Chapter 1 Intuitionistic Fuzzy Set Theories
1.1 Introduction
1.2 Intuitionistic Fuzzy Sets and Operations
1.3 Intuitionistic Fuzzy Set Distances and Similarity Degrees
1.3.1 Definition of Similarity Degrees between Intuitionistic Fuzzy Sets
1.3.2 Definition of Distances between Intuitionistic Fuzzy Sets
1.4 Representation Theorem of Intuitionistic Fuzzy Sets
1.5 Extension Principle of Intuitionistic Fuzzy Sets and Operations
1.5.1 Extension Principle of Intuitionistic Fuzzy Sets
1.5.2 Operations over Intuitionistic Fuzzy Sets
1.6 Definitions of Intuitionistic Fuzzy Numbers and Algebraic Operations
1.6.1 Trapezoidal Intuitionistic Fuzzy Numbers and Algebraic Operations
1.6.2 Triangular Intuitionistic Fuzzy Numbers and Algebraic Operations
Chapter 2 Intuitionistic Fuzzy Set Aggregation Operators and Multiattribute Decision Making Methods
2.1 Introduction
2.2 Intuitionistic Fuzzy Set Aggregation Operators and Properties
2.2.1 Intuitionistic Fuzzy Set Weighted Aggregation Operators
2.2.2 Intuitionistic Fuzzy Set Hybrid Weighted Aggregation Operators
2.2.3 Intuitionistic Fuzzy Set Generalized Hybrid Weighted Aggregation Operators
2.3 Intuitionistic Fuzzy Set Generalized Hybrid Weighted Aggregation Method for Intuitionistic Fuzzy Set Multiattribute Decision Making
2.3.1 Formal Representation of Intuitionistic Fuzzy Set Multiattribute Decision Making Problems
2.3.2 Intuitionistic Fuzzy Set Multiattribute Decision Making Process Based on Intuitionistic Fuzzy Set Generalized Hybrid Weighted Aggregation Operators and Real Example Analysis
Chapter 3 Intuitionistic Fuzzy Set Multiattribute Decision Making Methods
3.1 Introduction
3.2 Linear Weighted Average Method for Multiattribute Decision Making with Both Weights and Attribute Ratings Expressed by Intuitionistic Fuzzy Sets
3.2.1 Linear Weighted Average Model of Intuitionistic Fuzzy Set Multiattribute Decision Making
3.2.2 Sensitivity Analysis of Linear Weighted Average Method for Intuitionistic Fuzzy Set Multiattribute Decision Making
3.2.3 Process of Linear Weighted Average Method for Intuitionistic Fuzzy Set Multiattribute Decision Making and Real Example Analysis
3.3 TOPSIS for Intuitionistic Fuzzy Set Multiattribute Decision Making with Both Ideal Solutions and Weights Known
3.3.1 Basic Principle of TOPSIS
3.3.2 Intuitionistic Fuzzy Set TOPSIS Principle and Real Example Analysis
3.4 Optimum Seeking Method for Intuitionistic Fuzzy Set Multiattribute Decision Making with Both Ideal Solutions and Weights Known
3.4.1 Optimum Seeking Principle for Intuitionistic Fuzzy Set Multiattribute Decision Making
3.4.2 Process of Optimum Seeking Method for Intuitionistic Fuzzy Set Multiattribute Decision Making and Real Example Analysis
3.5 Linear Programming Method for Multiattribute Decision Making with Both Weights and Attribute Ratings Expressed by Intuitionistic Fuzzy Sets
3.5.1 Allocation Method of Hesitancy Degrees
3.5.2 Linear Programming Models and Method for Computing Intuitionistic Fuzzy Set Comprehensive Evaluations
3.5.3 Relative Closeness Degree Method of Intuitionistic Fuzzy Set Comprehensive Evaluations and Real Example Analysis
3.6 LINMAP for Intuitionistic Fuzzy Set Multiattribute Decision Making with Both Ideal Solutions and Weights Unknown
3.6.1 Determination Methods of Membership and Nonmembership Degrees of Intuitionistic Fuzzy Sets
3.6.2 Consistency and Inconsistency Measure Methods
3.6.3 LINMAP Models for Intuitionistic Fuzzy Set Multiattribute Decision Making
3.6.4 LINMAP Process for Intuitionistic Fuzzy Set Multiattribute Decision Making and Real Example Analysis
3.7 Fraction Mathematical Programming Method for Intuitionistic Fuzzy Set Multiattribute Decision Making with Unknown Weights
3.7.1
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Deng-Feng Li was born in 1965. He received both his B.Sc. and M.Sc. degrees in Applied Mathematics from the National University of Defense Technology, Changsha, China, in 1987 and 1990, respectively, and completed his Ph.D. in System Science and Optimization at the Dalian University of Technology, Dalian, China, in 1995. From 2003 to 2004, he was a visiting scholar at the School of Management, University of Manchester Institute of Science and Technology, UK.
He is currently a "Minjiang Scholar" Distinguished Professor and an Assistant Dean of the School of Management, Fuzhou University, China. He has published more than 200 international journal papers and four monographs and is the coauthor of one monograph and three textbooks. His current research interests include fuzzy decision analysis, group decision-making, fuzzy game theory, fuzzy sets and system analysis, fuzzy optimization and differential games in economic management. He has been recognized with eighteen scientific achievement awards.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783642407116
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 468 pp. Englisch. N° de réf. du vendeur 9783642407116
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Buch. Etat : Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 468 pp. Englisch. N° de réf. du vendeur 9783642407116
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