Quatrième de couverture
Marcel Brissaud, during the seventies, has been the first to observe the
interest of developing mathematical concepts adapted to humanities.
Pretopology theory relies on the statement that the axiomatic of mathematical
topology is too strong to model the phenomena of social sciences. This
axiomatic has to be reconsidered to give birth to a theory that is adapted to
data issued from these fields of expertise, better than trying to force data to
fit to an existing and inadequate theory.
This book is the first English revised version of a first book, published in
French, which is planned to be the first of a series dedicated to the whole set
of results obtained in Pretopology: continuity, connectedness, associated
metric...
Many applications of Pretopology were conducted in various fields: economy
with the structural analysis of a economy, game theory with the study
of the dynamics of coalitions in cooperative games, sociology with analysis
of social networks, data analysis with the construction of clustering algorithms,
pattern recognition with digital image analysis as in mathematical
morphology, etc.
Purely mathematical work in Pretopology has enabled the building of processing
algorithms that have been put in a software library, Pretopolib,
allowing researchers to implement a pretopological approach in their
work.
We wish the reader of this book the pleasure of exploring the basics of
Pretopology and we hope that he will find the materials for his own work
and we give him a rendez-vous for the next books on the subject.
Carte fidélité
Mollat Radio
