Decision Making Theories And Methods Based On Interval Valued Intuitionistic Fuzzy Sets
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Decision Making Theories And Methods Based On Interval Valued Intuitionistic Fuzzy Sets
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Author : Shuping Wan
language : en
Publisher: Springer Nature
Release Date : 2020-02-03
Decision Making Theories And Methods Based On Interval Valued Intuitionistic Fuzzy Sets written by Shuping Wan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-03 with Technology & Engineering categories.
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.
Decision And Game Theory In Management With Intuitionistic Fuzzy Sets
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Author : Deng-Feng Li
language : en
Publisher: Springer
Release Date : 2013-11-12
Decision And Game Theory In Management With Intuitionistic Fuzzy Sets written by Deng-Feng Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-12 with Technology & Engineering categories.
The focus of this book is on establishing theories and methods of both decision and game analysis in management using intuitionistic fuzzy sets. It proposes a series of innovative theories, models and methods such as the representation theorem and extension principle of intuitionistic fuzzy sets, ranking methods of intuitionistic fuzzy numbers, non-linear and linear programming methods for intuitionistic fuzzy multi-attribute decision making and (interval-valued) intuitionistic fuzzy matrix games. These theories and methods form the theory system of intuitionistic fuzzy decision making and games, which is not only remarkably different from those of the traditional, Bayes and/or fuzzy decision theory but can also provide an effective and efficient tool for solving complex management problems. Since there is a certain degree of inherent hesitancy in real-life management, which cannot always be described by the traditional mathematical methods and/or fuzzy set theory, this book offers an effective approach to using the intuitionistic fuzzy set expressed with membership and non-membership functions. This book is addressed to all those involved in theoretical research and practical applications from a variety of fields/disciplines: decision science, game theory, management science, fuzzy sets, operational research, applied mathematics, systems engineering, industrial engineering, economics, etc.
Multi Criteria Decision Making Via Intuitionistic Fuzzy Set
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Author : Pranjal Talukdar
language : en
Publisher:
Release Date : 2023-01-04
Multi Criteria Decision Making Via Intuitionistic Fuzzy Set written by Pranjal Talukdar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-04 with categories.
The characteristic function of a crisp set assigns a value either 1 or 0 to each object in a set and thereby distinguishesthe members and non-members of crisp set under consideration. The function can be generalized such that the values assigned to the elements of a set fall within a specific range from 0 to 1 and indicate the membership grade of these elements in the set in question. Larger values denote higher degree of set membership. Such function is called a membership function, and the set defined by it is known as fuzzy set. In short, it can be opinedthat the crisp set and logic divide the world of yes or no, true or false but nothing in between. On the other hand, fuzzy sets and logic deal with objects that are of degree with all possible grades between yes or no.Thus, fuzzy set represents the vague or ill-defined (not well-defined) concept like good, very good, poor, intelligent, large, and medium large etc., and hence, it can be extensively applied in a wide range of area. Zadeh developed this novel concept of fuzzy sets that created a new branch of Mathematics which is used tocharacterize the uncertainty.A lot of significant developments have been made by the researchers in the last five decades and applied it in a large variety of fields. It is observed that in fuzzy set theory (FST) the non-membership function is the complement of the membership function. But in many situations, complement of membership function may not reflect the exact non-membership grades of an element to a set. Later, Atanassov defined both the membership function and nonmembership function which also characterized some hesitation degree between them. This newly defined set is called Intuitionistic fuzzy set (IFS). As IFS can represents the incomplete/ ill-defined information in a more specific manner than FST, therefore, IFS become more popular among the researchers in uncertainty modeling problems. Furthermore, Atanassov and Gargov introduced the notion of Interval-valued intuitionistic fuzzy sets (IVIFSs) extending the concept IFS, in which, the membership and non-membership grades are represented by intervals. Starting from our many daily life situations up to very complex system; making decision is undoubtedly one of the most necessary activities of human being. It is a logical judgment process to identifying and choosing the right alternatives based on the preferences and values of the decision maker with respect to its criteria. In mathematical point of view, there should be some methodology and algorithm through which one can make a logical and proper decision. Recently, decision making processes have become popular in industries, in different managerial level of the concerned department of many organizations because of their global competitiveness, making good planning and to survive successfully in respective marketplace. Therefore, decision making plays a vital role especially in purchase department for reducing material costs, minimizing production time as well as improving the quality of product or service.
Intuitionistic Preference Modeling And Interactive Decision Making
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Author : Zeshui Xu
language : en
Publisher: Springer
Release Date : 2013-08-30
Intuitionistic Preference Modeling And Interactive Decision Making written by Zeshui Xu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-30 with Business & Economics categories.
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.
Interval Valued Intuitionistic Fuzzy Sets
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Author : Krassimir T. Atanassov
language : en
Publisher: Springer Nature
Release Date : 2019-09-21
Interval Valued Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-21 with Technology & Engineering categories.
