Introduction to the analytic hierarchy process [electronic resource] / Matteo Brunelli.

Includes bibliographical references and index.

Preface Contents Chapter 1 Introduction and Fundamentals 1.1Fundamentals 1.2Applications 1.3Criticisms and Open Debates Chapter 2 Priority vector and consistency 2.1Priority vector 2.1.1Eigenvector metho 2.1.2Geometric mean method 2.1.3Other methods and discussion 2.2Consistency 2.2.1Consistency index and consistency ratio 2.2.2Index of determinants 2.2.3Geometric consistency index 2.2.4Harmonic consistency index 2.2.5Ambiguity index 2.2.6Other indices and discussion Chapter 3 Missing comparisons and group decisions 3.1Missing comparisons 3.1.1Optimization of the coefficient c33.1.2Revised geometric mean method 3.1.3Other methods and discussion 3.2Group decisions 3.2.1Integrated methods Chapter 4 Extensions 4.1Equivalent representations 4.1.1Additive pairwise comparison matrices 4.1.2Reciprocal relations 4.1.3Group isomorphisms between equivalent representations 4.2Interval AHP 4.3Fuzzy AHP 4.3.1Fuzzy AHP with triangular fuzzy numbers 4.3.2Is the fuzzy AHP valid? Chapter 5 Conclusions Appendix A Eigenvalues and eigenvectors Appendix B Solutions References Index

The Analytic Hierarchy Process (AHP) has been one of the foremost mathematical methods for decision making with multiple criteria and has been widely studied in the operations research literature as well as applied to solve countless real-world problems. This book is meant to introduce and strengthen the readers' knowledge of the AHP, no matter how familiar they may be with the topic. This book provides a concise, yet self-contained, introduction to the AHP that uses a novel and more pedagogical approach. It begins with an introduction to the principles of the AHP, covering the critical poin.

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