

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Deriving Priorities from Incomplete Fuzzy Reciprocal Preference Relations by Yejun Xu Pdf

As we know, multiplicative preference relations (or called pairwise comparisons in AHP) were proposed by Dr. Thomas L Saaty. One important work is to derive its priority from pairwise comparisons. It has been proposed many methods to derive priority for multiplicative preference relation. On the basis of fuzzy sets, the fuzzy reciprocal preference relation is proposed and is extended to the incomplete contexts. However, how to derive the priorities from incomplete fuzzy reciprocal preference relations is an interesting and challenging work. This book systematically presents the theories and methodologies for deriving priorities from incomplete fuzzy reciprocal preference relations. This book can be divided into three parts. In the first part, this book introduces the basic concepts of fuzzy reciprocal preference relations and incomplete fuzzy reciprocal preference relations. Then, two consistencies of complete fuzzy reciprocal preference relations are introduced: additive consistency and multiplicative consistency. Then, the relationships between the fuzzy reciprocal elements and the weights are showed. Afterward, in the second part, different priority methods are presented. The inconsistency repairing procedures are also proposed. Last, the priority method for incomplete hesitant fuzzy reciprocal preference relations is presented. 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 a textbook for upper-level undergraduate students and graduate students.

Deriving Priorities from Incomplete Fuzzy Reciprocal Preference Relations

Yejun Xu
Deriving Priorities from Incomplete Fuzzy Reciprocal Preference Relations Book PDF

Author : Yejun Xu
Publisher : Unknown
Page : 0 pages
File Size : 43,8 Mb
Release : 2023
Category : Electronic
ISBN : 9819931711

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Deriving Priorities from Incomplete Fuzzy Reciprocal Preference Relations by Yejun Xu Pdf

As we know, multiplicative preference relations (or called pairwise comparisons in AHP) were proposed by Dr. Thomas L Saaty. One important work is to derive its priority from pairwise comparisons. It has been proposed many methods to derive priority for multiplicative preference relation. On the basis of fuzzy sets, the fuzzy reciprocal preference relation is proposed and is extended to the incomplete contexts. However, how to derive the priorities from incomplete fuzzy reciprocal preference relations is an interesting and challenging work. This book systematically presents the theories and methodologies for deriving priorities from incomplete fuzzy reciprocal preference relations. This book can be divided into three parts. In the first part, this book introduces the basic concepts of fuzzy reciprocal preference relations and incomplete fuzzy reciprocal preference relations. Then, two consistencies of complete fuzzy reciprocal preference relations are introduced: additive consistency and multiplicative consistency. Then, the relationships between the fuzzy reciprocal elements and the weights are showed. Afterward, in the second part, different priority methods are presented. The inconsistency repairing procedures are also proposed. Last, the priority method for incomplete hesitant fuzzy reciprocal preference relations is presented. 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 a textbook for upper-level undergraduate students and graduate students.

Pairwise Comparison Matrices and their Fuzzy Extension

Jana Krejčí
Pairwise Comparison Matrices and their Fuzzy Extension Book PDF

Author : Jana Krejčí
Publisher : Springer
Page : 273 pages
File Size : 44,9 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.

Decision Making and Optimization

Martin Gavalec,Jaroslav Ramík,Karel Zimmermann
Decision Making and Optimization Book PDF

Author : Martin Gavalec,Jaroslav Ramík,Karel Zimmermann
Publisher : Springer
Page : 225 pages
File Size : 50,5 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.

Pairwise Comparisons Method

Jaroslav Ramík
Pairwise Comparisons Method Book PDF

Author : Jaroslav Ramík
Publisher : Springer Nature
Page : 240 pages
File Size : 44,8 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.

Decision Making Theories and Methods Based on Interval-Valued Intuitionistic Fuzzy Sets

Shuping Wan,Jiuying Dong
Decision Making Theories and Methods Based on Interval Valued Intuitionistic Fuzzy Sets Book PDF

Author : Shuping Wan,Jiuying Dong
Publisher : Springer Nature
Page : 326 pages
File Size : 50,7 Mb
Release : 2020-02-03
Category : Technology & Engineering
ISBN : 9789811515217

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Decision Making Theories and Methods Based on Interval-Valued Intuitionistic Fuzzy Sets by Shuping Wan,Jiuying Dong Pdf

This is the first book to provide a comprehensive and systematic introduction to the ranking methods for interval-valued intuitionistic fuzzy sets, multi-criteria decision-making methods with interval-valued intuitionistic fuzzy sets, and group decision-making methods with interval-valued intuitionistic fuzzy preference relations. Including numerous application examples and illustrations with tables and figures and presenting the authors’ latest research developments, it is a valuable resource for researchers and professionals in the fields of fuzzy mathematics, operations research, information science, management science and decision analysis.