The book offers a comprehensive survey of interval-valued intuitionistic fuzzy sets. It reports on cutting-edge research carried out by the founder of the intuitionistic fuzzy sets, Prof. Krassimir Atanassov, giving a special emphasis to the practical applications of this extension. A few interesting case studies, such as in the area of data mining, decision making and pattern recognition, among others, are discussed in detail. The book offers the first comprehensive guide on interval-valued intuitionistic fuzzy sets. By providing the readers with a thorough survey and important practical details, it is expected to support them in carrying out applied research and to encourage them to test the theory behind the sets for new advanced applications. The book is a valuable reference resource for graduate students and researchers alike.
Pythagorean Fuzzy Sets
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Author : Harish Garg
language : en
Publisher: Springer Nature
Release Date : 2021-07-22
Pythagorean Fuzzy Sets written by Harish Garg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-22 with Mathematics categories.
This book presents a collection of recent research on topics related to Pythagorean fuzzy set, dealing with dynamic and complex decision-making problems. It discusses a wide range of theoretical and practical information to the latest research on Pythagorean fuzzy sets, allowing readers to gain an extensive understanding of both fundamentals and applications. It aims at solving various decision-making problems such as medical diagnosis, pattern recognition, construction problems, technology selection, and more, under the Pythagorean fuzzy environment, making it of much value to students, researchers, and professionals associated with the field.
Soft Computing Theories And Applications
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Author : Rajesh Kumar
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Soft Computing Theories And Applications written by Rajesh Kumar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Technology & Engineering categories.
This book focuses on soft computing and how it can be applied to solve real-world problems arising in various domains, ranging from medicine and healthcare, to supply chain management, image processing, and cryptanalysis. It gathers high-quality papers presented at the International Conference on Soft Computing: Theories and Applications (SoCTA 2021), organized online. The book offers valuable insights into soft computing for teachers and researchers alike; the book will inspire further research in this dynamic field.
Hesitant Fuzzy Decision Making Methodologies And Applications
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Author : Huchang Liao
language : en
Publisher: Springer
Release Date : 2016-12-27
Hesitant Fuzzy Decision Making Methodologies And Applications written by Huchang Liao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-27 with Business & Economics categories.
This book offers a comprehensive and systematic introduction to the latest research on hesitant fuzzy decision-making theory. It includes six parts: the hesitant fuzzy set and its extensions, novel hesitant fuzzy measures, hesitant fuzzy hybrid weighted aggregation operators, hesitant fuzzy multiple-criteria decision-making with incomplete weights, hesitant fuzzy multiple criteria decision-making with complete weights information, and the hesitant fuzzy preference relation based decision-making theory. These methodologies are implemented in various fields such as decision-making, medical diagnosis, cluster analysis, service quality management, e-learning management and environmental management. A valuable resource for engineers, technicians, and researchers in the fields of fuzzy mathematics, operations research, information science, management science and engineering, it can also be used as a textbook for postgraduate and senior undergraduate students.
Large Scale Group Decision Making
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Author : Su-Min Yu
language : en
Publisher: Springer Nature
Release Date : 2022-01-03
Large Scale Group Decision Making written by Su-Min Yu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-03 with Business & Economics categories.
This book explores clustering operations in the context of social networks and consensus-reaching paths that take into account non-cooperative behaviors. This book focuses on the two key issues in large-scale group decision-making: clustering and consensus building. Clustering aims to reduce the dimension of a large group. Consensus reaching requires that the divergent individual opinions of the decision makers converge to the group opinion. This book emphasizes the similarity of opinions and social relationships as important measurement attributes of clustering, which makes it different from traditional clustering methods with single attribute to divide the original large group without requiring a combination of the above two attributes. The proposed consensus models focus on the treatment of non-cooperative behaviors in the consensus-reaching process and explores the influence of trust loss on the consensus-reaching process.The logic behind is as follows: firstly, a clustering algorithm is adopted to reduce the dimension of decision-makers, and then, based on the clusters’ opinions obtained, a consensus-reaching process is carried out to obtain a decision result acceptable to the majority of decision-makers. Graduates and researchers in the fields of management science, computer science, information management, engineering technology, etc., who are interested in large-scale group decision-making and consensus building are potential audience of this book. It helps readers to have a deeper and more comprehensive understanding of clustering analysis and consensus building in large-scale group decision-making.
Multi Criteria Decision Making Method Based On Similarity Measures Under Single Valued Neutrosophic Refined And Interval Neutrosophic Refined Environments
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Author : FARUK KARAASLAN
language : en
Publisher: Infinite Study
Release Date :
Multi Criteria Decision Making Method Based On Similarity Measures Under Single Valued Neutrosophic Refined And Interval Neutrosophic Refined Environments written by FARUK KARAASLAN and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this paper, we propose three similarity measure methods for single valued neutrosophic refined sets and interval neutrosophic refined sets based on Jaccard, Dice and Cosine similarity measures of single valued neutrosophic sets and interval neutrosophic sets.