基于语言信息的决策理论与方法

Chapter 1 Linguistic Evaluation Scales

1.1 Additive Linguistic Evaluation Scales

1.2 Multiplicative Linguistic Evaluation Scales

References

Chapter 2 Linguistic Aggregation Operators

2.1 Linguistic Aggregation Operators Based on Linear Ordering

2.2 Linguistic Aggregation Operators Based on Extension Principle and Symbols

2.3 Linguistic Aggregation Operators Based on Linguistic 2-tuples

2.4 Linguistic Aggregation Operators Computing with Words Directly

2.4.1 Linguistic Averaging Operator

2.4.2 Linguistic Geometric Operators

References

Chapter 3 Linguistic Preference Relations

3.1 Additive Linguistic Preference Relations

3.2 Incomplete Additive Linguistic Preference Relations

3.3 Dynamic Additive Linguistic Preference Relations

3.4 Multiplicative Linguistic Preference Relations

3.5 Incomplete Multiplicative Linguistic Preference Relations

3.6 Dynamic Multiplicative Linguistic Preference Relations

3.7 Uncertain Linguistic Preference Relations

3.7.1 Uncertain Additive Linguistic Preference Relations

3.7.2 Uncertain Multiplicative Linguistic Preference Relations

References

Chapter 4 Approaches to Linguistic Multi-Attribute Decision Making

4.1 Maximizing Deviation Procedure for Linguistic Multi-Attribute Decision Making

4.2 Ideal Point-Based Model for Linguistic Multi-Attribute Decision Making

4.3 Approaches Based on Uncertain Aggregation Operators to Linguistic Multi-attribute Decision Making

4.3.1 WULDC-OWA Operator-Based Approach

4.3.2 WULDC-OWG Operator-Based Approach

4.4 Goal Programming Model for Linguistic Multi-Attribute Decision Making

4.4.1 Goal Programming Model Based on Linguistic Labels

4.4.2 Goal Programming Model Based on Uncertain Linguistic Labels

4.5 Multi-Attribute Decision Making Based on Different Types of Linguistic Information

4.6 Interactive Approach to Linguistic Multi-Attribute Decision Making

4.7 Multi-Period Multi-Attribute Decision Making under Linguistic Assessments

4.7.1 Multi-Period Multi-Attribute Decision Making Method Based on LWA2 and DLWA Operators

4.7.2 Approach to Uncertain Multi-Period Multi-Attribute Decision Making Based on ULWA and UDLWA operators

4.7.3 Approach to Multi-Period Multi-Attribute Decision Making Based on LWG and DLWG Operators

4.7.4 Approach to Uncertain Multi-Period Multi-Attribute Decision Making Based on ULWG and UDLWG operators

References

Index

英文版《基于语言信息的决策理论与方法》共分为4章：第1章介绍语言决策的基础——语言评估标度。把语言评估标度分成两类：加性语言评估标度和积性语言评估标度，并侧重介绍非均匀加性语言评估标度和非均匀积性语言评估标度。第2章介绍语言信息的集成方式。主要对现有的语言信息集成算子进行全面系统的综述。第3章介绍语言判断矩阵、不确定语言判断矩阵、残缺语言判断矩阵、一致性语言判断矩阵、可接受语言判断矩阵等概念，以及它们的优良性质，并且详细介绍基于这些语言判断矩阵的一系列决策途径。第4章介绍属性权重不能完全确知且属性值为语言术语或不确定语言变量的多属性决策方法。本书由Zeshui Xu著。由于客观事物的复杂性以及人类思维的模糊性和不确定性，导致基于语言信息的决策问题广泛存在于社会、经济、医药、管理和军事等各个领域，如：人事考核、军事系统效能评估、网上拍卖、供应链管理、风险投资、医疗诊断等。因此，如何基于语言决策信息进行科学决策是一个有趣且重要的研究方向，近年来受到人们的高度关注。本书对决策理论与方法方面的最新研究成果（主要是2004年以来作者的研究成果）进行系统的介绍，包括：语言评估标度，语言集成算子，不确定语言集成算子，动态语言集成算子，语言判断矩阵、不确定语言判断矩阵和不完全语言判断矩阵的排序理论与方法，交互式语言多属性决策方法，语言多属性群决策方法，动态语言多属性决策方法，不确定语言多属性决策方法，及其在各种实际问题中的应用，如：供应链管理中的合作伙伴选择、人事考核、投资决策、军事系统效能动态评估、风险投资项目评估、企业技术革新能力评估等。