Developments Of Artificial Intelligence Technologies In Computation And Robotics - Proceedings Of The 14th International Flins Conference (Flins 2020)

Zhong Li,Chunrong Yuan,Jie Lu,Etienne E Kerre
Developments Of Artificial Intelligence Technologies In Computation And Robotics Proceedings Of The 14th International Flins Conference Flins 2020 Book PDF

Author : Zhong Li,Chunrong Yuan,Jie Lu,Etienne E Kerre
Publisher : World Scientific
Page : 1588 pages
File Size : 40,7 Mb
Release : 2020-08-04
Category : Technology & Engineering
ISBN : 9789811223341

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Developments Of Artificial Intelligence Technologies In Computation And Robotics - Proceedings Of The 14th International Flins Conference (Flins 2020) by Zhong Li,Chunrong Yuan,Jie Lu,Etienne E Kerre Pdf

FLINS, an acronym introduced in 1994 and originally for Fuzzy Logic and Intelligent Technologies in Nuclear Science, is now extended into a well-established international research forum to advance the foundations and applications of computational intelligence for applied research in general and for complex engineering and decision support systems.The principal mission of FLINS is bridging the gap between machine intelligence and real complex systems via joint research between universities and international research institutions, encouraging interdisciplinary research and bringing multidiscipline researchers together.FLINS 2020 is the fourteenth in a series of conferences on computational intelligence systems.

Intuitionistic Preference Modeling and Interactive Decision Making

Zeshui Xu
Intuitionistic Preference Modeling and Interactive Decision Making Book PDF

Author : Zeshui Xu
Publisher : Springer
Page : 233 pages
File Size : 42,8 Mb
Release : 2013-08-30
Category : Business & Economics
ISBN : 9783642284038

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Intuitionistic Preference Modeling and Interactive Decision Making by Zeshui Xu Pdf

This book offers an in-depth and comprehensive introduction to the priority methods of intuitionistic preference relations, the consistency and consensus improving procedures for intuitionistic preference relations, the approaches to group decision making based on intuitionistic preference relations, the approaches and models for interactive decision making with intuitionistic fuzzy information, and the extended results in interval-valued intuitionistic fuzzy environments.

Linguistic Decision Making

Yucheng Dong,Jiuping Xu
Linguistic Decision Making Book PDF

Author : Yucheng Dong,Jiuping Xu
Publisher : Springer
Page : 209 pages
File Size : 43,6 Mb
Release : 2018-12-11
Category : Language Arts & Disciplines
ISBN : 9789811329166

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Linguistic Decision Making by Yucheng Dong,Jiuping Xu Pdf

This book proposes a novel CWW model to personalize individual semantics in linguistic decision making, based on two new concepts: numerical scale and consistency-driven methodology. The numerical scale model provides a unified framework to connect different linguistic symbolic computational models for CWW, and the consistency-driven methodology customizes individuals’ semantics to support linguistic group decision making by setting personalized numerical scales. The book is a valuable resource for researchers and postgraduates who are interested in CWW in linguistic decision making.

New Trends in Intelligent Software Methodologies, Tools and Techniques

H. Fujita,A. Selamat,S. Omatu
New Trends in Intelligent Software Methodologies Tools and Techniques Book PDF

Author : H. Fujita,A. Selamat,S. Omatu
Publisher : IOS Press
Page : 852 pages
File Size : 45,8 Mb
Release : 2017-09-07
Category : Computers
ISBN : 9781614998006

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New Trends in Intelligent Software Methodologies, Tools and Techniques by H. Fujita,A. Selamat,S. Omatu Pdf

Software is an essential enabler for science and the new economy. It creates new markets and directions for a more reliable, flexible and robust society and empowers the exploration of our world in ever more depth, but it often falls short of our expectations. Current software methodologies, tools, and techniques are still neither robust nor reliable enough for the constantly evolving market, and many promising approaches have so far failed to deliver the solutions required. This book presents the keynote ‘Engineering Cyber-Physical Systems’ and 64 peer-reviewed papers from the 16th International Conference on New Trends in Intelligent Software Methodology Tools, and Techniques, (SoMeT_17), held in Kitakyushu, Japan, in September 2017, which brought together researchers and practitioners to share original research results and practical development experience in software science and related new technologies. The aim of the SoMeT conferences is to capture the essence of the new state-of-the-art in software science and its supporting technology and to identify the challenges such technology will have to master. The book explores new trends and theories which illuminate the direction of developments in this field, and will be of interest to anyone whose work involves software science and its integration into tomorrow’s global information society.

Triangular Fuzzy Neutrosophic Preference Relations and Their Application in Enterprise Resource Planning Software Selection

Fanyong Meng,Na Wang,Yanwei Xu
Triangular Fuzzy Neutrosophic Preference Relations and Their Application in Enterprise Resource Planning Software Selection Book PDF

Author : Fanyong Meng,Na Wang,Yanwei Xu
Publisher : Infinite Study
Page : 36 pages
File Size : 55,9 Mb
Release : 2024-05-05
Category : Mathematics
ISBN : 8210379456XXX

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Triangular Fuzzy Neutrosophic Preference Relations and Their Application in Enterprise Resource Planning Software Selection by Fanyong Meng,Na Wang,Yanwei Xu Pdf

Enterprise resource planning (ERP) system selection is one of the most important topics in an ERP implementation program that ensures the success of the system. Because of the inherent complexity of ERP systems, it is difficult and time consuming for the organization to select the suitable ERP software.

