Decision and Game Theory in Management With Intuitionistic Fuzzy Sets, Deng-Feng Li

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