直覺模糊信息集成理論及應(yīng)用

出版時間:2012-1  出版社:科學(xué)出版社  作者:Zeshui XU,Xiaoqiang Cai 著  頁數(shù):309  

內(nèi)容概要

  《直覺模糊信息集成理論及應(yīng)用(英文版)》將主要對近年來國內(nèi)外學(xué)者特別是作者本人在直覺模糊信息的集成和處理方式,以及相關(guān)的直覺模糊決策模型和方法等最新研究成果進(jìn)行深入系統(tǒng)的介紹?!吨庇X模糊信息集成理論及應(yīng)用(英文版)》共分為七章。可作為模糊數(shù)學(xué)、運籌學(xué)、信息科學(xué)和管理科學(xué)與工程等領(lǐng)域的研究人員和工程技術(shù)人員的參考書,以及高等院校有關(guān)專業(yè)高年級本科生和研究牛的教學(xué)用書。

書籍目錄

Chapter 1 Intuitionistic Fuzzy Information Aggregation
1.1Intuitionistic 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 Intrutionistic Fuzzy Aggregation Operators Based on Choquet
Integral
1.7Induced 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 lnterval-Valued Intuitionistic Fuzzy
Numbers
2.3 Interval-Valued Intuitionistic Fuzzy Aggregation
Operators
2.4 Interval-Valued Intuitiorustic 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
Intuitionistic Preference Relations
4.11 Consistency Analysis on Group Decision Making with
Interval-Valued Intuitionistic 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 Group
Decision 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

編輯推薦

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

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