Proceedings of the Fifth International Forum on Decision Sciences

Xiang Li,Xiaofeng Xu
Proceedings of the Fifth International Forum on Decision Sciences Book PDF

Author : Xiang Li,Xiaofeng Xu
Publisher : Springer
Page : 319 pages
File Size : 40,8 Mb
Release : 2018-05-11
Category : Business & Economics
ISBN : 9789811078170

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Proceedings of the Fifth International Forum on Decision Sciences by Xiang Li,Xiaofeng Xu Pdf

The proceedings volume consists of academic papers on decision-making under uncertainty, smart decision, stochastic optimization, management simulation and its applications. It presents some compelling and valuable results on the cutting-edge modeling methods and the practical case studies in the operations management process for power, transportation, and logistics companies.

Consensual Processes

Enrique Herrera-Viedma,José Luis García-Lapresta,Janusz Kacprzyk,Mario Fedrizzi,Hannu Nurmi,Sławomir Zadrożny
Consensual Processes Book PDF

Author : Enrique Herrera-Viedma,José Luis García-Lapresta,Janusz Kacprzyk,Mario Fedrizzi,Hannu Nurmi,Sławomir Zadrożny
Publisher : Springer
Page : 430 pages
File Size : 50,5 Mb
Release : 2011-06-29
Category : Technology & Engineering
ISBN : 9783642205330

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Consensual Processes by Enrique Herrera-Viedma,José Luis García-Lapresta,Janusz Kacprzyk,Mario Fedrizzi,Hannu Nurmi,Sławomir Zadrożny Pdf

The word consensus has been frequently used for centuries, perhaps millenia. People have always deemed it important that decisions having a long lasting impact on groups, countries or even civilizations be arrived at in a consensual manner. Undoubtedly the complexity of modern world in all its social, technological, economic and cultural dimensions has created new environments where consensus is regarded desirable. Consensus typically denotes a state of agreement prevailing in a group of agents, human or software. In the strict sense of the term, consensus means that the agreement be unanimous. Since such a state is often unreachable or even unnecessary, other less demanding consensus-related notions have been introduced. These typically involve some graded, partial or imprecise concepts. The contributions to this volume define and utilize such less demanding - and thus at the same time more general - notions of consensus. However, consensus can also refer to a process whereby the state of agreement is reached. Again this state can be something less stringent than a complete unanimity of all agents regarding all options. The process may involve modifications, resolutions and /or mitigations of the views or inputs of individuals or software agents in order to achieve the state of consensus understood in the more general sense. The consensus reaching processes call for some soft computational approaches, methods and techniques, notably fuzzy and possibilistic ones. These are needed to accommodate the imprecision in the very meaning of some basic concepts utilized in the definition of consensus as a state of agreement and as a process whereby this state is to be reached. The overall aim of this volume is to provide a comprehensive overview and analysis of the issues related to consensus states and consensual processes.

Uncertain Fuzzy Preference Relations and Their Applications

Zaiwu Gong,Yi Lin,Tianxiang Yao
Uncertain Fuzzy Preference Relations and Their Applications Book PDF

Author : Zaiwu Gong,Yi Lin,Tianxiang Yao
Publisher : Springer
Page : 210 pages
File Size : 42,8 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.

Fuzzy Preference Modelling and Multicriteria Decision Support

J.C. Fodor,M.R. Roubens
Fuzzy Preference Modelling and Multicriteria Decision Support Book PDF

Author : J.C. Fodor,M.R. Roubens
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 54,9 Mb
Release : 1994-10-31
Category : Business & Economics
ISBN : 0792331168

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Fuzzy Preference Modelling and Multicriteria Decision Support by J.C. Fodor,M.R. Roubens Pdf

This book provides in-depth coverage of the most important results about fuzzy logic including negations, conjunctions, disjunctions, implications and gives the interrelations between those different connectives. The work brings together multiple results about valued binary relations satisfying diverse transitivity-type conditions. The authors propose the first sound introduction to valued preference modelling through the systematic use of fuzzy set theory and functional equations and derive the possible foundations for multicriteria decision aid using aggregation, ranking and choice procedures on the basis of axiomatic results. The text presents a unified view of various multicriteria decision making tools that have been independently derived in the past, dealing with pairwise comparisons. The monograph is mathematically oriented but the results will be of the greatest interest for engineers and economists who design and implement decision support systems in practice. It is also supplied with a sufficient number of examples to make it attractive to nonspecialists.