17 12 Gray Relational Analysis 12.1 Introduction 12.2 Gray System Theory: The Foundation and Basic Principles 12.3 Gray Relational Modeling 12.4 Gray Theory in Relation to MADM 12.5 Conclusion References
18 A Weight Assignment Approaches Subjective Approach: Weighted Least Squares Objective Approach: Multiobjective Programming Model References
19 B A Benchmark Example and a Comparison between Objective‐ and Subjective‐Based MADM Methods References
20 Index
List of Tables
1 Chapter 1Table 1.1 Comparison of MODM and MADM approaches.Table 1.2 A chronologic overview of the most influential MADM methods.
2 Chapter 3Table 3.1 A typical pairwise comparison scale for the AHP method.Table 3.2 The random index value for matrices of different orders.
3 Chapter 4Table 4.1 The fundamental scale for pairwise comparisons.Table 4.2 The random index value for pairwise comparison matrices of different orders. Source: Modified from Tzeng and Huang (2011).
4 Chapter 5Table 5.1 A typical pairwise comparison scale for the BWM. Source: Saaty (1977, 1980) and Rezaei et al. (2015).Table 5.2 The inconsistency index (ξ*) of 1–9 scale.
5 Chapter 8Table 8.1 The guideline for the exploitation stage of ELECTRE I.
6 Chapter 9Table 9.1 The recommended preference functions for the family of PROMETHEE methods.Table 9.2 The definition of the parameters used in the tuning of the PROMETHEE family.Table 9.3 The types of conditions for pairs of alternatives in the family of PROMETHEE methods.Table 9.4 Conditional assessments used in the PROMETHEE I method.Table 9.5 Conditional assessments used in the PROMETHEE II method.Table 9.6 Conditional assessments used in the PROMETHEE III method.
7 Chapter 10Table 10.1 The recommended types of modified preference functions for the SIR method.Table 10.2 The definition of the parameters used in the tuning of the SIR method.Table 10.3 Conditional assessments used in the SIR method.
8 Appendix BTable B.1 The separation measures for the set of alternatives.Table B.2 The relative closeness to the ideal solutions and the ranking of the alternatives according to the TOPSIS method.Table B.3 The aggregated scores and ranking of the alternatives according to the AHP method.
List of Illustrations
1 Chapter 3Figure 3.1 A scheme of hierarchical structure of an MADM problem.
2 Chapter 4Figure 4.1 The forms of connection in the structure of a network, (a) linear connection, (b) cyclic connection, and (c) loop connection.Figure 4.2 The forms of components in the structure of a network, (a) source component, (b) sink component, and (c) intermediate component. Source: Modified from Saaty (1996)
3 Chapter 7Figure 7.1 The general scheme of an MADM problem with two positive criteria c1 and c2
Guide
1 Cover
2 Contents
Pages
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