Chapter 1 Introduction

Chapter 2 The partial order by inclusion of the principal classes of dissimilarity on a finite set, and some of their basic properties

Chapter 3 Similarity functions

Chapter 4 An order-theoretic unification and generalisation of certain fundamental bijections in mathematical classification. I

Chapter 5 An order-theoretic unification and generalisation of certain fundamental bijections in mathematical classification. II

Chapter 6 The residuation model for the ordinal construction of dissimilarities and other valued objects

Chapter 7 On exchangeability-based equivalence relations induced by strongly Robinson and, in particular, by quadripolar Robinson dissimilarity matrices