Intuitionistic Fuzzy Information Intuitionistic Fuzzy Information Aggregation:Theory and Applications - Mathematics Monograph Series 20

直觉模糊信息集成理论及应用
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Author: ZeshuiXu XiaoqiangCai
Language: English
ISBN/ISSN: 9787030333216
Published on: 2012-01
Hardcover

Intuitionistic Fuzzy Information Aggregation: Theory and Applications, the first book to provide a thorough and systematic introduction to the intuitionistic fuzzy aggregation methods, the correlation, distance and similarity measures of intuitionistic fuzzy sets, and various decision-making models and approaches based on the above-mentioned information processing tools. Through numerous practical examples and illustrations with tables and figures, it offers researchers and professionals in the field of fuzzy mathematics, information fusion and decision analysis, the most recent research findings developed by the authors.



《直觉模糊信息集成理论及应用(英文版)》
chapter 1 intuitionistic fuzzy information aggregation
1.1 intuitionistic fuzzy sets
1.2 operational laws of intuitionistic fuzzy numbers
1.3 intuitionistic fuzzy aggregation operators
1.4 intuitionistic fuzzy bonferroni means
1.5 generalized intuitionistic fuzzy aggregation operators
1.6 intuitionistic fuzzy aggregation operators based on choquet integral
1.7 induced generalized intuitionistic fuzzy aggregation operators
references
chapter 2 interval-valued intuitionistic fuzzy information aggregation
2.1 interval-valued intuitionistic fuzzy sets
2.2 operational laws of interval-valued intuitionistic fuzzy numbers
2.3 interval-valued intuitionistic fuzzy aggregation operators
2.4 interval-valued intuitionistic fuzzy bonferroni means
2.5 generalized interval-valued intuitionistic fuzzy aggregation operators
2.6 interval-valued intuitionistic fuzzy aggregation operators based on choquet integral
2.7 induced generalized interval-valued intuitionistic fuzzy aggregation operators
references
chapter 3 correlation, distance and similarity measures of intuitionistic fuzzy sets

.3.1 correlation measures of intuitionistic fuzzy sets
3.2 distance and similarity measures of intuitionistic fuzzy sets
3.3 distance and similarity measures of interval-valued intuitionistic fuzzy sets
3.3.1 distance and similarity measures based on geometric distance models
3.3.2 distance and similarity measures based on set-theoretic approaches
references
chapter 4 decision making models and approaches based on intuitionistic preference relations
4.1 intuitionistic preference relations
4.2 group decision making based on intuitionistic preference relations
4.3 incomplete intuitionistic preference relations
4.4 group decision making based on incomplete intuitionistic preference relations
4.5 interval-valued intuitionistic preference relations
4.6 group decision making based on interval-valued intuitionistic preference relations
4.7 group decision making based on incomplete interval-valued intuitionistic preference relations
4.8 multi-attribute decision making with intuitionistic fuzzy preference information on alternatives
4.8.1 consistent intuitionistic preference relations
4.8.2 linear programming models with intuitionistic fuzzy information
4.8.3 intuitionistic fuzzy decision making based on linear programming models
4.9 multi-attribute decision making based on various intuitionistic preference structures
4.9.1 multi-attribute decision making models based on intuitionistic preference relations
4.9.2 multi-attribute decision making models based on incomplete intuitionistic preference relations
4.9.3 multi-attribute decision making models based on different types of intuitionistic preference relations
4.10 consistency analysis on group decision making with intuitionisticpreference relations
4.11 consistency analysis on group decision making with interval-valuedintuitionistic preference relations
references
chapter 5 projection model-based approaches to intuitionistic fuzzy multi-attribute decision making
5.1 multi-attribute decision making with intuitionistic fuzzy information
5.2 multi-attribute decision making with interval-valued intuitionistic fuzzy information
references
chapter 6 dynamic intuitionistic fuzzy multi-attribute decision making
6.1 dynamic intuitionistic fuzzy weighted averaging operators
6.2 dynamic intuitionistic fuzzy multi-attribute decision making
6.3 uncertain dynamic intuitionistic fuzzy multi-attribute decision making
references
chapter 7 nonlinear optimization models for multi-attribute groupdecision making with intuitionistic fuzzy information
7.1 nonlinear optimization models for determining decision makers' weights
7.2 extended nonlinear optimization models in interval-valued intuitionistic fuzzy situations
7.3 numerical analysis
references
index


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