Third volume in the three books Foundations of Measurement series.Table of ContentsPreface Acknowledgments 1. Overview2. Nonadditive representations3. Scale types4. Axiomatization5. Invariance and meaningfulnessReferences
Fondements de la MesureSéries
Cette série fondamentale explore les principes fondamentaux et les cadres mathématiques essentiels à la quantification des phénomènes qualitatifs. Elle offre un traitement cohérent et organisé de la théorie de la mesure, consolidant des décennies de recherches dispersées dans diverses disciplines. Explorant le développement, des représentations numériques de base aux concepts avancés tels que l'axiomatisation et l'invariance, elle propose une exploration rigoureuse de la manière dont nous capturons et comprenons formellement le monde.
Ordre de lecture recommandé
First volume in the three books Foundations of Measurement series.Table of contents:Preface1. Introduction2. Construction of numerical functions3. Extensive measurement4. Difference measurement5. Probability representations6. Additive conjoint measurement7. Polynomial conjoint measurement8. Conditional expected utility9. Measurement inequalities10. Dimensional analysis and numerical lawsAnswers and hints to selected exercisesReferences
Foundations of Measurement Volume II
Geometrical, Threshold, and Probabilistic Representations
- 512pages
- 18 heures de lecture
A classic series in the field of quantitative measurement, Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance. 1989 edition.
