Towards a General Theory of Classifications

• Main Authors: Parrochia, Daniel. (Author), Neuville, Pierre. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhũser, 2013.
• Series: Studies in Universal Logic
• Subjects: Mathematics.; Logic.; Information storage and retrieval systems.; Algebra.; Logic, Symbolic and mathematical.; Mathematical Logic and Foundations.; Order, Lattices, Ordered Algebraic Structures.; Game Theory, Economics, Social and Behav. Sciences.; Information Storage and Retrieval.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0348-0609-1

This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping...

Table of Contents:

• Foreword
• 1 Philosophical problems
• 2 Information data structures
• 3 Empirical Clustering and classic hierarchies
• 4 Algebra of trees
• 5 Generalized Classifications
• 6 Topology of generalized classifications
• 7 Meta-classification
• 8 For an axiomatic theory of classifications
• 9 Alternative theories and higher infinite
• 10 Postscript
• Bibliography. .